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
700
MIS
4
REG
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
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[ 2.7860468887 ]
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1
1
[ 1, 0, 0, 0 ]
701
MIS
13
ER
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[ 3.330909045 ]
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1
4
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702
MAX_CLIQUE
8
REG
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[ 2.8593406238 ]
[ -0.4808588262 ]
1
3
[ 0, 1, 0, 0, 1, 1, 0, 0 ]
703
MAX_CLIQUE
17
LOLLIPOP
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[ -0.1051751942 ]
[ 0.6272662162 ]
1
8
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
704
MIS
8
LOLLIPOP
[ [ 0, 1, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0 ]...
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[ 2.7584048633 ]
[ 2.7141255095 ]
0.864155
3
[ 1, 0, 0, 0, 1, 0, 1, 0 ]
705
MIS
8
WS
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[ 2.8719619834 ]
[ 2.6555441711 ]
1
3
[ 0, 1, 1, 0, 1, 0, 0, 0 ]
706
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...
[ 3.3498871077 ]
[ 0.5217494607 ]
1
4
[ 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
707
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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[ 1.7775584374 ]
[ -0.2653386197 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
708
MIS
8
REG
[ [ 0, 0, 1, 1, 1, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 1, 1, 0 ], [ 1, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 1, 0, 1, 1 ], [ 1, 1, 0, 1, 0, 0, 0, 1 ]...
[ [ 4, 0.5714285714, 0.1666666667, 0.0753968254, 0.7, 0.125, 0.3535533906, 0, 0.25, 0.03125, 0.203125, 0.0625, 0.17578125, 0.083984375, 0.158203125, 0.0981445312, 0.1467285156, 0.107421875, 0.1392211914, 0.113494873, 0.1343078613, ...
[ 0.282230446 ]
[ 2.6606919543 ]
1
3
[ 0, 0, 1, 1, 0, 1, 0, 0 ]
709
MIS
7
ER
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[ 0.2955690535 ]
[ -0.4736751284 ]
1
3
[ 1, 1, 0, 1, 0, 0, 0 ]
710
MIS
11
ER
[ [ 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0 ], [ 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1 ], [ 0, 1, 1, 0, 1, 1, 0, 0, ...
[ [ 3, 0.3, 0, 0.0666666667, 0.5555555556, 0.0737487762, 0.1274318554, 0, 0.3333333333, 0, 0.165327381, 0.0249305556, 0.1062111619, 0.0439985804, 0.0829810476, 0.0547247532, 0.0731807251, 0.0601740932, 0.0688574249, 0.0628259284, 0.06...
[ 3.3793005946 ]
[ 0.5137008892 ]
1
4
[ 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0 ]
711
MIS
17
BA
[ [ 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 1, ...
[ [ 9, 0.5625, 0.2777777778, 0.1770899471, 0.6956521739, 0.102419675, 0.3614085994, 0, 0.2476631393, 0.0704438566, 0.1421448085, 0.0941847404, 0.1178552596, 0.1021360823, 0.1109748567, 0.1050440857, 0.1086811448, 0.1062108524, 0.1078096552, ...
[ 3.3135244757 ]
[ 0.5855005756 ]
1
8
[ 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1 ]
712
MAXCUT
10
ER
[ [ 0, 1, 1, 1, 1, 0, 0, 0, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 1 ], [ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 1, 0, 0, 0, 1 ], [ ...
[ [ 5, 0.5555555556, 0.3, 0.1805555556, 0.6923076923, 0.1471473203, 0.4574221381, 0, 0.3066666667, 0.09, 0.2142111111, 0.1232833333, 0.1824591852, 0.1392700556, 0.1691365117, 0.1473506381, 0.1628708765, 0.1515334971, 0.1597314048, 0.15373...
[ 2.8702638927 ]
[ 0.3538387326 ]
0.862223
12
[ 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ]
713
MAXCUT
9
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 1, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 1, 1, ...
[ [ 4, 0.5, 0.5, 0.0714285714, 0.6666666667, 0.1116127824, 0.3261572871, 0, 0.2583333333, 0.0916666667, 0.1408854167, 0.1076909722, 0.1174739583, 0.1105137804, 0.1125094356, 0.1110072722, 0.1114246843, 0.111092745, 0.1111827184, 0.1111076...
[ 2.9011714315 ]
[ 0.3274272895 ]
0.862779
13
[ 1, 1, 0, 0, 1, 1, 0, 0, 0 ]
714
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...
[ 3.3483910814 ]
[ -0.2652914816 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
715
MAXCUT
12
REG
[ [ 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1 ], [ 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0 ], [ 0, 1, 0, 0, 0, ...
[ [ 4, 0.3636363636, 0.1666666667, 0.0687878788, 0.5789473684, 0.0833333333, 0.2886751346, 0, 0.25, 0.03125, 0.140625, 0.05859375, 0.1069335938, 0.0714111328, 0.0939025879, 0.0773544312, 0.0883560181, 0.0802364349, 0.0858319998, 0.0816930...
[ 2.890033197 ]
[ 0.3598512365 ]
0.856151
18
[ 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
716
MAX_CLIQUE
15
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, ...
