id int64 0 30k | problem stringclasses 3
values | n_nodes int64 4 17 | topo stringclasses 5
values | adj listlengths 4 17 | x listlengths 4 17 | gamma listlengths 1 1 | beta listlengths 1 1 | ratio float64 0.85 1 | exact_value float64 1 72 | exact_solution listlengths 4 17 |
|---|---|---|---|---|---|---|---|---|---|---|
29,400 | MAX_CLIQUE | 16 | LOLLIPOP | [
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29,401 | MAXCUT | 7 | WS | [
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0.1786515... | [
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29,402 | MIS | 13 | REG | [
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29,403 | MIS | 4 | WS | [
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29,404 | MAXCUT | 9 | WS | [
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0.1109948... | [
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29,405 | MAXCUT | 9 | REG | [
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0.1111111111... | [
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29,406 | MAXCUT | 5 | ER | [
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0.200000000... | [
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29,407 | MIS | 14 | BA | [
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0.1369997... | [
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29,408 | MIS | 4 | REG | [
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29,409 | MIS | 11 | ER | [
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0.0997995... | [
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29,410 | MIS | 15 | WS | [
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29,411 | MIS | 12 | REG | [
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0.0... | [
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29,412 | MAX_CLIQUE | 13 | REG | [
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0.042... | [
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29,413 | MIS | 13 | ER | [
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0... | [
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29,414 | MAX_CLIQUE | 9 | WS | [
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0.... | [
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29,415 | MIS | 17 | ER | [
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29,416 | MAXCUT | 7 | REG | [
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0.1429461... | [
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29,417 | MAXCUT | 17 | REG | [
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29,418 | MAX_CLIQUE | 9 | ER | [
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29,419 | MIS | 12 | WS | [
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29,420 | MAXCUT | 4 | REG | [
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29,421 | MIS | 5 | ER | [
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29,422 | MIS | 12 | ER | [
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29,423 | MAXCUT | 6 | REG | [
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29,424 | MIS | 11 | LOLLIPOP | [
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29,425 | MAXCUT | 8 | ER | [
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29,426 | MAXCUT | 7 | WS | [
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29,427 | MIS | 15 | REG | [
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29,428 | MIS | 17 | REG | [
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29,429 | MAX_CLIQUE | 6 | LOLLIPOP | [
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29,430 | MIS | 8 | ER | [
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0.13123... | [
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29,431 | MIS | 12 | ER | [
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29,432 | MAX_CLIQUE | 17 | LOLLIPOP | [
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29,433 | MIS | 8 | BA | [
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0.19974457... | [
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29,434 | MAX_CLIQUE | 10 | ER | [
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29,435 | MAXCUT | 7 | WS | [
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29,436 | MIS | 10 | LOLLIPOP | [
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29,437 | MAXCUT | 5 | REG | [
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] | [
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0.2000000477,
0.1999999881,
0.200000003,
0.1999999993,
0.200000000... | [
1.7775271547
] | [
1.3054890261
] | 0.984202 | 6 | [
1,
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0
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29,438 | MIS | 13 | LOLLIPOP | [
