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
29,700
MIS
13
BA
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[ 2.565108051 ]
1
6
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29,701
MAXCUT
8
REG
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[ 1.3657455138 ]
[ 1.274233579 ]
0.850065
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29,702
MIS
8
WS
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[ 3.4196905743 ]
[ 0.4785940877 ]
1
3
[ 0, 1, 0, 0, 1, 0, 1, 0 ]
29,703
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 2.9348222228 ]
[ 0.2653338808 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
29,704
MAXCUT
9
REG
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 1, 1, 1, 1, ...
[ [ 8, 1, 1, 0, 1, 0.1111111111, 0.3333333333, 0, 0.125, 0.109375, 0.111328125, 0.1110839844, 0.111114502, 0.1111106873, 0.1111111641, 0.1111111045, 0.1111111119, 0.111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111...
[ 1.705993069 ]
[ 1.3468087817 ]
0.989174
20
[ 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
29,705
MAXCUT
15
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, ...
[ [ 4, 0.2857142857, 0.5, 0.0633830455, 0.4516129032, 0.0663033697, 0.2571026365, 0, 0.25, 0.09375, 0.1390625, 0.0953125, 0.1021223958, 0.0866910807, 0.0857459174, 0.0792894626, 0.0774108849, 0.0743256705, 0.07285477, 0.0712409297, 0....
[ 0.240121569 ]
[ 1.2421758913 ]
0.850344
22
[ 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0 ]
29,706
MIS
4
REG
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 2.7860292185 ]
[ 2.73136503 ]
1
1
[ 1, 0, 0, 0 ]
29,707
MIS
10
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 0, 1, 0, 1, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, 0, 0 ], [ ...
[ [ 4, 0.4444444444, 0.5, 0.066005291, 0.6, 0.1005229702, 0.2976588902, 0, 0.2583333333, 0.0979166667, 0.14325, 0.1031649306, 0.1132060561, 0.1017455078, 0.10422979, 0.1007207467, 0.1013962721, 0.100265749, 0.1004724329, 0.1000909662, ...
[ 3.4170085202 ]
[ 0.481353166 ]
1
4
[ 0, 1, 0, 0, 1, 0, 0, 1, 1, 0 ]
29,708
MAXCUT
6
REG
[ [ 0, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1 ], [ 1, 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 1, 0 ] ]
[ [ 5, 1, 1, 0, 1, 0.1666666667, 0.4082482905, 0, 0.2, 0.16, 0.168, 0.1664, 0.16672, 0.166656, 0.1666688, 0.16666624, 0.166666752, 0.1666666496, 0.1666666701, 0.166666666, 0.1666666668, 0.1666666666, 0.1666666667 ], [ ...
[ 4.8928710543 ]
[ 1.8228029388 ]
0.957688
9
[ 1, 1, 1, 0, 0, 0 ]
29,709
MAXCUT
6
REG
[ [ 0, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1 ], [ 1, 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 1, 0 ] ]
[ [ 5, 1, 1, 0, 1, 0.1666666667, 0.4082482905, 0, 0.2, 0.16, 0.168, 0.1664, 0.16672, 0.166656, 0.1666688, 0.16666624, 0.166666752, 0.1666666496, 0.1666666701, 0.166666666, 0.1666666668, 0.1666666666, 0.1666666667 ], [ ...
[ 1.7512685004 ]
[ 0.2520359546 ]
0.957688
9
[ 1, 1, 1, 0, 0, 0 ]
29,710
MAXCUT
4
WS
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 3.3873181834 ]
[ 1.2883146358 ]
0.924379
4
[ 1, 1, 0, 0 ]
29,711
MAX_CLIQUE
16
BA
[ [ 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, ...
[ [ 6, 0.4, 0, 0.7904761905, 0.5, 0.1802530203, 0.6297556486, 0, 0.7222222222, 0, 0.6014660494, 0, 0.5392339678, 0, 0.5023596167, 0, 0.4782102559, 0, 0.4613161155, 0, 0.4489810462, 0, 0.4397088321 ], [ 2, 0.1333333...