[ [ 6, 0.4285714286, 1, 0, 0.28, 0.0715573303, 0.3757688734, 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, 0.1...
[ 0.1198552734 ]
[ 2.5001616494 ]
1
7
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
717
MIS
16
ER
[ [ 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1 ], [ 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, ...
[ [ 9, 0.6, 0.6666666667, 0.0190060469, 0.7142857143, 0.0573564193, 0.2198798774, 0, 0.1020186604, 0.0505791375, 0.0592012759, 0.0557576077, 0.056463724, 0.0562083289, 0.0562665437, 0.0562464254, 0.0562513449, 0.0562496844, 0.0562501146, ...
[ 2.7006116883 ]
[ 0.4978997774 ]
1
4
[ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0 ]
718
MAXCUT
9
ER
[ [ 0, 1, 1, 1, 1, 0, 0, 0, 1 ], [ 1, 0, 0, 1, 1, 1, 0, 1, 1 ], [ 1, 0, 0, 1, 0, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 0, 0, 1, 0, 1 ], [ 1, 1, 0, 0, ...
[ [ 5, 0.625, 0.6, 0.056547619, 0.7272727273, 0.1331274711, 0.4170237457, 0, 0.22, 0.0968888889, 0.1630074074, 0.1252592593, 0.1468601481, 0.1342190222, 0.1416645035, 0.1372340829, 0.1398821568, 0.1382913964, 0.1392495004, 0.1386709446, ...
[ 0.2386763582 ]
[ 1.2491669462 ]
0.851615
13
[ 0, 1, 1, 1, 1, 0, 0, 0, 0 ]
719
MIS
12
REG
[ [ 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0 ], [ 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0 ], [ 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0 ], [ 0, 1, 0, 0, 0, ...
[ [ 4, 0.3636363636, 0.1666666667, 0.0588744589, 0.55, 0.0833333333, 0.2886751346, 0, 0.25, 0.03125, 0.15625, 0.044921875, 0.1220703125, 0.0577392578, 0.1057739258, 0.0669555664, 0.0968532562, 0.0730285645, 0.0916209221, 0.076895684, ...
[ 0.2817453484 ]
[ -0.4842264348 ]
1
5
[ 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1 ]
720
MIS
10
BA
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 1, 1, 1, 0, 0 ], [ ...
[ [ 9, 1, 0.3333333333, 0.4282407407, 1, 0.2071758181, 0.4994974365, 0, 0.3529100529, 0.1492063492, 0.2512701212, 0.1938704124, 0.2261688057, 0.207295979, 0.2184903557, 0.2117275612, 0.2158611381, 0.2133077924, 0.2148970552, 0.2139016124,...
[ 3.3361737817 ]
[ 0.5611148796 ]
1
5
[ 0, 1, 1, 0, 0, 0, 1, 1, 0, 1 ]
721
MIS
10
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 1, 0, 0 ], [ ...
[ [ 3, 0.3333333333, 0.6666666667, 0.0138888889, 0.5, 0.0812307158, 0.1759683545, 0, 0.2777777778, 0.0972222222, 0.1477623457, 0.0949035494, 0.1043903249, 0.0866319348, 0.0875621285, 0.0810738954, 0.0805497847, 0.0780237278, 0.0775022793, ...
[ 3.4165434558 ]
[ 0.4777597837 ]
1
3
[ 1, 0, 0, 1, 0, 0, 1, 0, 0, 0 ]
722
MAX_CLIQUE
17
REG
[ [ 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 0, 0, ...
[ [ 8, 0.5, 0.4642857143, 0.0372668651, 0.6666666667, 0.0606973234, 0.2312817299, 0, 0.1362599206, 0.0547233245, 0.0701657494, 0.0594399541, 0.062137191, 0.0603159194, 0.0608860461, 0.0605328167, 0.0606617196, 0.0605878755, 0.0606178235, ...
[ 2.9960931136 ]
[ -0.5801215556 ]
1
5
[ 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1 ]
723
MAX_CLIQUE
12
BA
[ [ 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0 ], [ 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1 ], [ 1, 0, 0, 0, 0, ...
[ [ 8, 0.7272727273, 0.3214285714, 0.2975757576, 0.7857142857, 0.1464354338, 0.4081282629, 0, 0.3293154762, 0.095610119, 0.1956534643, 0.1302358897, 0.1622314369, 0.1417254509, 0.152813842, 0.1456886622, 0.1498605539, 0.1471478816, 0.14883110...
[ 3.3094108888 ]
[ 0.5637844301 ]
1
4
[ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0 ]
724
MAXCUT
9
WS
[ [ 0, 1, 0, 1, 0, 0, 1, 0, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 0, 1, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 1, 0, ...
[ [ 4, 0.5, 0.5, 0.0416666667, 0.6666666667, 0.1098178026, 0.3530640678, 0, 0.225, 0.08125, 0.1388020833, 0.10109375, 0.1186635561, 0.1078119575, 0.1133129546, 0.1100317496, 0.1117845372, 0.1107570382, 0.1113243446, 0.1109941143, 0.11...