[
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[
1,
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... | [
[
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0.1421864121,
0.1410958616,
0.14019... | [
2.8850742902
] | [
2.6684773941
] | 1 | 5 | [
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29,439 | MAXCUT | 16 | ER | [
[
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[
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0.0755419342,
0.0755955469,
0.0755765422,
0.0755831399,
0.0755807817,
0.07558... | [
3.0129997326
] | [
0.2392590839
] | 0.871637 | 54 | [
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1,
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0
] |
29,440 | MAX_CLIQUE | 11 | ER | [
[
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1,
0,
1,
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[
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[
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[
1,
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[
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0.113183473,
0.1127851059,
0.11297026,
0.1128721816,
0.1129201082,
0.11289... | [
-0.2106635566
] | [
0.5418387143
] | 1 | 5 | [
1,
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29,441 | MAXCUT | 7 | REG | [
[
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[
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[
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[
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... | [
[
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0.1044484275,
0.0973883688,
0.0966753927,
0.094076563,
0.0934275254,
0.0924115412,
0.0920... | [
3.4016616986
] | [
1.2559008059
] | 0.868584 | 8 | [
0,
1,
0,
1,
0,
1,
0
] |
29,442 | MIS | 8 | LOLLIPOP | [
[
0,
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1,
1,
0,
0,
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0
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[
1,
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[
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[
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[
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[
3,
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1,
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0.1862310344,
0.1813519678,
0.1790069222,
0.1752498468,
0.1733265516,
0.1703004328,... | [
3.5247521694
] | [
0.4275332596
] | 0.864155 | 3 | [
1,
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1,
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1,
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29,443 | MIS | 10 | LOLLIPOP | [
[
0,
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1,
1,
0,
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[
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[
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[
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[
... | [
[
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1,
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0.375,
0.1059245432,
0.4386822686,
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0.1600798741,
0.1585643323,
0.1567899472,
0.1554578194,
... | [
0.3048282526
] | [
2.6895929174
] | 1 | 4 | [
1,
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1
] |
29,444 | MAX_CLIQUE | 10 | REG | [
[
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[
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[
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[
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[
... | [
[
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0.1066131592,
0.0952448845,
0.1034345627,
0.097517848,
0.10... | [
3.3754190104
] | [
-2.6396815664
] | 1 | 3 | [
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1,
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29,445 | MAX_CLIQUE | 14 | LOLLIPOP | [
[
0,
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1,
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[
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[
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... | [
[
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0.1295072333,
0.128767278,
0.1279630734,
0.1272994843,
0.1265908551,... | [
3.2720941631
] | [
0.6005558222
] | 1 | 7 | [
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29,446 | MAXCUT | 14 | LOLLIPOP | [
[
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1,
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1,
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0,
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[
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[
