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 |
|---|---|---|---|---|---|---|---|---|---|---|
29,800 | MAX_CLIQUE | 14 | LOLLIPOP | [
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... | [
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0.128767278,
0.1279630734,
0.1272994843,
0.1265908551,... | [
3.5937649171
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2.624152337
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29,801 | MAXCUT | 6 | WS | [
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[
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[
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0.1666870117,
0.16665... | [
3.3694599783
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] | 0.912525 | 8 | [
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29,802 | MAXCUT | 10 | WS | [
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1,
1
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[
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[
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[
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[
... | [
[
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0.1011924744,
0.0999999046,
0.1003725529,
0.099999994,
0.1001164168,
0... | [
1.8072491211
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1.2519013881
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1,
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0
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29,803 | MAX_CLIQUE | 10 | REG | [
[
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[
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[
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[
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[
... | [
[
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0.0982513428,
0.1012458801,
0.099401474,
0.1004035473,
0.09979707,
0.1001... | [
3.375123177
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0.504189706
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29,804 | MIS | 15 | WS | [
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[
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... | [
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... | [
3.4161254244
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29,805 | MIS | 13 | BA | [
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[
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... | [
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... | [
3.3373439407
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1,
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1,
0
] |
29,806 | MAXCUT | 5 | WS | [
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1,
1,
1
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[
1,
0,
1,
1,
1
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[
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1,
1
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[
1,
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1,
0,
1
],
[
1,
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] | [
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0.1999998093,
0.2000000477,
0.1999999881,
0.200000003,
0.1999999993,
0.200000000... | [
4.9191696146
] | [
-0.2652771229
] | 0.984202 | 6 | [
1,
1,
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0
] |
29,807 | MIS | 9 | WS | [
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1,
1
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[
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[
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[
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[
0,
0,
1,
1,
... | [
[
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0.1120062454,
0.1112396039,
0.1113824949,
0.1111532... | [
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2.6664907159
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1,
0,
0
] |
29,808 | MAX_CLIQUE | 11 | WS | [
[
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1
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[
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[
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[
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1,
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... | [
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0.5,
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0.625,
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0.24,
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0.1154703615,
0.1132188731,
0.1143404828,
0.1134519548,
0.1139123062,
... | [
2.9440381358
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0,
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0
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29,809 | MIS | 17 | LOLLIPOP | [
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[
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[
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1,
1,
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... | [
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0.4375,
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0... | [
3.330446538
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29,810 | MIS | 10 | LOLLIPOP | [
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1,
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[
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[
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[
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[
... | [
[
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... | [
3.4463910475
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29,811 | MAXCUT | 5 | ER | [
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[
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[
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[
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[
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] | [
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0.200000003,
0.1999999993,
0.200000000... | [
2.9348259039
] | [
1.8360490566
] | 0.984202 | 6 | [
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29,812 | MIS | 10 | LOLLIPOP | [
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[
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[
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[
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[
... | [
[
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... | [
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29,813 | MIS | 12 | ER | [
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[
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[
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... | [
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... | [
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29,814 | MAXCUT | 5 | ER | [
[
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1
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[
1,
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1,
1,
1
],
[
1,
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1