[ 3.3824129264 ]
[ 1.2425628065 ]
0.862539
13
[ 0, 1, 0, 1, 1, 0, 1, 0, 0 ]
725
MAX_CLIQUE
17
ER
[ [ 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0, ...
[ [ 5, 0.3125, 0.3, 0.0314880952, 0.5925925926, 0.0547590274, 0.2531521563, 0, 0.1488095238, 0.0261904762, 0.0815635039, 0.0429069429, 0.0649297159, 0.050155522, 0.0593118697, 0.0532348518, 0.0571334465, 0.0545504287, 0.0562329704, 0.0551...
[ 2.731158749 ]
[ 0.4938485757 ]
1
3
[ 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
726
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, ...
[ 1.3250016275 ]
[ 1.2883629409 ]
0.924379
4
[ 1, 1, 0, 0 ]
727
MIS
12
WS
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[ [ 5, 0.4545454545, 0.3, 0.1463636364, 0.6470588235, 0.1004553457, 0.3659041497, 0, 0.24, 0.07, 0.144825, 0.0897791667, 0.1190825625, 0.09743375, 0.1102390514, 0.1009581064, 0.1067770446, 0.1026470605, 0.1053218877, 0.1034534156, 0.1...
[ 0.2716629289 ]
[ -0.4880283074 ]
1
5
[ 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
728
MAXCUT
6
WS
[ [ 0, 1, 1, 1, 1, 0 ], [ 1, 0, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 0, 1 ], [ 1, 1, 1, 0, 0, 0 ], [ 0, 1, 1, 1, 0, 0 ] ]
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[ 2.9228421193 ]
[ 0.283236321 ]
0.898191
8
[ 0, 1, 1, 0, 0, 0 ]
729
MIS
7
WS
[ [ 0, 1, 1, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 1, 1, 0, 1, 1 ], [ 1, 0, 0, 0, ...
[ [ 5, 0.8333333333, 0.5, 0.1444444444, 0.8571428571, 0.1742333967, 0.4492181198, 0, 0.2666666667, 0.1333333333, 0.2040972222, 0.1638194444, 0.1872528935, 0.1734068287, 0.1816686005, 0.176703846, 0.1797020557, 0.177885073, 0.1789888949, 0...
[ 2.8648094206 ]
[ -0.4745632937 ]
1
2
[ 1, 0, 0, 0, 1, 0, 0 ]
730
MAXCUT
9
WS
[ [ 0, 1, 1, 0, 0, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, 0 ], [ 0, 0, 1, 1, ...
[ [ 5, 0.625, 0.3, 0.1547619048, 0.7272727273, 0.1355798844, 0.3980233209, 0, 0.2666666667, 0.0833333333, 0.1832638889, 0.1157986111, 0.1553909144, 0.1295782697, 0.1451946783, 0.1351802421, 0.1413290585, 0.137419695, 0.13983925, 0.1383085...
[ 2.9031317288 ]
[ 0.326459426 ]
0.861909
13
[ 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
731
MAX_CLIQUE
16
ER
[ [ 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1 ], [ 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, ...
[ [ 9, 0.6, 0.3333333333, 0.0933089133, 0.7142857143, 0.0838615631, 0.3165895469, 0, 0.1697530864, 0.0580967078, 0.1051762396, 0.0775401802, 0.0918769644, 0.0836749597, 0.0882006242, 0.0856050302, 0.0870811424, 0.0862257008, 0.0867218353, ...
[ 3.2824650335 ]
[ 0.5849090139 ]
1
4
[ 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 ]
732
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, ...
[ 2.8958631119 ]
[ 1.8532924358 ]
0.924379
4
[ 1, 1, 0, 0 ]
733
MAX_CLIQUE
9
ER
[ [ 0, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 0, 0, 1, 0, 1, 0, 0, 1 ], [ 0, 0, 1, 0, 1, 0, 0, 1, 0 ], [ 1, 1, 0, 1, ...
[ [ 3, 0.375, 0.6666666667, 0.0178571429, 0.5714285714, 0.0937988158, 0.3021556813, 0, 0.2333333333, 0.0592592593, 0.1303209877, 0.0773333333, 0.1070542661, 0.0858800549, 0.0995399033, 0.0899197223, 0.0964964157, 0.091847405, 0.0951103086, ...
[ 0.2307062754 ]
[ -0.514420154 ]
1
3
[ 1, 1, 0, 0, 1, 0, 0, 0, 0 ]
734
MAXCUT
10
REG
[ [ 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 1, 1, 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 0, 0, 1, 1 ], [ ...
[ [ 4, 0.4444444444, 0.3333333333, 0.0787037037, 0.6428571429, 0.1, 0.316227766, 0, 0.25, 0.0625, 0.140625, 0.087890625, 0.1123046875, 0.0959472656, 0.1038818359, 0.0986099243, 0.1012496948, 0.0995182991, 0.1004076004, 0.0998323858, 0...
[ 1.3265422231 ]
[ 0.3391412758 ]
0.900282
14
[ 1, 0, 1, 1, 0, 0, 0, 1, 0, 0 ]
735
MAXCUT
11
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1 ], [ 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, ...
