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 |
|---|---|---|---|---|---|---|---|---|---|---|
29,900 | MIS | 17 | WS | [
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0.060... | [
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29,901 | MAXCUT | 5 | REG | [
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0.213755... | [
3.4163051967
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1.2564845971
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29,902 | MAX_CLIQUE | 10 | ER | [
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[
... | [
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0.107118268,
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... | [
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2.644656991
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29,903 | MAX_CLIQUE | 17 | LOLLIPOP | [
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0... | [
2.7856043372
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29,904 | MAXCUT | 7 | REG | [
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[
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0.1429461... | [
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] | [
1.8896897028
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29,905 | MAX_CLIQUE | 15 | BA | [
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29,906 | MIS | 16 | ER | [
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0.0364560425,
0... | [
3.3079191562
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1
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29,907 | MIS | 11 | ER | [
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[
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0.1000468815,
0.0999805148,
0.10000877,
0.09... | [
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29,908 | MAX_CLIQUE | 13 | BA | [
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[
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... | [
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[
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0.3333333333,... | [
3.2761913278
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29,909 | MAXCUT | 14 | ER | [
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... | [
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0.0615368874,
0.0615390... | [
3.0011701491
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29,910 | MAX_CLIQUE | 9 | WS | [
[
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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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... | [
[
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0.1114014011,
0.1121161092,
0.1112461636,
0.1114380884,
0.111166... | [
0.2769449121
] | [
-0.4891134181
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1,
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0
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29,911 | MAXCUT | 16 | LOLLIPOP | [
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[
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[
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0.1145357087,
0.1140521446... | [
3.3310347184
] | [
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29,912 | MIS | 15 | ER | [
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[
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... | [
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29,913 | MAXCUT | 10 | BA | [
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[
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[
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[
... | [
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0.2142687667,... | [
2.9046665841
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29,914 | MIS | 16 | WS | [
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[
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0.0532543734,
0.0511... | [
0.2769207166
] | [
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29,915 | MAXCUT | 4 | REG | [
[
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1
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[
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1
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[
1,
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0,
1
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[
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] | [
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... | [
1.8165474857
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1.8532471297
] | 0.924379 | 4 | [
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29,916 | MAXCUT | 6 | 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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] | [
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[
... | [
2.9611217913
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29,917 | MIS | 13 | LOLLIPOP | [
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[
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... | [
[
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0.1410958616,
0.14019... | [
0.2565227192
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2.6685372074
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29,918 | MAXCUT | 7 | ER | [
[
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1
],
[
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[
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29,919 | MIS | 8 | REG | [
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29,920 | MAXCUT | 5 | ER | [
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29,921 | MAXCUT | 12 | ER | [
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0.12... | [
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29,922 | MIS | 12 | LOLLIPOP | [
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29,923 | MAXCUT | 13 | ER | [
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0.065216... | [
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29,924 | MAX_CLIQUE | 10 | REG | [
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29,925 | MAX_CLIQUE | 16 | LOLLIPOP | [