[ 2.803862513 ]
[ 0.51539316 ]
1
2
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
29,712
MAXCUT
6
REG
[ [ 0, 1, 1, 1, 1, 0 ], [ 1, 0, 0, 1, 1, 1 ], [ 1, 0, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 0, 1 ], [ 1, 1, 1, 0, 0, 1 ], [ 0, 1, 1, 1, 1, 0 ] ]
[ [ 4, 0.8, 0.6666666667, 0.05, 0.8333333333, 0.1666666667, 0.4082482905, 0, 0.25, 0.125, 0.1875, 0.15625, 0.171875, 0.1640625, 0.16796875, 0.166015625, 0.1669921875, 0.1665039062, 0.1667480469, 0.1666259766, 0.1666870117, 0.16665...
[ 2.9136660404 ]
[ 0.2985742692 ]
0.912525
8
[ 0, 1, 1, 0, 0, 0 ]
29,713
MAX_CLIQUE
11
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, ...
[ [ 4, 0.4, 0.5, 0.0914814815, 0.5555555556, 0.0908495397, 0.2977670956, 0, 0.25, 0.09375, 0.1388020833, 0.0962239583, 0.1067947049, 0.093811849, 0.0963428096, 0.0922400422, 0.0928001914, 0.0914773383, 0.0915761806, 0.0911424688, 0.09...
[ 2.9428874613 ]
[ 2.6132688582 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
29,714
MAX_CLIQUE
13
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, ...
[ [ 5, 0.4166666667, 0.4, 0.1481481481, 0.5714285714, 0.0933878899, 0.3482296666, 0, 0.2566666667, 0.1066666667, 0.1462388889, 0.1096236111, 0.115511419, 0.1044512477, 0.1046035239, 0.1007234964, 0.1001288845, 0.0985962412, 0.0981142937, ...
[ 6.1270937215 ]
[ 0.5612126155 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
29,715
MAXCUT
4
REG
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 1.816557124 ]
[ 1.8532328061 ]
0.924379
4
[ 1, 1, 0, 0 ]
29,716
MAX_CLIQUE
17
BA
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 1, 1, 1, ...
[ [ 12, 0.75, 0.2121212121, 0.3119047619, 0.8, 0.1359233714, 0.4168020146, 0, 0.2912037037, 0.0867438272, 0.189648341, 0.120068935, 0.1595031188, 0.1337002932, 0.1491078223, 0.1391957009, 0.1452719701, 0.1413936172, 0.143805767, 0.1422709...
[ 3.2529592568 ]
[ 0.6408675947 ]
1
4
[ 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
29,717
MAXCUT
13
WS
[ [ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, ...
[ [ 4, 0.3333333333, 0.3333333333, 0.0921717172, 0.5714285714, 0.0768666699, 0.2366402486, 0, 0.2375, 0.05625, 0.1237708333, 0.0697881944, 0.0938339497, 0.0742876182, 0.0839949234, 0.0759214638, 0.0801928715, 0.0765372473, 0.0785352032, 0...
[ 0.2414673823 ]
[ 1.2422231019 ]
0.850828
19
[ 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0 ]
29,718
MAXCUT
4
REG
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 2.8958427846 ]
[ 0.2824236278 ]
0.924379
4
[ 1, 1, 0, 0 ]
29,719
MAXCUT
7
REG
[ [ 0, 1, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1, 1 ], [ 1, 1, 1, 1, 0, 1, 1 ], [ 1, 1, 1, 1, ...
[ [ 6, 1, 1, 0, 1, 0.1428571429, 0.377964473, 0, 0.1666666667, 0.1388888889, 0.1435185185, 0.1427469136, 0.1428755144, 0.1428540809, 0.1428576532, 0.1428570578, 0.142857157, 0.1428571405, 0.1428571433, 0.1428571428, 0.1428571429, ...