[ [ 3, 0.3, 0.3333333333, 0.0625925926, 0.5263157895, 0.0725557699, 0.2056044464, 0, 0.2611111111, 0.0444444444, 0.1296188272, 0.0584112654, 0.0883361956, 0.0641948553, 0.0748729527, 0.0666012005, 0.0704203887, 0.0675707487, 0.0689352657, ...
[ 0.2368963895 ]
[ 1.2505515039 ]
0.850925
16
[ 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0 ]
736
MAX_CLIQUE
11
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, ...
[ [ 3, 0.3, 0.6666666667, 0.0222222222, 0.5, 0.0713115197, 0.2375022706, 0, 0.2333333333, 0.0666666667, 0.1219444444, 0.0738194444, 0.0866273148, 0.0721137153, 0.0747446663, 0.0702168174, 0.0705887725, 0.0691247005, 0.0690865811, 0.068595...
[ 3.3402618625 ]
[ 3.6699465462 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
737
MAXCUT
11
REG
[ [ 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0 ], [ 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0 ], [ 0, 0, 1, 0, 1, 0, 1, 1, ...
[ [ 4, 0.4, 0.3333333333, 0.0666666667, 0.625, 0.0909090909, 0.3015113446, 0, 0.25, 0.0625, 0.125, 0.083984375, 0.0986328125, 0.0892333984, 0.0927124023, 0.0904922485, 0.0913410187, 0.0908017159, 0.0910151005, 0.0908804834, 0.09093572...
[ 1.8190448151 ]
[ 1.2205429191 ]
0.875212
16
[ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0 ]
738
MAXCUT
9
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 0, 1 ], [ 0, 0, 1, 1, ...
[ [ 4, 0.5, 0.3333333333, 0.119047619, 0.6666666667, 0.1122665857, 0.3073640337, 0, 0.2708333333, 0.0729166667, 0.1514756944, 0.0965711806, 0.1235496238, 0.1054108796, 0.1154356177, 0.1088522603, 0.1127101797, 0.1102139176, 0.1117200793, ...
[ 0.238491659 ]
[ 1.2443246031 ]
0.861909
13
[ 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
739
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 ] ]
[ [ 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...
[ -0.2067569645 ]
[ 0.2653257535 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
740
MIS
6
BA
[ [ 0, 1, 1, 1, 1, 1 ], [ 1, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 1 ], [ 1, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0 ], [ 1, 0, 1, 1, 0, 0 ] ]
[ [ 5, 1, 0.4, 0.4666666667, 1, 0.2716939919, 0.5443774151, 0, 0.4666666667, 0.1777777778, 0.3362962963, 0.2449382716, 0.296526749, 0.2671495199, 0.2838203932, 0.2743464716, 0.2797272286, 0.2766704534, 0.2784068127, 0.2774204562, 0.27...
[ 0.310512242 ]
[ 2.6681390675 ]
0.867583
3
[ 0, 1, 1, 1, 0, 0 ]
741
MAXCUT
10
ER
[ [ 0, 1, 0, 1, 1, 0, 0, 1, 1, 0 ], [ 1, 0, 1, 0, 1, 1, 1, 1, 0, 1 ], [ 0, 1, 0, 1, 1, 1, 1, 0, 1, 1 ], [ 1, 0, 1, 0, 1, 1, 0, 0, 0, 0 ], [ ...
[ [ 5, 0.5555555556, 0.4, 0.0564814815, 0.6923076923, 0.0870154423, 0.2351704313, 0, 0.1852380952, 0.049047619, 0.1023177141, 0.0750678352, 0.0874281536, 0.0814399448, 0.0842489265, 0.0829019615, 0.0835404096, 0.0832350386, 0.0833803872, ...
[ 2.9587557172 ]
[ 1.85020567 ]
0.868046
20
[ 1, 0, 1, 0, 0, 1, 1, 0, 0, 0 ]
742
MAXCUT
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...
[ 2.9347884361 ]
[ 0.2652986631 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
743
MAXCUT
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...
[ 1.3640279224 ]
[ 1.8361263176 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
744
MIS
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, ...
[ 3.4464024479 ]
[ 0.4519812385 ]
1
4
[ 1, 0, 0, 0, 0, 1, 0, 1, 0, 1 ]
745
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, ...
[ 1.8165859863 ]
[ 1.8532022304 ]
0.924379
4
[ 1, 1, 0, 0 ]
746
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 0, 0 ], [ 1, 0, 0, 1 ], [ 1, 0, 1, 0 ] ]
[ [ 3, 1, 0.3333333333, 0.6666666667, 1, 0.3667352991, 0.6116286437, 0, 0.6666666667, 0.1666666667, 0.5277777778, 0.2638888889, 0.4560185185, 0.3159722222, 0.4180169753, 0.3436535494, 0.3978427212, 0.358354231, 0.3871300047, 0.3661607028,...
[ 2.8151515261 ]
[ 0.3293413997 ]
0.904498
3
[ 1, 0, 0, 0 ]
747
MAXCUT
16
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, ...
[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 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...