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29,926 | MIS | 8 | WS | [
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29,927 | MIS | 5 | ER | [
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29,928 | MIS | 6 | ER | [
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29,929 | MIS | 11 | REG | [
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0... | [
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29,930 | MIS | 10 | REG | [
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0.13... | [
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29,931 | MAXCUT | 17 | ER | [
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29,932 | MAX_CLIQUE | 14 | REG | [
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29,933 | MAXCUT | 4 | REG | [
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29,934 | MAX_CLIQUE | 16 | LOLLIPOP | [
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29,935 | MAXCUT | 5 | WS | [
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[
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[
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0.200000000... | [
3.348379902
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29,936 | MAX_CLIQUE | 14 | ER | [
[
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0.079845832... | [
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1
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29,937 | MAX_CLIQUE | 10 | REG | [
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29,938 | MIS | 10 | REG | [
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[
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3.50872333
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29,939 | MAXCUT | 7 | WS | [
[
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1
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[
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[
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0.1426986754,
0.1429461... | [
2.9051720168
] | [
0.3189128549
] | 0.866716 | 10 | [
1,
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29,940 | MIS | 5 | REG | [
[
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[
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0.200000000... | [
0.2796264097
] | [
2.6920092125
] | 1 | 1 | [
1,
0,
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0
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29,941 | MAXCUT | 7 | REG | [
[
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[
1,
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0.1426986754,
0.1429461... | [
1.8072376902
] | [
-0.3189004797
] | 0.866716 | 10 | [
1,
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29,942 | MAX_CLIQUE | 15 | ER | [
[
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0.0... | [
3.2834942003
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29,943 | MAX_CLIQUE | 13 | REG | [
[
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[
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[
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0.07... | [
2.9843583259
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29,944 | MIS | 11 | BA | [
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29,945 | MAX_CLIQUE | 9 | WS | [
[
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[
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[
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0.13891... | [
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29,946 | MAXCUT | 4 | WS | [
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[
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[
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... | [
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] | 0.924379 | 4 | [
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29,947 | MAX_CLIQUE | 12 | REG | [
[
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[
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[
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0.10... | [
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29,948 | MAXCUT | 4 | REG | [
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[
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[
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] | 0.924379 | 4 | [
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29,949 | MAXCUT | 4 | ER | [
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[
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[
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[
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0.2... | [
2.8151568797
] | [
0.3293765058
] | 0.904498 | 3 | [
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29,950 | MAX_CLIQUE | 14 | LOLLIPOP | [
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[
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0.1265908551,... | [
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29,951 | MIS | 17 | WS | [
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[
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[
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0.07... | [
2.8668669189
] | [
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29,952 | MAXCUT | 4 | WS | [
[
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1
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[
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[
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[
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... | [
3.3873641323
] | [
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] | 0.924379 | 4 | [
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29,953 | MAXCUT | 9 | WS | [
[
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[
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[
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[
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0.11129995... | [
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] | [
1.2580426341
] | 0.851758 | 13 | [
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29,954 | MAXCUT | 5 | WS | [
[