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[
1,
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0,
1
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[
1,
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] | [
[
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0.2000000477,
0.1999999881,
0.200000003,
0.1999999993,
0.200000000... | [
1.3640082347
] | [
0.2652938715
] | 0.984202 | 6 | [
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0
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29,815 | MIS | 7 | WS | [
[
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1,
1
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[
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1,
1,
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[
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[
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[
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0,
1,
1
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[
1,
0,
0,
1,
... | [
[
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0.5,
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0.1412658691,
0.1437511444,
0.1423549652,
0.1431392431,
0.1426986754,
0.1429461... | [
3.4249867024
] | [
0.4706202102
] | 1 | 2 | [
1,
0,
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1,
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0
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29,816 | MAX_CLIQUE | 17 | LOLLIPOP | [
[
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[
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[
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0.3522407083,
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0.1172696408,
0.1166892029,
0.1160531581,
0.1155413039,
0.1149954142,
0.1145357087,
0.1140521446,
0... | [
3.2467108809
] | [
0.63148527
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29,817 | MAXCUT | 15 | ER | [
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[
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[
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... | [
[
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0.0757587906,
0.0757573417,
0.075757699... | [
2.9938737149
] | [
0.2591060509
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29,818 | MAX_CLIQUE | 12 | WS | [
[
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1,
1,
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1,
1
],
[
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[
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[
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1,
1,
0,
1,
... | [
[
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0.2666666667,
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0.6875,
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0.1256915198,
0.1248219102,
0.125240373,
0.12497... | [
3.3144466101
] | [
0.5490039455
] | 1 | 3 | [
1,
1,
1,
0,
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0
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29,819 | MAX_CLIQUE | 16 | LOLLIPOP | [
[
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1,
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[
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[
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0.1160531581,
0.1155413039,
0.1149954142,
0.1145357087,
0.1140521446... | [
-0.1148447357
] | [
0.7964554907
] | 1 | 8 | [
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0
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29,820 | MAX_CLIQUE | 15 | WS | [
[
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[
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[
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[
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0.0706636868,
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... | [
0.4439186389
] | [
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29,821 | MAX_CLIQUE | 12 | WS | [
[
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1,
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[
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[
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[
1,
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[
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0.089261771,
0.0878940729,
0.086795... | [
0.6152566394
] | [
0.3941722866
] | 1 | 3 | [
1,
1,
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29,822 | MAX_CLIQUE | 13 | BA | [
[
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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[
1,
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... | [
[
3,
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0.0202020202,
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0.0650117031,
0.0745471047,
0.0664257932,
... | [
3.2835051846
] | [
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] | 1 | 3 | [
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29,823 | MAXCUT | 4 | BA | [
[
0,
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1
],
[
1,
0,
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[
1,
0,
0,
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[
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] | [
[
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0.358354231,
0.3871300047,
0.3661607028,... | [
2.8151012161
] | [
0.329316517
] | 0.904498 | 3 | [
1,
0,
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0
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29,824 | MAX_CLIQUE | 11 | REG | [
[
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[
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[
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[
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0.0800018311,
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0.0846672058,
0.0956721306,
0.0873084366,
... | [
2.941152902
] | [
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] | 1 | 3 | [
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29,825 | MAX_CLIQUE | 17 | BA | [
[
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[
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[
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[
13,
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0.1540434014,
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0.1544436508,
0.1550200208,
... | [
0.1132474048
] | [
2.5379142114
] | 1 | 4 | [
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29,826 | MIS | 16 | LOLLIPOP | [
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[
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[
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0.1145357087,
0.1140521446... | [
0.1871394735
] | [
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] | 1 | 5 | [
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29,827 | MIS | 10 | ER | [
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[
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[
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[
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0.05... | [
0.1963503486
] | [