[ 3.3310804001 ]
[ 1.3187252399 ]
0.856915
24
[ 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
748
MAX_CLIQUE
17
REG
[ [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1 ], [ 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1 ], [ 0, 0, 0, 0, 0, 0, 0, 0, ...
[ [ 6, 0.375, 0.6666666667, 0.0100198413, 0.6153846154, 0.04473485, 0.1824122353, 0, 0.1076016576, 0.0334032634, 0.0498450807, 0.0412696632, 0.0437711552, 0.0425927218, 0.0429919801, 0.0428124589, 0.0428785642, 0.0428494844, 0.0428606974, ...
[ 3.2839485484 ]
[ 0.5949537196 ]
1
6
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0 ]
749
MIS
13
BA
[ [ 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0 ], [ 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0 ], [ 1, 1, ...
[ [ 9, 0.75, 0.1666666667, 0.4570707071, 0.8, 0.1899920711, 0.5333577692, 0, 0.3862433862, 0.0939153439, 0.2955369391, 0.1379851838, 0.2591039679, 0.1616144793, 0.239842239, 0.1759575505, 0.2280924424, 0.1852591273, 0.2204441332, 0.191466...
[ 3.3400027927 ]
[ 0.5673003828 ]
0.974882
7
[ 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0 ]
750
MAXCUT
7
WS
[ [ 0, 0, 1, 0, 1, 1, 1 ], [ 0, 0, 1, 1, 1, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0 ], [ 1, 1, 1, 1, 0, 1, 0 ], [ 1, 0, 0, 1, ...
[ [ 4, 0.6666666667, 0.5, 0.0777777778, 0.75, 0.1434875005, 0.3660722133, 0, 0.2583333333, 0.0916666667, 0.1736979167, 0.1268576389, 0.1519422743, 0.1378716363, 0.1456756004, 0.1412693414, 0.1437630943, 0.1423382783, 0.1431565228, 0.14268...
[ 3.3764622401 ]
[ 1.2587747286 ]
0.860706
10
[ 1, 1, 0, 1, 0, 0, 0 ]
751
MAX_CLIQUE
16
BA
[ [ 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1 ], [ 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, ...
[ [ 3, 0.2, 0.3333333333, 0.0468253968, 0.5172413793, 0.0532602882, 0.2433090852, 0, 0.1861111111, 0.0083333333, 0.1112866512, 0.0237152778, 0.0857596062, 0.0329405342, 0.0738029462, 0.0389673811, 0.0670935623, 0.0431512698, 0.0628850014, ...
[ 3.2667320776 ]
[ 0.7989383896 ]
1
3
[ 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
752
MAX_CLIQUE
16
ER
[ [ 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, ...
[ [ 7, 0.4666666667, 0.5238095238, 0.014739229, 0.652173913, 0.0477717071, 0.1681375541, 0, 0.1057220557, 0.0323457407, 0.0531129558, 0.0422657145, 0.0462164696, 0.0443623694, 0.0451088036, 0.0447748471, 0.0449150111, 0.0448535272, 0.04487980...
[ 2.9501746674 ]
[ 2.5906587739 ]
1
6
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0 ]
753
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, ...
[ 1.8165601096 ]
[ 0.2824365181 ]
0.924379
4
[ 1, 1, 0, 0 ]
754
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, ...
[ 3.387348961 ]
[ 2.8591543919 ]
0.924379
4
[ 1, 1, 0, 0 ]
755
MIS
11
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0, 0, ...
[ [ 4, 0.4, 1, 0, 0.3225806452, 0.0960364197, 0.4386822572, 0, 0.2375, 0.16875, 0.18140625, 0.17296875, 0.1717167969, 0.1682666016, 0.1663813721, 0.1638681152, 0.1621526303, 0.1600798741, 0.158544801, 0.1567606504, 0.1553789619, 0...
[ 2.8290864656 ]
[ 2.6915877887 ]
1
4
[ 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0 ]
756
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...
[ 1.3640083549 ]
[ 0.2653417425 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
757
MIS
17
REG
[ [ 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ], [ 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ], [ 0, 1, 0, 0, 1, 0, 0, 1, ...
[ [ 5, 0.3125, 0.3, 0.0133333333, 0.5714285714, 0.0423172653, 0.1642588269, 0, 0.1273809524, 0.0136904762, 0.0629405009, 0.0295616359, 0.0468094291, 0.0360599955, 0.0419916182, 0.0384193428, 0.0404523196, 0.0392461147, 0.0399430656, 0.039...
[ 3.2968219733 ]
[ 0.5768412827 ]
1
6
[ 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0 ]
758
MAX_CLIQUE
15
REG
[ [ 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, ...
[ [ 4, 0.2857142857, 0.1666666667, 0.076007326, 0.5384615385, 0.0666666667, 0.2581988897, 0, 0.25, 0.03125, 0.125, 0.048828125, 0.091796875, 0.0562744141, 0.079498291, 0.0600891113, 0.0738677979, 0.0623726845, 0.0709431171, 0.0638371706, ...