[ -0.1614264728 ]
[ 1.8119050584 ]
0.986463
12
[ 1, 1, 1, 0, 0, 0, 0 ]
29,720
MAXCUT
14
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ], ...
[ [ 6, 0.4615384615, 1, 0, 0.3170731707, 0.0767222072, 0.3757688382, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551,...
[ 2.9315182507 ]
[ 0.2649513008 ]
0.858996
19
[ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
29,721
MAX_CLIQUE
11
REG
[ [ 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0 ], [ 1, 1, 1, 0, 0, 0, 0, 0, ...
[ [ 4, 0.4, 0, 0.0703703704, 0.625, 0.0909090909, 0.3015113446, 0, 0.25, 0, 0.1640625, 0.0390625, 0.130859375, 0.0610351562, 0.1140136719, 0.0731811523, 0.1047267914, 0.0801515579, 0.0993486643, 0.0842831731, 0.096131362, 0.086789...
[ 3.3423221375 ]
[ 0.5219195867 ]
1
3
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
29,722
MAX_CLIQUE
9
BA
[ [ 0, 1, 1, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 1, 1, 1, 0, 1 ], [ 0, 0, 1, 1, ...
[ [ 4, 0.5, 0.1666666667, 0.3273809524, 0.6666666667, 0.1490521315, 0.3054892867, 0, 0.5, 0.0277777778, 0.3134259259, 0.0651234568, 0.2303034979, 0.0938460219, 0.1899895262, 0.1128185109, 0.1692353936, 0.1246455938, 0.1580367299, 0.131846...
[ 3.3566644873 ]
[ 0.5217755256 ]
1
3
[ 1, 0, 1, 1, 0, 0, 0, 0, 0 ]
29,723
MIS
12
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, ...
[ [ 5, 0.4545454545, 1, 0, 0.34375, 0.089240395, 0.4042131806, 0, 0.1933333333, 0.1493333333, 0.1555333333, 0.1513244444, 0.1501911111, 0.1482688, 0.1470201726, 0.1455393375, 0.1444287571, 0.1431805967, 0.1421864121, 0.1410958616, 0.1...
[ 2.889586298 ]
[ 2.666175378 ]
1
4
[ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0 ]
29,724
MAX_CLIQUE
9
LOLLIPOP
[ [ 0, 1, 1, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, ...
[ [ 3, 0.375, 1, 0, 0.347826087, 0.1134936958, 0.4771526363, 0, 0.3055555556, 0.1851851852, 0.2164351852, 0.195473251, 0.1962502143, 0.1886359739, 0.1862310344, 0.1813519678, 0.1788441618, 0.175032833, 0.1727840169, 0.1696192503, 0.16...
[ 2.9333155087 ]
[ -0.5216796454 ]
1
4
[ 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
29,725
MAX_CLIQUE
10
ER
[ [ 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 1 ], [ 0, 1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ ...
[ [ 2, 0.2222222222, 0, 0.0277777778, 0.45, 0.0714288282, 0.1549724302, 0, 0.3333333333, 0, 0.1685185185, 0.0273148148, 0.1112204218, 0.0438876029, 0.0886407786, 0.0530217621, 0.0787474973, 0.0581511313, 0.0739013317, 0.0611649968, 0....
[ 2.9510487408 ]
[ 2.6043554452 ]
1
3
[ 0, 0, 0, 1, 0, 1, 0, 0, 1, 0 ]
29,726
MIS
14
ER
[ [ 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0 ], [ 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1 ], [ 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1 ], ...
[ [ 5, 0.3846153846, 0.4, 0.0152014652, 0.619047619, 0.0545906295, 0.1956226986, 0, 0.1341269841, 0.0313492063, 0.0680158686, 0.0463135031, 0.0556691357, 0.0505555866, 0.0529440889, 0.0516855384, 0.0522966809, 0.0519804601, 0.0521371031, ...