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... | [
[
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0.1304506179,
0.1295072333,
0.128767278,
0.1279630734,
0.1272994843,
0.1265908551,... | [
2.9315202095
] | [
0.2649823527
] | 0.858996 | 19 | [
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1,
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29,447 | MAXCUT | 9 | WS | [
[
0,
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0,
1,
0,
0,
1,
1
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[
1,
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[
1,
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[
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[
1,
0,
1,
1,
... | [
[
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0.625,
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0.7272727273,
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0.1421354167,
0.1369682888,
0.1401348651,
0.1381286293,
0.1393790965,
0.1385848394,
0.13908... | [
3.3820256706
] | [
1.2433913458
] | 0.862779 | 13 | [
1,
0,
0,
1,
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0,
1,
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0
] |
29,448 | MAX_CLIQUE | 8 | LOLLIPOP | [
[
0,
1,
1,
1,
0,
0,
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],
[
1,
0,
1,
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[
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[
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[
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[
3,
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0.1886359739,
0.1862310344,
0.1813519678,
0.1790069222,
0.1752498468,
0.1733265516,
0.1703004328,... | [
3.3856209359
] | [
0.5032269852
] | 1 | 4 | [
1,
1,
1,
1,
0,
0,
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0
] |
29,449 | MAXCUT | 4 | REG | [
[
0,
1,
1,
1
],
[
1,
0,
1,
1
],
[
1,
1,
0,
1
],
[
1,
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1,
0
]
] | [
[
3,
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0.2592592593,
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0.2500127013,
0.2499957662,
0.2500014113,
0.2499995296,
0.2500001568,
0.2499999477,
... | [
1.8165466874
] | [
0.2824607443
] | 0.924379 | 4 | [
1,
1,
0,
0
] |
29,450 | MAX_CLIQUE | 8 | LOLLIPOP | [
[
0,
1,
1,
1,
0,
0,
0,
0
],
[
1,
0,
1,
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[
1,
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[
1,
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1,
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[
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1,
0,
1,
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]... | [
[
3,
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1,
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0,
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0.195473251,
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0.1886359739,
0.1862310344,
0.1813519678,
0.1790069222,
0.1752498468,
0.1733265516,
0.1703004328,... | [
3.385615919
] | [
0.503430533
] | 1 | 4 | [
1,
1,
1,
1,
0,
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0
] |
29,451 | MAX_CLIQUE | 11 | BA | [
[
0,
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0,
0,
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0,
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1,
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[
1,
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[
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[
0,
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1,
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... | [
[
2,
0.2,
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0.3555555556,
0.4545454545,
0.0960233763,
0.3430877526,
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0,
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0,
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],
[
5,
0.5,
0,
0.84... | [
2.9898175119
] | [
2.5816172795
] | 1 | 2 | [
1,
1,
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] |
29,452 | MAX_CLIQUE | 11 | BA | [
[
0,
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1,
1,
1,
1,
1,
0,
0,
1,
0
],
[
1,
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[
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[
1,
0,
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1,
... | [
[
7,
0.7,
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0.7692307692,
0.3200953175,
0.6830130267,
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0,
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0,
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0,
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0,