[ 3.0117477886 ]
[ -0.579987101 ]
1
3
[ 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
759
MIS
6
WS
[ [ 0, 1, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 1 ], [ 1, 1, 0, 1, 1, 0 ], [ 0, 1, 1, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 1 ], [ 1, 1, 0, 1, 1, 0 ] ]
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[ 3.4248868747 ]
[ 0.4637218427 ]
1
2
[ 1, 0, 0, 1, 0, 0 ]
760
MAXCUT
8
WS
[ [ 0, 1, 1, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 1 ], [ 0, 0, 1, 1, 0, 1, 1, 0 ]...
[ [ 4, 0.5714285714, 0.3333333333, 0.119047619, 0.7, 0.126227734, 0.3266694914, 0, 0.2708333333, 0.0729166667, 0.1592881944, 0.1095920139, 0.1339662905, 0.1206479673, 0.1274317386, 0.1237762602, 0.1256714317, 0.1246546821, 0.1251876858, 0...
[ 3.3780363838 ]
[ 1.251142991 ]
0.900072
11
[ 1, 0, 0, 1, 1, 0, 0, 0 ]
761
MAXCUT
6
ER
[ [ 0, 0, 0, 1, 1, 1 ], [ 0, 0, 0, 1, 1, 0 ], [ 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 0, 1, 0 ], [ 1, 1, 0, 1, 0, 1 ], [ 1, 0, 1, 0, 1, 0 ] ]
[ [ 3, 0.6, 0.6666666667, 0.1, 0.7142857143, 0.1815947323, 0.4649388033, 0, 0.3055555556, 0.1111111111, 0.2380401235, 0.1535493827, 0.2106427898, 0.1715534979, 0.1986020168, 0.1797114638, 0.1930025464, 0.1835924063, 0.1902876858, 0.185504...
[ 0.2861795246 ]
[ -0.3241116243 ]
0.861836
6
[ 1, 1, 1, 0, 0, 0 ]
762
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, ...
[ 1.3250435895 ]
[ 1.2883750374 ]
0.924379
4
[ 1, 1, 0, 0 ]
763
MAXCUT
9
REG
[ [ 0, 1, 0, 0, 1, 0, 0, 1, 1 ], [ 1, 0, 0, 1, 0, 0, 1, 0, 1 ], [ 0, 0, 0, 1, 0, 1, 1, 1, 0 ], [ 0, 1, 1, 0, 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, ...
[ [ 4, 0.5, 0.5, 0.0535714286, 0.6666666667, 0.1111111111, 0.3333333333, 0, 0.25, 0.09375, 0.140625, 0.107421875, 0.1181640625, 0.1102294922, 0.1128540039, 0.1108932495, 0.1115455627, 0.1110568047, 0.1112196445, 0.1110975444, 0.111138...
[ 1.3314434846 ]
[ 0.3261563535 ]
0.934543
12
[ 0, 1, 1, 0, 1, 0, 0, 0, 0 ]
764
MAXCUT
6
ER
[ [ 0, 1, 1, 1, 0, 1 ], [ 1, 0, 1, 0, 1, 1 ], [ 1, 1, 0, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0 ], [ 0, 1, 0, 1, 0, 0 ], [ 1, 1, 0, 0, 0, 0 ] ]
[ [ 4, 0.8, 0.3333333333, 0.3, 0.8333333333, 0.2404599881, 0.5344235678, 0, 0.4375, 0.125, 0.33984375, 0.1875, 0.2946777344, 0.2182617188, 0.2728118896, 0.233581543, 0.2618932724, 0.2413578033, 0.2563070655, 0.2453827858, 0.2533909939...
[ 1.2661961657 ]
[ 0.3463802597 ]
0.88381
6
[ 1, 1, 0, 0, 0, 0 ]
765
MIS
14
ER
[ [ 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1 ], [ 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1 ], ...
[ [ 5, 0.3846153846, 0.4, 0.0196581197, 0.5909090909, 0.0517042979, 0.1469616675, 0, 0.146031746, 0.0346182918, 0.0662855783, 0.0425970777, 0.0515476188, 0.0456784367, 0.0482641295, 0.046715489, 0.0474576778, 0.0470363973, 0.047247798, 0....
[ 3.2968063169 ]
[ 0.5711887958 ]
1
4
[ 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
766
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, ...
[ 1.8165512893 ]
[ 0.2824435026 ]
0.924379
4
[ 1, 1, 0, 0 ]
767
MAXCUT
9
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 1, 0, 1, 0 ], [ 0, 0, 1, 1, ...
[ [ 4, 0.5, 0.3333333333, 0.0714285714, 0.6666666667, 0.1123781013, 0.3033145855, 0, 0.2708333333, 0.0729166667, 0.1609375, 0.0942274306, 0.1285970052, 0.1036778429, 0.1175979501, 0.107922725, 0.1135946226, 0.1097720582, 0.112080271, 0.11...
[ 2.9011884784 ]
[ 0.32743637 ]
0.862779
13
[ 1, 0, 0, 1, 0, 0, 1, 0, 0 ]
768
MAXCUT
7
ER
[ [ 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, ...