[ -0.165731938 ]
[ 0.5648665014 ]
1
4
[ 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0 ]
29,727
MIS
5
ER
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
[ [ 4, 1, 1, 0, 1, 0.2, 0.4472135955, 0, 0.25, 0.1875, 0.203125, 0.19921875, 0.2001953125, 0.1999511719, 0.200012207, 0.1999969482, 0.2000007629, 0.1999998093, 0.2000000477, 0.1999999881, 0.200000003, 0.1999999993, 0.200000000...
[ 2.8619232264 ]
[ -0.4495330119 ]
1
1
[ 1, 0, 0, 0, 0 ]
29,728
MAX_CLIQUE
10
BA
[ [ 0, 1, 0, 1, 0, 1, 1, 0, 0, 0 ], [ 1, 0, 1, 0, 1, 0, 0, 1, 1, 1 ], [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ ...
[ [ 4, 0.4444444444, 0, 0.5833333333, 0.6428571429, 0.2125313761, 0.4420954795, 0, 0.7916666667, 0, 0.6614583333, 0, 0.580078125, 0, 0.5292154948, 0, 0.4974263509, 0, 0.477558136, 0, 0.4651405017, 0, 0.4573794802 ], [ ...
[ 5.7392901502 ]
[ -0.2816239481 ]
1
2
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
29,729
MAX_CLIQUE
12
WS
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3
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MIS
10
ER
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[ 2.6265916629 ]
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4
[ 0, 0, 0, 1, 1, 0, 1, 0, 1, 0 ]
29,731
MAXCUT
5
WS
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[ 3.3483389767 ]
[ 1.3054799547 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
29,732
MIS
12
BA
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[ 3.3421232825 ]
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6
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29,733
MIS
6
ER
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1
1
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MIS
5
WS
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1
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29,735
MAX_CLIQUE
14
LOLLIPOP
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1
7
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
29,736
MAXCUT
14
LOLLIPOP
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0.858996
19
[ 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
29,737
MAX_CLIQUE
9
WS
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[ 0.2718268025 ]
[ -0.4921117088 ]
1
4
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29,738
MAX_CLIQUE
15
LOLLIPOP
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MIS
11
LOLLIPOP
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4
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29,740
MAX_CLIQUE
10
LOLLIPOP
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[ 3.3303290142 ]
[ 0.5432787075 ]
1
5
[ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
29,741
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
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[ 3.3873481984 ]
[ -0.2824506427 ]
0.924379
4
[ 1, 1, 0, 0 ]
29,742
MAXCUT
7
ER
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0.986463
12
[ 1, 1, 1, 0, 0, 0, 0 ]
29,743
MAX_CLIQUE
16
BA
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1
3
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29,744
MAX_CLIQUE
15
WS
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3
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29,745
MIS
9
REG
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[ 0.2829040022 ]
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1
3
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29,746
MAXCUT
5
ER
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 1.3640320999 ]
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0.984202
6
[ 1, 1, 0, 0, 0 ]
29,747
MAXCUT
16
LOLLIPOP
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0.856915
24
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29,748
MIS
8
ER
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1
4
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29,749
MAX_CLIQUE
14
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1
6
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29,750
MIS
7
WS
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[ 0.2776643243 ]
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3
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29,751
MAXCUT
4
REG
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0.924379
4
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29,752
MIS
11
ER
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1
5
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29,753
MAX_CLIQUE
17
REG
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[ 0.4668907844 ]
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4
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29,754
MIS
8
WS
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1
2
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29,755
MAXCUT
5
REG