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] | 1 | 4 | [
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29,828 | MAXCUT | 5 | ER | [
[
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1
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[
1,
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[
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[
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[
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] | [
[
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0.200000003,
0.1999999993,
0.200000000... | [
1.3640244908
] | [
1.8361012932
] | 0.984202 | 6 | [
1,
1,
0,
0,
0
] |
29,829 | MIS | 8 | WS | [
[
0,
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1,
0,
0,
0,
1,
1
],
[
1,
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[
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[
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[
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1,
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1,
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[
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0.1248307248,
0.1250927654,
0.1249530129,
0.1250... | [
3.419429492
] | [
0.4763598697
] | 1 | 3 | [
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1,
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] |
29,830 | MAXCUT | 8 | REG | [
[
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[
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[
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[
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[
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[
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0.1250093588,
0.1249954... | [
-0.205036392
] | [
1.8673378862
] | 0.850065 | 14 | [
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29,831 | MAXCUT | 5 | REG | [
[
0,
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1,
1
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[
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[
1,
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[
1,
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[
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] | [
[
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0.200000003,
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0.200000000... | [
2.9348314117
] | [
3.4068733103
] | 0.984202 | 6 | [
1,
1,
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] |
29,832 | MIS | 5 | ER | [
[
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1,
1
],
[
1,
0,
1,
1,
0
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[
0,
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[
1,
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0,
1
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[
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] | [
[
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0.2166494868,
0.2128497592,
0.2151583272,
0.213755... | [
0.3553222424
] | [
2.7005095143
] | 0.943555 | 2 | [
1,
0,
1,
0,
0
] |
29,833 | MAXCUT | 9 | WS | [
[
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1,
1,
0,
0,
0,
1,
1,
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],
[
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[
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[
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[
0,
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... | [
[
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0.5,
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0.318043151,
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0.1086707847,
0.1128141099,
0.1101715382,
0.1117427845,
0... | [
0.2396182647
] | [
1.2431378945
] | 0.862035 | 13 | [
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1,
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1,
0,
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] |
29,834 | MIS | 8 | REG | [
[
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1,
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1
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[
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[
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[
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[
1,
1,
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1,
0,
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]... | [
[
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0.1249806172,
0.1250093588,
0.1249954... | [
0.2395533468
] | [
-0.5247678912
] | 1 | 2 | [
1,
0,
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29,835 | MAXCUT | 14 | LOLLIPOP | [
[
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[
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[
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... | [
[
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0.4615384615,
1,
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0.1304506179,
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0.1279630734,
0.1272994843,
0.1265908551,... | [
2.9315756443
] | [
1.8357973572
] | 0.858996 | 19 | [
1,
1,
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1,
0,
1,
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1,
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1,
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] |
29,836 | MAX_CLIQUE | 15 | WS | [
[
0,
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1,
0,
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[
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[
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... | [
[
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0.5,
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0.0662973553,
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0,
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0.0805815587,
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0.0749926148,
0.0740296685,
0.071484435,
0.0706368869,
... | [
0.4454422691
] | [
0.4556789913
] | 1 | 3 | [
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] |
29,837 | MAX_CLIQUE | 15 | ER | [
[
0,
1,
1,
1,
0,
0,
0,
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[
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[
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29,838 | MAXCUT | 5 | REG | [
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1
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[
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[
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0.200000000... | [
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] | [
1.3054485467
] | 0.984202 | 6 | [
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29,839 | MAXCUT | 6 | WS | [
[
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1,
1
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[
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[
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[
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0.1666870117,
0.16665... | [
1.3429125613
] | [
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] | 0.912525 | 8 | [
