task_id stringlengths 23 52 | subset stringclasses 1
value | family stringclasses 80
values | problem_key stringclasses 75
values | domain stringclasses 8
values | tier stringclasses 2
values | level stringclasses 6
values | source stringclasses 80
values | license stringclasses 3
values | tags listlengths 0 4 | prompt stringlengths 308 37k | instance stringlengths 56 37.8k | direction null | baseline null | best_known null | reference_answer stringlengths 8 198k | reference_reward float64 1 1 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
construct-nppc-quad-diophantine-l6-s6 | construct | nppc_quad_diophantine | quadratic_diophantine_ax2_by_c | number_theory | competition | 6 | NPPC/quad_diop_equ | MIT | [
"agentic_trivial",
"np_search"
] | Find positive integers x and y (x >= 1, y >= 1) such that
7705139195 * x^2 + 2778365384 * y = 709528365362096612891392679019
Answer format: {"x": <integer>, "y": <integer>} (JSON integers, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. On... | {"a": 7705139195, "b": 2778365384, "c": 709528365362096612891392679019, "family": "nppc_quad_diophantine", "subset": "construct"} | null | null | null | {"x": 9596097165, "y": 5162045391} | 1 |
construct-nppc-quad-diophantine-l6-s7 | construct | nppc_quad_diophantine | quadratic_diophantine_ax2_by_c | number_theory | competition | 6 | NPPC/quad_diop_equ | MIT | [
"agentic_trivial",
"np_search"
] | Find positive integers x and y (x >= 1, y >= 1) such that
8499667983 * x^2 + 7980065863 * y = 148468647729573796485120421324
Answer format: {"x": <integer>, "y": <integer>} (JSON integers, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. On... | {"a": 8499667983, "b": 7980065863, "c": 148468647729573796485120421324, "family": "nppc_quad_diophantine", "subset": "construct"} | null | null | null | {"x": 4179423648, "y": 1670742484} | 1 |
construct-nppc-quad-diophantine-l6-s8 | construct | nppc_quad_diophantine | quadratic_diophantine_ax2_by_c | number_theory | competition | 6 | NPPC/quad_diop_equ | MIT | [
"agentic_trivial",
"np_search"
] | Find positive integers x and y (x >= 1, y >= 1) such that
6146000422 * x^2 + 1960459692 * y = 251173296283535903833923124060
Answer format: {"x": <integer>, "y": <integer>} (JSON integers, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. On... | {"a": 6146000422, "b": 1960459692, "c": 251173296283535903833923124060, "family": "nppc_quad_diophantine", "subset": "construct"} | null | null | null | {"x": 6392790020, "y": 9924865405} | 1 |
construct-nppc-quad-diophantine-l6-s9 | construct | nppc_quad_diophantine | quadratic_diophantine_ax2_by_c | number_theory | competition | 6 | NPPC/quad_diop_equ | MIT | [
"agentic_trivial",
"np_search"
] | Find positive integers x and y (x >= 1, y >= 1) such that
8710231508 * x^2 + 3870768249 * y = 5236256626610643773153378280
Answer format: {"x": <integer>, "y": <integer>} (JSON integers, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only... | {"a": 8710231508, "b": 3870768249, "c": 5236256626610643773153378280, "family": "nppc_quad_diophantine", "subset": "construct"} | null | null | null | {"x": 775346109, "y": 3863733268} | 1 |
construct-nppc-quadratic-congruence-l1-s0 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 80 such that
x^2 = 0 (mod 16).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 0, "b": 16, "c": 80, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 36} | 1 |
construct-nppc-quadratic-congruence-l1-s1 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 137 such that
x^2 = 9 (mod 18).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 9, "b": 18, "c": 137, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 69} | 1 |
construct-nppc-quadratic-congruence-l1-s2 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 93 such that
x^2 = 43 (mod 78).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 43, "b": 78, "c": 93, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 11} | 1 |
construct-nppc-quadratic-congruence-l1-s3 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 78 such that
x^2 = 9 (mod 28).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 9, "b": 28, "c": 78, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 39} | 1 |
construct-nppc-quadratic-congruence-l1-s4 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 129 such that
x^2 = 0 (mod 81).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 0, "b": 81, "c": 129, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 36} | 1 |
construct-nppc-quadratic-congruence-l1-s5 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 53 such that
x^2 = 36 (mod 60).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 36, "b": 60, "c": 53, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 36} | 1 |
construct-nppc-quadratic-congruence-l1-s6 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 169 such that
x^2 = 14 (mod 26).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 14, "b": 26, "c": 169, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 90} | 1 |