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],
[
1,
0... | [
2.9930408157
] | [
2.576828751
] | 1 | 2 | [
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
29,453 | MIS | 6 | WS | [
[
0,
1,
1,
0,
1,
1
],
[
1,
0,
1,
1,
1,
1
],
[
1,
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0,
0,
1,
0
],
[
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],
[
1,
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1,
1,
0,
1
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[
1,
1,
0,
1,
1,
0
]
] | [
[
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0.8,
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0.0333333333,
0.8333333333,
0.1664311753,
0.4091667403,
0,
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0.1803368056,
0.1608,
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0.1655290718,
0.1671673937,
0.1664467808,
0.1667633266,
0.1666241945,
0.1666853325,
0.166... | [
0.2685399422
] | [
2.6669164028
] | 1 | 2 | [
1,
0,
0,
1,
0,
0
] |
29,454 | MAXCUT | 4 | WS | [
[
0,
1,
1,
1
],
[
1,
0,
1,
1
],
[
1,
1,
0,
1
],
[
1,
1,
1,
0
]
] | [
[
3,
1,
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0.25,
0.5,
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0.2222222222,
0.2592592593,
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0.2510288066,
0.2496570645,
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0.2500127013,
0.2499957662,
0.2500014113,
0.2499995296,
0.2500001568,
0.2499999477,
... | [
3.3873507787
] | [
1.2883371404
] | 0.924379 | 4 | [
1,
1,
0,
0
] |
29,455 | MAX_CLIQUE | 12 | REG | [
[
0,
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0,
1,
1,
0,
0,
1,
1,
1,
0,
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],
[
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[
0,
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1,
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1,
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0,
0,
1,
0
],
[
1,
1,
1,
0,
0,
... | [
[
5,
0.4545454545,
0.3,
0.053030303,
0.6470588235,
0.0833333333,
0.2886751346,
0,
0.2,
0.048,
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0.06976,
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0.077952,
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0.081028096,
0.0849267712,
0.0822564454,
0.0840961761,
0.0827925021,
0.083725282,
0.083... | [
2.9411454455
] | [
-0.5227701066
] | 1 | 3 | [
1,
0,
0,
0,
1,
0,
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1,
0,
0,
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0
] |
29,456 | MAXCUT | 5 | ER | [
[
0,
1,
1,
1,
1
],
[
1,
0,
1,
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29,457 | MIS | 11 | WS | [
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29,458 | MIS | 17 | REG | [
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29,459 | MAXCUT | 13 | ER | [
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29,460 | MIS | 10 | LOLLIPOP | [
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29,461 | MAXCUT | 7 | ER | [
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0.11523... | [
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29,462 | MAX_CLIQUE | 12 | LOLLIPOP | [
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29,463 | MAX_CLIQUE | 14 | LOLLIPOP | [
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29,464 | MIS | 9 | REG | [
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0.1190411... | [
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29,465 | MAX_CLIQUE | 13 | ER | [
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29,466 | MAX_CLIQUE | 13 | BA | [
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29,467 | MIS | 10 | LOLLIPOP | [
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29,468 | MAXCUT | 4 | WS | [
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[
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29,469 | MAXCUT | 16 | LOLLIPOP | [
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0.1140521446... | [
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29,470 | MIS | 9 | REG | [
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0.1469... | [
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29,471 | MAXCUT | 12 | ER | [
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0.07... | [
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29,472 | MIS | 7 | WS | [
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29,473 | MAX_CLIQUE | 10 | REG | [
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29,474 | MAXCUT | 6 | WS | [
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29,475 | MAXCUT | 13 | ER | [
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29,476 | MAXCUT | 8 | REG | [