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29,840 | MAX_CLIQUE | 10 | REG | [
[
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[
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[
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0... | [
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] | [
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29,841 | MAX_CLIQUE | 14 | WS | [
[
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... | [
3.2822023742
] | [
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29,842 | MAX_CLIQUE | 14 | LOLLIPOP | [
[
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0.1265908551,... | [
3.0111425502
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29,843 | MIS | 11 | ER | [
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... | [
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] | [
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29,844 | MAX_CLIQUE | 12 | LOLLIPOP | [
[
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0.1... | [
3.2958099508
] | [
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29,845 | MAX_CLIQUE | 15 | ER | [
[
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0.03419214... | [
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29,846 | MIS | 8 | LOLLIPOP | [
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[
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[
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0.1703004328,... | [
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29,847 | MAXCUT | 14 | ER | [
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0.07758714... | [
2.9865319744
] | [
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] | 0.859721 | 38 | [
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29,848 | MAX_CLIQUE | 13 | BA | [
[
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[
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29,849 | MAX_CLIQUE | 8 | BA | [
[
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[
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[
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0.... | [
3.3949129578
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29,850 | MIS | 10 | WS | [
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29,851 | MAXCUT | 16 | ER | [
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[
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0.0500316562,
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0.0500053... | [
2.9886684468
] | [
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] | 0.855159 | 46 | [
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29,852 | MAXCUT | 5 | WS | [
[
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1
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[
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[
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[
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0.200000000... | [
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] | [
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] | 0.984202 | 6 | [
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29,853 | MAXCUT | 16 | ER | [
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[
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[
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[
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0.069622875,
0.0696194656,
0.06962054... | [
3.2800667005
] | [
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] | 0.856508 | 51 | [
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29,854 | MAXCUT | 14 | WS | [
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0.... | [
0.2381916695
] | [
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] | 0.870001 | 20 | [
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29,855 | MAX_CLIQUE | 9 | BA | [
[
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[
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29,856 | MIS | 10 | WS | [
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3.4249933641
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29,857 | MIS | 8 | BA | [
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[
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[
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0.129906... | [
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29,858 | MAX_CLIQUE | 6 | LOLLIPOP | [
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[
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0.17... | [
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] | [
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] | 0.853888 | 3 | [
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29,859 | MAX_CLIQUE | 6 | LOLLIPOP | [
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[
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0.17... | [
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] | [
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] | 0.853888 | 3 | [
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29,860 | MIS | 11 | ER | [
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0.1249467568... | [
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29,861 | MAXCUT | 7 | REG | [
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0.1429461... | [
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] | [
1.2518942379
] | 0.866716 | 10 | [
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29,862 | MAX_CLIQUE | 13 | LOLLIPOP | [
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0.14019... | [
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29,863 | MIS | 13 | REG | [
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0.0... | [
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29,864 | MIS | 5 | WS | [
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[
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0.200000000... | [
2.8619554982
] | [
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29,865 | MAX_CLIQUE | 6 | BA | [
[
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[
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[
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[
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29,866 | MAXCUT | 11 | REG | [
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0.091295... | [
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] | [
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] | 0.865047 | 16 | [
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29,867 | MAXCUT | 9 | WS | [
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[
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[
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[
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0.0836190597,
... | [
0.2418945266
] | [
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] | 0.863204 | 13 | [
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29,868 | MAXCUT | 12 | ER | [
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[
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[
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[