construct-nppc-quadratic-congruence-l1-s7 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 90 such that
x^2 = 9 (mod 27).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 9, "b": 27, "c": 90, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 57} | 1 |
construct-nppc-quadratic-congruence-l1-s8 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 92 such that
x^2 = 19 (mod 54).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 19, "b": 54, "c": 92, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 71} | 1 |
construct-nppc-quadratic-congruence-l1-s9 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 1 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 65 such that
x^2 = 49 (mod 66).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 49, "b": 66, "c": 65, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 59} | 1 |
construct-nppc-quadratic-congruence-l2-s0 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 13428 such that
x^2 = 3645 (mod 9801).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 3645, "b": 9801, "c": 13428, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 3474} | 1 |
construct-nppc-quadratic-congruence-l2-s1 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 10179 such that
x^2 = 768 (mod 2272).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 768, "b": 2272, "c": 10179, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 2720} | 1 |
construct-nppc-quadratic-congruence-l2-s2 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 8869 such that
x^2 = 3721 (mod 5794).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 3721, "b": 5794, "c": 8869, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 5733} | 1 |
construct-nppc-quadratic-congruence-l2-s3 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 7075 such that
x^2 = 2401 (mod 9336).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 2401, "b": 9336, "c": 7075, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 4619} | 1 |
construct-nppc-quadratic-congruence-l2-s4 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 13114 such that
x^2 = 0 (mod 147).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 0, "b": 147, "c": 13114, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 6174} | 1 |
construct-nppc-quadratic-congruence-l2-s5 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 14318 such that
x^2 = 2066 (mod 8890).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 2066, "b": 8890, "c": 14318, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 7174} | 1 |
construct-nppc-quadratic-congruence-l2-s6 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 14113 such that
x^2 = 5314 (mod 5481).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 5314, "b": 5481, "c": 14113, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 5069} | 1 |
construct-nppc-quadratic-congruence-l2-s7 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 11336 such that
x^2 = 1689 (mod 6784).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 1689, "b": 6784, "c": 11336, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 1349} | 1 |
construct-nppc-quadratic-congruence-l2-s8 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 11811 such that
x^2 = 2586 (mod 5709).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 2586, "b": 5709, "c": 11811, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 9063} | 1 |
construct-nppc-quadratic-congruence-l2-s9 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 2 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 4167 such that
x^2 = 193 (mod 236).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 193, "b": 236, "c": 4167, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 1235} | 1 |
construct-nppc-quadratic-congruence-l3-s0 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 72117 such that
x^2 = 33461 (mod 72460).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 33461, "b": 72460, "c": 72117, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 25451} | 1 |
construct-nppc-quadratic-congruence-l3-s1 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 125582 such that
x^2 = 10210 (mod 16122).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 10210, "b": 16122, "c": 125582, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 78620} | 1 |
construct-nppc-quadratic-congruence-l3-s2 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 91967 such that
x^2 = 12614 (mod 79129).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 12614, "b": 79129, "c": 91967, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 40704} | 1 |
construct-nppc-quadratic-congruence-l3-s3 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 146500 such that
x^2 = 19969 (mod 32264).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 19969, "b": 32264, "c": 146500, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 54417} | 1 |
construct-nppc-quadratic-congruence-l3-s4 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 51944 such that
x^2 = 1700 (mod 3296).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 1700, "b": 3296, "c": 51944, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 42726} | 1 |