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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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0.200000000... | [
0.206752586
] | [
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] | 0.984202 | 6 | [
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29,955 | MAX_CLIQUE | 12 | ER | [
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[
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[
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... | [
2.948552682
] | [
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29,956 | MAX_CLIQUE | 12 | REG | [
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[
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29,957 | MIS | 4 | WS | [
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[
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29,958 | MAXCUT | 5 | WS | [
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29,959 | MIS | 13 | WS | [
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29,960 | MIS | 12 | BA | [
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29,961 | MAXCUT | 4 | WS | [
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29,962 | MIS | 12 | WS | [
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29,963 | MIS | 12 | LOLLIPOP | [
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29,964 | MAXCUT | 6 | WS | [
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29,965 | MAX_CLIQUE | 10 | WS | [
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0.098... | [
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29,966 | MAX_CLIQUE | 15 | ER | [
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29,967 | MAXCUT | 5 | ER | [
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29,968 | MAX_CLIQUE | 14 | ER | [
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29,969 | MAX_CLIQUE | 15 | WS | [
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29,970 | MIS | 7 | WS | [
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0.1429461... | [
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29,971 | MIS | 11 | REG | [
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29,972 | MIS | 14 | ER | [
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29,973 | MAXCUT | 17 | ER | [
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29,974 | MAX_CLIQUE | 11 | LOLLIPOP | [
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29,975 | MAXCUT | 10 | WS | [
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29,976 | MAX_CLIQUE | 14 | WS | [
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29,977 | MAX_CLIQUE | 15 | REG | [
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29,978 | MAXCUT | 7 | ER | [
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29,979 | MAXCUT | 5 | ER | [
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29,980 | MAXCUT | 10 | WS | [
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29,981 | MAXCUT | 4 | REG | [
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29,982 | MAXCUT | 9 | WS | [
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29,983 | MAX_CLIQUE | 13 | ER | [
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29,984 | MAX_CLIQUE | 8 | LOLLIPOP | [
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29,985 | MAXCUT | 14 | LOLLIPOP | [
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29,986 | MAX_CLIQUE | 17 | ER | [
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29,987 | MIS | 15 | WS | [
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29,988 | MIS | 11 | LOLLIPOP | [
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29,989 | MIS | 12 | ER | [
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29,990 | MAXCUT | 8 | WS | [
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29,991 | MIS | 10 | REG | [
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29,992 | MAXCUT | 5 | WS | [
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29,993 | MAXCUT | 16 | ER | [
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0
] |
29,994 | MAXCUT | 12 | BA | [
[
0,
1,
1,
1,
0,
1,
1,
0,
1,
0,
0,
0
],
[
1,
0,
0,
1,
1,
0,
0,
0,
0,
1,
0,
0
],
[
1,
0,
0,
0,
1,
0,
1,
1,
0,
0,
1,
0
],
[
1,
1,
0,
0,
0,
... | [
[
6,
0.5454545455,
0.2,
0.3757575758,
0.6875,
0.142185361,
0.4369902502,
0,
0.3388888889,
0.1138888889,
0.2119583333,
0.1446882716,
0.1740299408,
0.1508941512,
0.1604083348,
0.1514325692,
0.1548485711,
0.1510020209,
0.1523598331,
0.1505... | [
0.2656739563
] | [
1.2240469672
] | 0.853319 | 15 | [
0,
1,
1,
0,
0,
1,
0,
1,
0,
0,
0,
0
] |
29,995 | 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
],
[
... | [
2.9610787092
] | [
0.251995476
] | 0.957688 | 9 | [
1,
1,
1,
0,
0,
0
] |
29,996 | MIS | 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,
0.0717948718,
0.4642857143,
0.0741986536,
0.2104109062,
0,
0.3,
0.10625,
0.16371875,
0.10775,
0.116535,
0.0966042969,
0.0956465327,
0.0873152198,
0.0850925011,
0.081143759,
0.0793548899,
0.0773034884,
0.07610... | [
3.4135653361
] | [
0.4832149151
] | 1 | 5 | [
0,
1,
0,
0,
1,
0,
0,
0,
1,
1,
0,
0,
1,
0
] |
29,997 | MAXCUT | 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,
1,
0,
0,
0,
0,
0
],
[
0,
1,
1,
0,
1,
1,
0,
0,
0,
0
],
[
... | [
[
4,
0.4444444444,
0.5,
0.0833333333,
0.6,
0.1,
0.316227766,
0,
0.25,
0.09375,
0.140625,
0.099609375,
0.1123046875,
0.0999755859,
0.1038208008,
0.0999984741,
0.1011924744,
0.0999999046,
0.1003725529,
0.099999994,
0.1001164168,
0... | [
2.9051320968
] | [
0.3189035425
] | 0.884404 | 14 | [
1,
1,
0,
0,
1,
0,
0,
1,
0,
0
] |
29,998 | 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... | [
3.3483872042
] | [
1.3054893254
] | 0.984202 | 6 | [
1,
1,
0,
0,
0
] |
29,999 | MIS | 16 | ER | [
[
0,
0,
0,
1,
1,
1,
1,
0,
1,
1,
0,
0,
1,
1,
0,
1
],
[
0,
0,
0,
0,
0,
1,
1,
1,
1,
1,
1,
1,
0,
1,
0,
1
],
[
0,
0,
0,
1,
1,
1,
1,
0,
1,
1,
... | [
[
9,
0.6,
0.6666666667,
0.0186432351,
0.7142857143,
0.0608175376,
0.2491757858,
0,
0.1043771044,
0.0561549842,
0.0647633244,
0.0603098999,
0.0612203259,
0.0607501123,
0.0608556645,
0.0608031855,
0.0608158863,
0.060809836,
0.0608114,
0.0... | [
3.0064312941
] | [
-0.5824895489
] | 1 | 4 | [
1,
1,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0
] |
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