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0.0975652251,
... | [
3.3087922789
] | [
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] | 0.861784 | 27 | [
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29,869 | MAX_CLIQUE | 6 | BA | [
[
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[
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[
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0.7071064011,
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0.2864513022
] | [
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29,870 | MAX_CLIQUE | 14 | BA | [
[
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[
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0.1713484822,... | [
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] | [
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29,871 | MIS | 17 | WS | [
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[
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... | [
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29,872 | MAXCUT | 13 | WS | [
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[
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[
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0.0812849998,
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0.0792810619,
0.07872542... | [
1.3343567353
] | [
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] | 0.894231 | 18 | [
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29,873 | MIS | 14 | WS | [
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... | [
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29,874 | MAXCUT | 7 | REG | [
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29,875 | MAXCUT | 6 | ER | [
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29,876 | MIS | 11 | ER | [
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0.071... | [
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29,877 | MIS | 11 | ER | [
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29,878 | MIS | 16 | LOLLIPOP | [
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0.1140521446... | [
3.3287664773
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29,879 | MAX_CLIQUE | 7 | ER | [
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0.66... | [
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29,880 | MIS | 15 | ER | [
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0.0751460... | [
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29,881 | MAXCUT | 11 | WS | [
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0.0910248... | [
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29,882 | MAX_CLIQUE | 8 | BA | [
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0.2467... | [
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29,883 | MIS | 17 | REG | [
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0.061... | [
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29,884 | MIS | 9 | BA | [
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0.21230683... | [
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29,885 | MAXCUT | 10 | ER | [
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29,886 | MAX_CLIQUE | 15 | LOLLIPOP | [
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0.1... | [
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29,887 | MAX_CLIQUE | 9 | ER | [
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0.14263... | [
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29,888 | MAXCUT | 6 | REG | [
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29,889 | MAXCUT | 15 | ER | [
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0.0692318... | [
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29,890 | MIS | 13 | WS | [
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0.07872542... | [
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29,891 | MAX_CLIQUE | 17 | ER | [
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1,
0,
1,
0,
0,
0
] |
29,892 | 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,... | [
2.9315021092
] | [
1.8357115986
] | 0.858996 | 19 | [
1,
1,
0,
0,
0,
0,
1,
0,
1,
0,
1,
0,
1,
0
] |
29,893 | MIS | 10 | ER | [
[
0,
0,
0,
0,
0,
1,
0,
1,
0,
1
],
[
0,
0,
0,
0,
1,
1,
1,
0,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
1,
1,
1
],
[
0,
0,
0,
0,
0,
0,
0,
0,
1,
1
],
[
... | [
[
3,
0.3333333333,
0.6666666667,
0.0055555556,
0.6,
0.0650950566,
0.1953011623,
0,
0.1587301587,
0.0343915344,
0.0780927186,
0.0523469388,
0.0646263362,
0.0575521384,
0.0614598062,
0.0591530101,
0.0605107582,
0.0596931303,
0.0601866922,
... | [
3.3473358595
] | [
0.5346379289
] | 1 | 4 | [
1,
1,
1,
1,
0,
0,
0,
0,
0,
0
] |
29,894 | MAX_CLIQUE | 17 | BA | [
[
0,
1,
1,
1,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
0,
1,
1,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0
],
[
1,
0,
0,
1,
1,
1,
0,
0,
... | [
[
4,
0.25,
0.3333333333,
0.0755555556,
0.5161290323,
0.0648701222,
0.2827050954,
0,
0.2479166667,
0.0604166667,
0.1306545139,
0.0646974826,
0.095566169,
0.0634163733,
0.0815143647,
0.0630820177,
0.0749618727,
0.0635215818,
0.0715882646,
... | [
-0.1051856045
] | [
0.6083431982
] | 1 | 3 | [
1,
0,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
29,895 | 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... | [
2.9521355065
] | [
1.8228037064
] | 0.856915 | 24 | [
1,
1,
1,
1,
0,
0,
0,
0,
1,
0,
1,
0,
1,
0,
1,
0
] |
29,896 | MIS | 17 | REG | [
[
0,
1,
1,
0,
1,
0,
1,
1,
1,
0,
0,
1,
0,
0,
1,
0,
0
],
[
1,
0,
1,
1,
1,
1,
1,
0,
1,
1,
1,
1,
0,
0,
1,
0,
1
],
[
1,
1,
0,
0,
0,
0,
0,
1,
... | [
[
8,
0.5,
0.5714285714,
0.0241071429,
0.6666666667,
0.0585077519,
0.2406589595,
0,
0.1239087302,
0.050978836,
0.0667843646,
0.0569085721,
0.0602059571,
0.0583434185,
0.0591082268,
0.0587066925,
0.0588866365,
0.0587955585,
0.0588379705,
... | [
2.6367791425
] | [
0.4688263047
] | 0.916849 | 6 | [
0,
0,
0,
1,
1,
0,
1,
1,
0,
0,
0,
0,
0,
1,
0,
1,
0
] |
29,897 | MIS | 10 | ER | [
[
0,
1,
1,
1,
0,
0,
1,
0,
0,
1
],
[
1,
0,
0,
1,
1,
1,
1,
1,
1,
1
],
[
1,
0,
0,
0,
0,
0,
1,
0,
0,
1
],
[
1,
1,
0,
0,
0,
1,
0,
0,
1,
1
],
[
... | [
[
5,
0.5555555556,
0.6,
0.0356481481,
0.6923076923,
0.0970801811,
0.2998015605,
0,
0.1935714286,
0.0781746032,
0.1119338435,
0.0915415808,
0.0993457401,
0.0949072969,
0.0969013739,
0.0958112623,
0.0963455368,
0.0960586357,
0.0962055508,
... | [
3.3492717981
] | [
0.5314076602
] | 1 | 3 | [
0,
0,
1,
1,
1,
0,
0,
0,
0,
0
] |
29,898 | MIS | 17 | REG | [
[
0,
0,
1,
0,
0,
0,
1,
1,
0,
0,
1,
1,
0,
0,
0,
0,
0
],
[
0,
0,
1,
0,
0,
1,
0,
1,
0,
0,
0,
0,
0,
0,
1,
1,
1
],
[
1,
1,
0,
1,
1,
0,
1,
1,
... | [
[
5,
0.3125,
0.6,
0.0056349206,
0.5925925926,
0.0374491462,
0.1545868189,
0,
0.098970474,
0.0209048527,
0.0419896507,
0.0317340808,
0.035447683,
0.0337909267,
0.0344539746,
0.0341625696,
0.0342842179,
0.0342308225,
0.0342535897,
0.03424... | [
2.6459880633
] | [
0.4733936569
] | 1 | 5 | [
1,
1,
0,
1,
1,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0
] |
29,899 | 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,... | [
2.9315500018
] | [
1.8357724935
] | 0.858996 | 19 | [
1,
1,
0,
0,
0,
0,
1,
0,
1,
0,
1,
0,
1,
0
] |
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