construct-nppc-quadratic-congruence-l3-s5 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 83779 such that
x^2 = 17712 (mod 30562).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 17712, "b": 30562, "c": 83779, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 34198} | 1 |
construct-nppc-quadratic-congruence-l3-s6 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 85990 such that
x^2 = 42453 (mod 88308).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 42453, "b": 88308, "c": 85990, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 2253} | 1 |
construct-nppc-quadratic-congruence-l3-s7 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 86540 such that
x^2 = 3028 (mod 36891).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 3028, "b": 36891, "c": 86540, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 51608} | 1 |
construct-nppc-quadratic-congruence-l3-s8 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 79208 such that
x^2 = 467 (mod 13759).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 467, "b": 13759, "c": 79208, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 39573} | 1 |
construct-nppc-quadratic-congruence-l3-s9 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 3 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 118922 such that
x^2 = 19175 (mod 63670).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 19175, "b": 63670, "c": 118922, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 76915} | 1 |
construct-nppc-quadratic-congruence-l4-s0 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 4023914 such that
x^2 = 911497 (mod 1519936).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acce... | {"a": 911497, "b": 1519936, "c": 4023914, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 2087197} | 1 |
construct-nppc-quadratic-congruence-l4-s1 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 3939792 such that
x^2 = 981576 (mod 2211006).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acce... | {"a": 981576, "b": 2211006, "c": 3939792, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 1909356} | 1 |
construct-nppc-quadratic-congruence-l4-s2 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 1205599 such that
x^2 = 258849 (mod 1591306).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acce... | {"a": 258849, "b": 1591306, "c": 1205599, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 308821} | 1 |
construct-nppc-quadratic-congruence-l4-s3 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 1413902 such that
x^2 = 614248 (mod 2734948).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acce... | {"a": 614248, "b": 2734948, "c": 1413902, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 1049786} | 1 |
construct-nppc-quadratic-congruence-l4-s4 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 2649864 such that
x^2 = 1293643 (mod 1918574).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acc... | {"a": 1293643, "b": 1918574, "c": 2649864, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 2486931} | 1 |
construct-nppc-quadratic-congruence-l4-s5 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 3436932 such that
x^2 = 1187071 (mod 1303743).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acc... | {"a": 1187071, "b": 1303743, "c": 3436932, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 2029592} | 1 |
construct-nppc-quadratic-congruence-l4-s6 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 3076071 such that
x^2 = 261980 (mod 1591873).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acce... | {"a": 261980, "b": 1591873, "c": 3076071, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 1197632} | 1 |
construct-nppc-quadratic-congruence-l4-s7 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 3427846 such that
x^2 = 479049 (mod 1936095).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acce... | {"a": 479049, "b": 1936095, "c": 3427846, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 1125882} | 1 |
construct-nppc-quadratic-congruence-l4-s8 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 552952 such that
x^2 = 22300 (mod 45397).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet access. | {"a": 22300, "b": 45397, "c": 552952, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 267987} | 1 |
construct-nppc-quadratic-congruence-l4-s9 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 4 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 2798116 such that
x^2 = 216112 (mod 552092).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` is graded. There is no internet acces... | {"a": 216112, "b": 552092, "c": 2798116, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 2672004} | 1 |
construct-nppc-quadratic-congruence-l5-s0 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 3879206096814625443 such that
x^2 = 4462881905751867591 (mod 5824574491979322253).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json`... | {"a": 4462881905751867591, "b": 5824574491979322253, "c": 3879206096814625443, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 3875433992922812351} | 1 |