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[ 1.3640142944 ]
[ 0.2652984186 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
29,756
MAXCUT
8
REG
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[ 2.9364950805 ]
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0.850065
14
[ 1, 1, 0, 0, 1, 1, 0, 0 ]
29,757
MAX_CLIQUE
13
LOLLIPOP
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[ 6.1433393317 ]
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6
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29,758
MIS
17
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MAXCUT
6
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MAXCUT
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MAXCUT
7
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MAX_CLIQUE
8
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MIS
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MIS
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29,766
MAX_CLIQUE
16
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MAXCUT
6
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8
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29,768
MAXCUT
16
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24
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29,769
MAX_CLIQUE
16
BA
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29,770
MAX_CLIQUE
7
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3
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29,771
MAX_CLIQUE
9
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29,772
MAXCUT
14
ER
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49
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29,773
MAX_CLIQUE
16
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MIS
11
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MAX_CLIQUE
12
REG
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29,776
MAXCUT
5
ER
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0.984202
6
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29,777
MIS
14
ER
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[ 3.3031925975 ]
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1
4
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29,778
MAX_CLIQUE
16
ER
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29,779
MIS
10
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29,780
MAXCUT
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29,781
MAX_CLIQUE
15
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MIS
10
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MIS
14
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MIS
16
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29,785
MAXCUT
6
WS
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0.898191
8
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29,786
MIS
8
WS
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[ [ 4, 0.5714285714, 0.5, 0.0714285714, 0.7, 0.125, 0.3535533906, 0, 0.25, 0.09375, 0.1484375, 0.1171875, 0.1298828125, 0.123046875, 0.1260986328, 0.1245117187, 0.1252593994, 0.1248779297, 0.1250629425, 0.1249694824, 0.1250154972, ...
[ 3.4249823016 ]
[ 0.4705948174 ]
1
2
[ 1, 0, 0, 1, 0, 0, 0, 0 ]
29,787
MIS
17
ER
[ [ 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1 ], [ 0, 1, 0, 1, 1, 0, 1, 0, ...
[ [ 4, 0.25, 0.3333333333, 0.0108333333, 0.5517241379, 0.0370791866, 0.138994903, 0, 0.1313582251, 0.0132575758, 0.0521873182, 0.0258688741, 0.0384109912, 0.030780987, 0.0349026406, 0.0324746999, 0.0338425316, 0.0330456655, 0.0335015033, ...
[ 0.1637210198 ]
[ 2.5755986958 ]
1
5
[ 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
29,788
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
[ [ 4, 1, 1, 0, 1, 0.2, 0.4472135955, 0, 0.25, 0.1875, 0.203125, 0.19921875, 0.2001953125, 0.1999511719, 0.200012207, 0.1999969482, 0.2000007629, 0.1999998093, 0.2000000477, 0.1999999881, 0.200000003, 0.1999999993, 0.200000000...
[ 1.3640627051 ]
[ 1.8361300952 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
29,789
MAX_CLIQUE
12
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, ...
[ [ 5, 0.4545454545, 1, 0, 0.34375, 0.089240395, 0.4042131806, 0, 0.1933333333, 0.1493333333, 0.1555333333, 0.1513244444, 0.1501911111, 0.1482688, 0.1470201726, 0.1455393375, 0.1444287571, 0.1431805967, 0.1421864121, 0.1410958616, 0.1...
[ -0.154186068 ]
[ 0.5755407615 ]
1
6
[ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
29,790
MAXCUT
14
ER
[ [ 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0 ], [ 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1 ], ...
[ [ 7, 0.5384615385, 0.5714285714, 0.0217948718, 0.6842105263, 0.0636087488, 0.2310435331, 0, 0.1229591837, 0.0485204082, 0.0702912401, 0.0597279794, 0.0638486066, 0.0619321249, 0.0627675195, 0.0623793563, 0.0625566237, 0.0624737361, 0.062512...