[ 1.7321597639 ]
[ 1.3296463839 ]
0.986463
12
[ 1, 1, 1, 0, 0, 0, 0 ]
769
MAX_CLIQUE
10
ER
[ [ 0, 1, 0, 0, 1, 1, 0, 0, 0, 1 ], [ 1, 0, 0, 1, 1, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ], [ 0, 1, 1, 0, 1, 0, 1, 0, 1, 0 ], [ ...
[ [ 4, 0.4444444444, 0.6666666667, 0.0240740741, 0.6428571429, 0.097815023, 0.3486630894, 0, 0.2125, 0.09, 0.1157291667, 0.0990763889, 0.1023787616, 0.0998450201, 0.1004330014, 0.0999239307, 0.1001137663, 0.0999532205, 0.1000450339, 0.099...
[ 3.3647045544 ]
[ 0.5151086864 ]
1
3
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ]
770
MAX_CLIQUE
11
REG
[ [ 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1 ], [ 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0 ], [ 0, 0, 0, 0, 0, 1, 1, 0, ...
[ [ 4, 0.4, 0.3333333333, 0.0211111111, 0.5882352941, 0.0697552912, 0.2247447331, 0, 0.1729166667, 0.0229166667, 0.09942667, 0.0465184772, 0.0805039394, 0.0574882272, 0.0728788861, 0.0624879868, 0.069488396, 0.0647631332, 0.0679518568, 0....
[ 2.9125643565 ]
[ 2.6272180728 ]
1
4
[ 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1 ]
771
MAXCUT
6
ER
[ [ 0, 1, 0, 1, 1, 1 ], [ 1, 0, 1, 1, 0, 1 ], [ 0, 1, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 1 ], [ 1, 1, 1, 0, 1, 0 ] ]
[ [ 4, 0.8, 0.5, 0.1166666667, 0.8333333333, 0.1805746215, 0.4265480065, 0, 0.2916666667, 0.1145833333, 0.2230902778, 0.1564670139, 0.1973922164, 0.1722502532, 0.1876962921, 0.1782069265, 0.1840367808, 0.1804551705, 0.182655557, 0.1813037...
[ 2.8993636085 ]
[ 0.3097456994 ]
0.85136
8
[ 1, 0, 1, 0, 0, 0 ]
772
MAX_CLIQUE
11
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0, 0, ...
[ [ 4, 0.4, 1, 0, 0.3225806452, 0.0960364197, 0.4386822572, 0, 0.2375, 0.16875, 0.18140625, 0.17296875, 0.1717167969, 0.1682666016, 0.1663813721, 0.1638681152, 0.1621526303, 0.1600798741, 0.158544801, 0.1567606504, 0.1553789619, 0...
[ 3.308825152 ]
[ 0.5563972833 ]
1
5
[ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
773
MAX_CLIQUE
11
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 1, 0, 1, 0, 0, 0, ...
[ [ 4, 0.4, 1, 0, 0.3225806452, 0.0960364197, 0.4386822572, 0, 0.2375, 0.16875, 0.18140625, 0.17296875, 0.1717167969, 0.1682666016, 0.1663813721, 0.1638681152, 0.1621526303, 0.1600798741, 0.158544801, 0.1567606504, 0.1553789619, 0...
[ 3.3088229597 ]
[ 0.556602987 ]
1
5
[ 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
774
MAX_CLIQUE
10
BA
[ [ 0, 1, 1, 1, 1, 0, 1, 1, 0, 0 ], [ 1, 0, 0, 0, 1, 0, 1, 0, 1, 0 ], [ 1, 0, 0, 0, 0, 1, 1, 0, 0, 1 ], [ 1, 0, 0, 0, 1, 1, 0, 0, 1, 1 ], [ ...
[ [ 6, 0.6666666667, 0.3333333333, 0.1696428571, 0.75, 0.1369757435, 0.4230438702, 0, 0.2416666667, 0.0944444444, 0.1826774691, 0.1160185185, 0.1640717164, 0.1271320945, 0.1550644138, 0.1335605539, 0.1500308935, 0.1373526043, 0.1470968093, ...
[ 3.3696178129 ]
[ 0.5120204744 ]
1
3
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0 ]
775
MAX_CLIQUE
7
LOLLIPOP
[ [ 0, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 0, 0, 0 ], [ 0, 0, 1, 0, 1, 0, 0 ], [ 0, 0, 0, 1, 0, 1, 0 ], [ 0, 0, 0, 0, ...
[ [ 2, 0.3333333333, 1, 0, 0.375, 0.1326849128, 0.4784211225, 0, 0.4166666667, 0.1666666667, 0.2708333333, 0.1944444444, 0.2204861111, 0.1909722222, 0.1969039352, 0.181712963, 0.1827618634, 0.1728636188, 0.173017337, 0.1656418789, 0.1...
[ 2.8639610804 ]
[ 2.6635996095 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0 ]
776
MAXCUT
6
ER
[ [ 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 ], [ ...
[ 4.5319229594 ]
[ 1.3187495306 ]
0.957688
9
[ 1, 1, 1, 0, 0, 0 ]
777
MIS
15
REG
[ [ 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1 ], [ 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1 ], [ 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, ...