construct-nppc-quadratic-congruence-l5-s1 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 3004985255350182844 such that
x^2 = 252358980226651980 (mod 4608377544574235533).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` ... | {"a": 252358980226651980, "b": 4608377544574235533, "c": 3004985255350182844, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 3003601229816652210} | 1 |
construct-nppc-quadratic-congruence-l5-s2 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 1534599599136143531 such that
x^2 = 2504850041038783476 (mod 2985454712665284547).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json`... | {"a": 2504850041038783476, "b": 2985454712665284547, "c": 1534599599136143531, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 1532827652473523644} | 1 |
construct-nppc-quadratic-congruence-l5-s3 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 875594439479069359 such that
x^2 = 3878012319265671569 (mod 4055180111029539839).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` ... | {"a": 3878012319265671569, "b": 4055180111029539839, "c": 875594439479069359, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 873887707349406070} | 1 |
construct-nppc-quadratic-congruence-l5-s4 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 397065541589976370 such that
x^2 = 1105246265959234458 (mod 2847013026948502147).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` ... | {"a": 1105246265959234458, "b": 2847013026948502147, "c": 397065541589976370, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 395740645371436700} | 1 |
construct-nppc-quadratic-congruence-l5-s5 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 6426444898856818359 such that
x^2 = 4664232830895064719 (mod 7661793303530195773).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json`... | {"a": 4664232830895064719, "b": 7661793303530195773, "c": 6426444898856818359, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 6419542959710869068} | 1 |
construct-nppc-quadratic-congruence-l5-s6 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 2565735492327126663 such that
x^2 = 4378090804656374248 (mod 6992610967666025809).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json`... | {"a": 4378090804656374248, "b": 6992610967666025809, "c": 2565735492327126663, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 2565492010015316471} | 1 |
construct-nppc-quadratic-congruence-l5-s7 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 236146277776390021 such that
x^2 = 597618835044042815 (mod 5063666165401949383).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` i... | {"a": 597618835044042815, "b": 5063666165401949383, "c": 236146277776390021, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 232322412197427741} | 1 |
construct-nppc-quadratic-congruence-l5-s8 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 4146322722292996339 such that
x^2 = 923990027566057814 (mod 4800955208639099207).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json` ... | {"a": 923990027566057814, "b": 4800955208639099207, "c": 4146322722292996339, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 4142201632156378895} | 1 |
construct-nppc-quadratic-congruence-l5-s9 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 5 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 7102530124532258728 such that
x^2 = 3958282488698417668 (mod 7575469236806246299).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`. The instance data is also in `/workdir/instance.json`. Only `/workdir/answer.json`... | {"a": 3958282488698417668, "b": 7575469236806246299, "c": 7102530124532258728, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 7097494890560016282} | 1 |
construct-nppc-quadratic-congruence-l6-s0 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 170690396901712565523618602570108501781620541 such that
x^2 = 69949447710857463966058429949540960708984393755 (mod 116752723035413833583551890218610134433309379219).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`.... | {"a": 69949447710857463966058429949540960708984393755, "b": 116752723035413833583551890218610134433309379219, "c": 170690396901712565523618602570108501781620541, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 167764679954075549326197778087457773127852696} | 1 |
construct-nppc-quadratic-congruence-l6-s1 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 177087527427745295577607238672554831430928095168 such that
x^2 = 56971645208274324388161791583706293536497471683 (mod 178767624844011001516469591730795906116766759349).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.jso... | {"a": 56971645208274324388161791583706293536497471683, "b": 178767624844011001516469591730795906116766759349, "c": 177087527427745295577607238672554831430928095168, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 177081166447422316793371438406633507409738315106} | 1 |