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29,478 | MIS | 8 | ER | [
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29,479 | MIS | 6 | BA | [
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29,480 | MAXCUT | 4 | REG | [
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29,481 | MAXCUT | 17 | WS | [
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29,482 | MIS | 11 | WS | [
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29,483 | MAXCUT | 6 | REG | [
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29,484 | MAX_CLIQUE | 12 | LOLLIPOP | [
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29,485 | MAX_CLIQUE | 12 | ER | [
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29,486 | MAXCUT | 9 | WS | [
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29,487 | MIS | 11 | LOLLIPOP | [
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29,488 | MIS | 13 | REG | [
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29,489 | MIS | 4 | WS | [
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29,490 | MAXCUT | 16 | WS | [
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29,491 | MAX_CLIQUE | 7 | LOLLIPOP | [
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29,492 | MIS | 5 | ER | [
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29,493 | MAXCUT | 16 | WS | [
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0.0903645833,
0.0958658854,
0.0811290148,
0.0801458062,
0.0742051188,
0.0725116964,
0.0697586907,
0.0684492458,
0.0670255858,
... | [
3.3790740401
] | [
2.8184028041
] | 0.863953 | 23 | [
1,
1,
0,
1,
1,
0,
0,
1,
1,
0,
0,
1,
1,
0,
0,
0
] |
29,494 | MAX_CLIQUE | 10 | LOLLIPOP | [
[
0,
1,
1,
1,
1,
0,
0,
0,
0,
0
],
[
1,
0,
1,
1,
1,
0,
0,
0,
0,
0
],
[
1,
1,
0,
1,
1,
0,
0,
0,
0,
0
],
[
1,
1,
1,
0,
1,
0,
0,
0,
0,
0
],
[
... | [
[
4,
0.4444444444,
1,
0,
0.375,
0.1059245432,
0.4386822686,
0,
0.2375,
0.16875,
0.18140625,
0.17296875,
0.1717167969,
0.1682666016,
0.1663813721,
0.1638681152,
0.1621526303,
0.1600798741,
0.1585643323,
0.1567899472,
0.1554578194,
... | [
2.9528056522
] | [
-0.5433461404
] | 1 | 5 | [
1,
1,
1,
1,
1,
0,
0,
0,
0,
0
] |
29,495 | MAXCUT | 8 | REG | [
[
0,
1,
1,
0,
0,
1,
1,
1
],
[
1,
0,
0,
1,
1,
0,
1,
1
],
[
1,
0,
0,
1,
1,
1,
0,
1
],
[
0,
1,
1,
0,
1,
1,
1,
0
],
[
0,
1,
1,
1,
0,
0,
1,
1
]... | [
[
5,
0.7142857143,
0.6,
0.0476190476,
0.7777777778,
0.125,
0.3535533906,
0,
0.2,
0.096,
0.1392,
0.1184,
0.128192,
0.1234688,
0.12573952,
0.124643328,
0.125172224,
0.1249168589,
0.1250401444,
0.1249806172,
0.1250093588,
0.1249954... | [
1.3657656392
] | [
1.274256925
] | 0.850065 | 14 | [
1,
1,
0,
0,
1,
1,
0,
0
] |
29,496 | MAXCUT | 7 | REG | [
[
0,
1,
1,
1,
0,
1,
0
],
[
1,
0,
1,
1,
0,
0,
1
],
[
1,
1,
0,
0,
1,
0,
1
],
[
1,
1,
0,
0,
1,
1,
0
],
[
0,
0,
1,
1,
0,
1,
1
],
[
1,
0,
0,
1,
... | [
[
4,
0.6666666667,
0.5,
0.0666666667,
0.75,
0.1428571429,
0.377964473,
0,
0.25,
0.09375,
0.171875,
0.126953125,
0.1518554688,
0.1378173828,
0.145690918,
0.1412658691,
0.1437511444,
0.1423549652,
0.1431392431,
0.1426986754,
0.1429461... | [
0.2364400562
] | [
2.8226877607
] | 0.866716 | 10 | [
1,
1,
0,
0,
1,
0,
0
] |
29,497 | MAXCUT | 9 | WS | [
[
0,
1,
1,
0,
0,
0,
0,
1,
1
],
[
1,
0,
1,
1,
0,
0,
0,
0,
1
],
[
1,
1,
0,
0,
1,
0,
1,
0,
0
],
[
0,
1,
0,
0,
1,
1,
0,
0,
0
],
[
0,
0,
1,
1,
... | [
[
4,
0.5,
0.5,
0.0476190476,
0.6666666667,
0.1108833269,
0.3305647177,
0,
0.25,
0.09375,
0.1427083333,
0.1069010417,
0.11875,
0.1099712457,
0.1130069987,
0.1107858276,
0.1115920704,
0.1110150012,
0.1112359479,
0.1110819461,
0.111144... | [
2.901117207
] | [
0.3273550947
] | 0.862779 | 13 | [
1,
1,
0,
0,
1,
0,
1,
0,
0
] |
29,498 | MIS | 8 | BA | [
[
0,
1,
1,
1,
1,
1,
1,
0
],
[
1,
0,
0,
0,
1,
0,
1,
0
],
[
1,
0,
0,
0,
1,
1,
1,
1
],
[
1,
0,
0,
0,
0,
0,
0,
1
],
[
1,
1,
1,
0,
0,
1,
0,
1
]... | [
[
6,
0.8571428571,
0.4,
0.2698412698,
0.875,
0.1920680744,
0.4815889258,
0,
0.3166666667,
0.1392592593,
0.235845679,
0.1793646091,
0.2125817353,
0.1923532401,
0.2047699812,
0.197021271,
0.2018813868,
0.1988101395,
0.2007561655,
0.199519... | [
3.4006400333
] | [
0.5010039126
] | 1 | 3 | [
0,
1,
1,
1,
0,
0,
0,
0
] |
29,499 | MIS | 15 | REG | [
[
0,
0,
0,
1,
0,
0,
1,
0,
0,
1,
0,
1,
0,
1,
0
],
[
0,
0,
0,
0,
0,
1,
0,
1,
0,
0,
0,
0,
0,
1,
0
],
[
0,
0,
0,
1,
0,
0,
1,
1,
1,
0,
0,
0,
... | [
[
5,
0.3571428571,
0.5,
0.0269492412,
0.6086956522,
0.0591359047,
0.2186356213,
0,
0.1617532468,
0.0412012987,
0.0751897158,
0.0538051471,
0.0616246653,
0.0570074846,
0.0589530077,
0.0578392982,
0.0583428361,
0.0580591888,
0.058192035,
... | [
0.17003532
] | [
2.5699746599
] | 1 | 6 | [
1,
1,
1,
0,
1,
0,
0,
0,
0,
0,
1,
0,
1,
0,
0
] |
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