[ [ 10, 0.7142857143, 0.6, 0.0486394558, 0.7777777778, 0.0777182604, 0.2895403759, 0, 0.1247691198, 0.0684016729, 0.0845571114, 0.0776712822, 0.0800770312, 0.0791049325, 0.0794697903, 0.0793250392, 0.0793809981, 0.0793588666, 0.0793675463, ...
[ 0.1381192942 ]
[ -0.592315233 ]
1
4
[ 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
778
MAXCUT
14
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], ...
[ [ 4, 0.3076923077, 0.5, 0.0762210012, 0.5, 0.0710412615, 0.2706250181, 0, 0.2375, 0.0875, 0.133125, 0.089140625, 0.0997076823, 0.0834928385, 0.0856070502, 0.0789840766, 0.0789642599, 0.0760500606, 0.0756123473, 0.0742388605, 0.07382...
[ 2.9043585873 ]
[ 1.8948422924 ]
0.869286
20
[ 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0 ]
779
MAX_CLIQUE
11
ER
[ [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1 ], [ 1, 1, 0, 0, 0, 1, 1, 1, ...
[ [ 6, 0.6, 0.4666666667, 0.1092592593, 0.7142857143, 0.1071015416, 0.3258459952, 0, 0.2333333333, 0.0907407407, 0.1311468254, 0.1035755438, 0.1124965084, 0.1061277116, 0.1084612853, 0.1068210512, 0.1074888573, 0.1070384119, 0.107237734, ...
[ 0.2174459338 ]
[ 2.6161901694 ]
1
4
[ 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0 ]
780
MAXCUT
6
REG
[ [ 0, 1, 0, 1, 1, 1 ], [ 1, 0, 1, 1, 0, 1 ], [ 0, 1, 0, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 0 ], [ 1, 0, 1, 1, 0, 1 ], [ 1, 1, 1, 0, 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...
[ 1.79869754 ]
[ 1.2721834495 ]
0.912525
8
[ 1, 0, 1, 0, 0, 0 ]
781
MIS
16
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, ...
[ [ 7, 0.4666666667, 1, 0, 0.2941176471, 0.0671055518, 0.3522407085, 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...
[ 3.3287544768 ]
[ 0.5144498666 ]
1
5
[ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
782
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...
[ 1.7986861205 ]
[ 1.2721781092 ]
0.912525
8
[ 0, 1, 1, 0, 0, 0 ]
783
MAX_CLIQUE
10
ER
[ [ 0, 1, 1, 1, 0, 0, 0, 1, 0, 0 ], [ 1, 0, 1, 1, 0, 0, 1, 0, 0, 0 ], [ 1, 1, 0, 0, 0, 1, 1, 0, 0, 1 ], [ 1, 1, 0, 0, 1, 1, 0, 0, 0, 1 ], [ ...
[ [ 4, 0.4444444444, 0.3333333333, 0.0555555556, 0.6428571429, 0.0983266904, 0.3397540529, 0, 0.2125, 0.05, 0.1428125, 0.0740625, 0.120155599, 0.0867643229, 0.1098451986, 0.0932999023, 0.1048736594, 0.0966203167, 0.1024294335, 0.098297997...
[ 3.3668186305 ]
[ 0.5110780095 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
784
MAX_CLIQUE
11
REG
[ [ 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ], [ 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1 ], [ 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ], [ 1, 0, 0, 0, 0, 0, 0, 1, ...
[ [ 4, 0.4, 0.5, 0.0444444444, 0.5882352941, 0.0909090909, 0.3015113446, 0, 0.25, 0.09375, 0.1328125, 0.09765625, 0.103515625, 0.0944824219, 0.0950012207, 0.0924453735, 0.092300415, 0.0915212631, 0.0913954973, 0.0911446214, 0.09108200...
[ 3.3426066191 ]
[ 0.5239505333 ]
1
3
[ 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0 ]
785
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, ...
[ -1.3250599262 ]
[ 1.8533056456 ]
0.924379
4
[ 1, 1, 0, 0 ]
786
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, ...
[ -0.1614185916 ]
[ 1.8119783839 ]
0.986463
12
[ 1, 1, 1, 0, 0, 0, 0 ]
787
MIS
15
REG
[ [ 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, ...
[ [ 4, 0.2857142857, 0.3333333333, 0.0941391941, 0.5, 0.0666666667, 0.2581988897, 0, 0.25, 0.0625, 0.140625, 0.078125, 0.1025390625, 0.0786132812, 0.0860900879, 0.0759811401, 0.0779533386, 0.0732774734, 0.0735132694, 0.0711674392, 0.0...
[ 2.859174936 ]
[ -0.4788182111 ]
1
5
[ 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0 ]
788
MAX_CLIQUE
14
REG
[ [ 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1 ], [ 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ], ...
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[ 2.9468394764 ]
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MAX_CLIQUE
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MAXCUT
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REG
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MIS
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MAXCUT
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REG
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MAXCUT
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REG
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MAXCUT
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MAX_CLIQUE
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WS
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MAX_CLIQUE
14
BA
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MAX_CLIQUE
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LOLLIPOP
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