[ 2.9816818425 ]
[ 1.8457455791 ]
0.856597
37
[ 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0 ]
29,791
MIS
5
WS
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
[ [ 4, 1, 1, 0, 1, 0.2, 0.4472135955, 0, 0.25, 0.1875, 0.203125, 0.19921875, 0.2001953125, 0.1999511719, 0.200012207, 0.1999969482, 0.2000007629, 0.1999998093, 0.2000000477, 0.1999999881, 0.200000003, 0.1999999993, 0.200000000...
[ 0.2795718125 ]
[ 2.6920654296 ]
1
1
[ 1, 0, 0, 0, 0 ]
29,792
MAX_CLIQUE
17
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, ...
[ [ 7, 0.4375, 1, 0, 0.262295082, 0.0631358349, 0.3522407083, 0, 0.1403061224, 0.1180758017, 0.1201745367, 0.1186782293, 0.1180606406, 0.1172696408, 0.1166892029, 0.1160531581, 0.1155413039, 0.1149954142, 0.1145357087, 0.1140521446, 0...
[ -0.104513105 ]
[ 0.6824412704 ]
1
8
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
29,793
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 3.3873199653 ]
[ 1.2883499104 ]
0.924379
4
[ 1, 1, 0, 0 ]
29,794
MIS
16
ER
[ [ 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1 ], [ 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, ...
[ [ 10, 0.6666666667, 0.6, 0.0294142101, 0.75, 0.0634759543, 0.2431076934, 0, 0.1048484848, 0.0580815095, 0.0660253621, 0.0627886822, 0.0635033922, 0.0632410331, 0.0633096569, 0.0632860569, 0.0632928937, 0.0632906143, 0.0632913153, 0.0632...
[ 3.2706634899 ]
[ 0.5870968765 ]
1
3
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
29,795
MIS
12
REG
[ [ 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1 ], [ 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, 1, ...
[ [ 4, 0.3636363636, 0.3333333333, 0.0612121212, 0.6111111111, 0.0833333333, 0.2886751346, 0, 0.25, 0.0625, 0.125, 0.076171875, 0.0961914062, 0.0798339844, 0.0880432129, 0.0814743042, 0.0852813721, 0.0823574066, 0.0842018127, 0.0828323066...
[ 0.2822142543 ]
[ 2.6607210107 ]
1
4
[ 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0 ]
29,796
MIS
15
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, ...
[ [ 6, 0.4285714286, 0.2, 0.2633699634, 0.6086956522, 0.0944459177, 0.3898375706, 0, 0.2555555556, 0.0583333333, 0.1551929012, 0.0729224537, 0.1260964453, 0.0836926119, 0.1136831003, 0.0906315434, 0.1074431825, 0.0947242375, 0.1041062575, ...
[ 2.8713517384 ]
[ 2.6552985008 ]
1
6
[ 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0 ]
29,797
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ -1.8165834351 ]
[ 1.2883401292 ]
0.924379
4
[ 1, 1, 0, 0 ]
29,798
MAX_CLIQUE
17
ER
[ [ 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 0, 0, ...
[ [ 9, 0.5625, 0.2777777778, 0.2634920635, 0.6956521739, 0.1152788108, 0.4527619309, 0, 0.2342592593, 0.0983950617, 0.1552167781, 0.1144903578, 0.1355358454, 0.1203577732, 0.1290756989, 0.1229061617, 0.1266785481, 0.1240493223, 0.1257199148, ...
[ 2.7671432083 ]
[ 0.6862769605 ]
1
3
[ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
29,799
MAXCUT
15
ER
[ [ 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1 ], [ 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, ...
[ [ 9, 0.6428571429, 0.6388888889, 0.023683063, 0.7368421053, 0.0632979958, 0.2366288758, 0, 0.1059122976, 0.0551404254, 0.0657139975, 0.0617662488, 0.0627749897, 0.0624269775, 0.0625256578, 0.0624926003, 0.0625025257, 0.0624992356, 0.0625002...
[ 3.0018129641 ]
[ 0.2521692395 ]
0.866941
46
[ 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0 ]