construct-nppc-quadratic-congruence-l6-s2 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 157691229587311232391096340338894324214503389407 such that
x^2 = 116757058586784956845388387762449504413262155501 (mod 163682378999643305001128986687253590802264586097).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.js... | {"a": 116757058586784956845388387762449504413262155501, "b": 163682378999643305001128986687253590802264586097, "c": 157691229587311232391096340338894324214503389407, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 157684794827699656837768561542320876530022839838} | 1 |
construct-nppc-quadratic-congruence-l6-s3 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 178425056429802095852851124768623520344473035959 such that
x^2 = 34322292804173329451794444471347083768414991817 (mod 212683753137781606690885709001486990856642175161).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.jso... | {"a": 34322292804173329451794444471347083768414991817, "b": 212683753137781606690885709001486990856642175161, "c": 178425056429802095852851124768623520344473035959, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 178424593453532532216727916676481843180781634196} | 1 |
construct-nppc-quadratic-congruence-l6-s4 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 155466150104900151690761786422066641366886926332 such that
x^2 = 185862978271109057504131336370876095676608028147 (mod 263603019027103054600622249816138468514069009007).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.js... | {"a": 185862978271109057504131336370876095676608028147, "b": 263603019027103054600622249816138468514069009007, "c": 155466150104900151690761786422066641366886926332, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 155459998128155802521992706122542182718191430912} | 1 |
construct-nppc-quadratic-congruence-l6-s5 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 99545841375422446286744653121014064371677176364 such that
x^2 = 80528802366340258782383235369770509707082011454 (mod 157897939657185658163447453336584125604239801029).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json... | {"a": 80528802366340258782383235369770509707082011454, "b": 157897939657185658163447453336584125604239801029, "c": 99545841375422446286744653121014064371677176364, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 99540853897249993691539252562013622436228496156} | 1 |
construct-nppc-quadratic-congruence-l6-s6 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 33519316894089097533880334306886325399338659963 such that
x^2 = 11192067037090352334951661408803249306769261793 (mod 79169842608946254330773699028375623815776039893).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`... | {"a": 11192067037090352334951661408803249306769261793, "b": 79169842608946254330773699028375623815776039893, "c": 33519316894089097533880334306886325399338659963, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 33516363461005447307033998190117305949956576999} | 1 |
construct-nppc-quadratic-congruence-l6-s7 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 33159055645726876205987857463064569187576621730 such that
x^2 = 153879964348175119621192249586863784264926265037 (mod 258583211762801849157885436569255510813072484469).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.jso... | {"a": 153879964348175119621192249586863784264926265037, "b": 258583211762801849157885436569255510813072484469, "c": 33159055645726876205987857463064569187576621730, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 33146452745072971592474474663902396844682688447} | 1 |
construct-nppc-quadratic-congruence-l6-s8 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 24626609658804355909636411953818077473565084769 such that
x^2 = 89728043748840914874583959461029348010361798650 (mod 110563576442392745193097775043744294746082258649).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json... | {"a": 89728043748840914874583959461029348010361798650, "b": 110563576442392745193097775043744294746082258649, "c": 24626609658804355909636411953818077473565084769, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 24625282150616629253534138003686707079318217308} | 1 |
construct-nppc-quadratic-congruence-l6-s9 | construct | nppc_quadratic_congruence | quadratic_congruence_bounded | number_theory | competition | 6 | NPPC/quadratic_congruence | MIT | [
"agentic_trivial",
"np_search"
] | Find an integer x with 1 <= x < 48293723721277017789522921140705095396913061173 such that
x^2 = 54411231287342036586557456943569560239781274087 (mod 67903019655856310312545467541604458285820320537).
Answer format: {"x": <integer>} (a JSON integer, exact).
Write your final answer as JSON to `/workdir/answer.json`... | {"a": 54411231287342036586557456943569560239781274087, "b": 67903019655856310312545467541604458285820320537, "c": 48293723721277017789522921140705095396913061173, "family": "nppc_quadratic_congruence", "subset": "construct"} | null | null | null | {"x": 48292796818317024962048407435450600420549279215} | 1 |
construct-nppc-3col-l1-s0 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 1], [0, 6], [0, 9], [1, 4], [1, 5], [1, 6], [1, 7], [2, 5], [2, 6], [3, 5], [3, 6], [3, 7], [3, 9], [4, 5], [4, 6], [4, 7], [4, 8], [5, 8], [5, 9], [7, 8]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 1], [0, 6], [0, 9], [1, 4], [1, 5], [1, 6], [1, 7], [2, 5], [2, 6], [3, 5], [3, 6], [3, 7], [3, 9], [4, 5], [4, 6], [4, 7], [4, 8], [5, 8], [5, 9], [7, 8]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [0, 1, 0, 0, 0, 2, 2, 2, 1, 1]} | 1 |
construct-nppc-3col-l1-s1 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 1], [0, 9], [1, 3], [1, 9], [2, 3], [2, 6], [2, 7], [3, 4], [3, 7], [4, 6], [4, 7], [4, 8], [4, 9], [5, 6], [5, 7], [5, 8], [5, 9], [6, 7], [7, 9], [8, 9]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 1], [0, 9], [1, 3], [1, 9], [2, 3], [2, 6], [2, 7], [3, 4], [3, 7], [4, 6], [4, 7], [4, 8], [4, 9], [5, 6], [5, 7], [5, 8], [5, 9], [6, 7], [7, 9], [8, 9]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [2, 0, 0, 1, 0, 0, 1, 2, 2, 1]} | 1 |
construct-nppc-3col-l1-s2 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 2], [0, 3], [0, 9], [1, 2], [1, 5], [1, 6], [1, 8], [1, 9], [2, 4], [2, 6], [3, 4], [3, 5], [3, 7], [4, 6], [4, 7], [4, 8], [4, 9], [5, 8], [7, 8], [7, 9]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 2], [0, 3], [0, 9], [1, 2], [1, 5], [1, 6], [1, 8], [1, 9], [2, 4], [2, 6], [3, 4], [3, 5], [3, 7], [4, 6], [4, 7], [4, 8], [4, 9], [5, 8], [7, 8], [7, 9]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [2, 2, 0, 0, 2, 1, 1, 1, 0, 0]} | 1 |
construct-nppc-3col-l1-s3 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 1], [0, 4], [0, 5], [0, 6], [0, 7], [0, 8], [1, 3], [1, 6], [1, 8], [2, 4], [2, 6], [2, 7], [2, 8], [3, 4], [3, 5], [3, 6], [3, 8], [4, 7], [4, 8], [8, 9]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 1], [0, 4], [0, 5], [0, 6], [0, 7], [0, 8], [1, 3], [1, 6], [1, 8], [2, 4], [2, 6], [2, 7], [2, 8], [3, 4], [3, 5], [3, 6], [3, 8], [4, 7], [4, 8], [8, 9]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [1, 2, 1, 1, 2, 0, 0, 0, 0, 2]} | 1 |
construct-nppc-3col-l1-s4 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 2], [0, 3], [0, 7], [0, 9], [1, 4], [1, 5], [1, 7], [1, 8], [1, 9], [2, 3], [2, 7], [3, 6], [3, 8], [4, 5], [4, 8], [5, 6], [5, 7], [6, 7], [6, 9], [8, 9]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 2], [0, 3], [0, 7], [0, 9], [1, 4], [1, 5], [1, 7], [1, 8], [1, 9], [2, 3], [2, 7], [3, 6], [3, 8], [4, 5], [4, 8], [5, 6], [5, 7], [6, 7], [6, 9], [8, 9]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [2, 2, 1, 0, 0, 1, 2, 0, 1, 0]} | 1 |
construct-nppc-3col-l1-s5 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 1], [0, 2], [0, 4], [0, 6], [0, 8], [0, 9], [1, 2], [1, 6], [1, 7], [1, 9], [2, 3], [2, 4], [2, 7], [3, 5], [3, 6], [3, 9], [4, 7], [4, 9], [5, 7], [7, 9]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 1], [0, 2], [0, 4], [0, 6], [0, 8], [0, 9], [1, 2], [1, 6], [1, 7], [1, 9], [2, 3], [2, 4], [2, 7], [3, 5], [3, 6], [3, 9], [4, 7], [4, 9], [5, 7], [7, 9]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [1, 2, 0, 1, 2, 0, 0, 1, 2, 0]} | 1 |
construct-nppc-3col-l1-s6 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 4], [0, 5], [0, 6], [0, 8], [1, 3], [1, 6], [1, 8], [2, 4], [2, 5], [2, 6], [2, 7], [2, 8], [3, 5], [3, 8], [3, 9], [4, 9], [5, 7], [6, 7], [7, 8], [8, 9]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 4], [0, 5], [0, 6], [0, 8], [1, 3], [1, 6], [1, 8], [2, 4], [2, 5], [2, 6], [2, 7], [2, 8], [3, 5], [3, 8], [3, 9], [4, 9], [5, 7], [6, 7], [7, 8], [8, 9]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [2, 1, 2, 2, 0, 0, 0, 1, 0, 1]} | 1 |
construct-nppc-3col-l1-s7 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 1], [0, 2], [0, 4], [0, 8], [1, 3], [1, 4], [1, 9], [2, 6], [2, 7], [2, 9], [3, 6], [3, 7], [3, 8], [4, 5], [4, 7], [4, 8], [6, 8], [7, 8], [7, 9], [8, 9]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 1], [0, 2], [0, 4], [0, 8], [1, 3], [1, 4], [1, 9], [2, 6], [2, 7], [2, 9], [3, 6], [3, 7], [3, 8], [4, 5], [4, 7], [4, 8], [6, 8], [7, 8], [7, 9], [8, 9]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [2, 0, 0, 1, 1, 0, 2, 2, 0, 1]} | 1 |
construct-nppc-3col-l1-s8 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 4], [0, 5], [0, 6], [0, 7], [1, 2], [1, 3], [1, 7], [2, 5], [2, 6], [2, 7], [3, 5], [3, 6], [3, 7], [4, 6], [4, 7], [4, 8], [5, 6], [5, 7], [5, 9], [7, 8]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 4], [0, 5], [0, 6], [0, 7], [1, 2], [1, 3], [1, 7], [2, 5], [2, 6], [2, 7], [3, 5], [3, 6], [3, 7], [4, 6], [4, 7], [4, 8], [5, 6], [5, 7], [5, 9], [7, 8]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [0, 1, 0, 0, 1, 1, 2, 2, 0, 2]} | 1 |
construct-nppc-3col-l1-s9 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 1 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 10 vertices labelled 0..9 and edge list
[[0, 1], [0, 4], [0, 5], [0, 6], [0, 8], [1, 2], [1, 5], [1, 6], [1, 9], [2, 3], [2, 5], [2, 6], [2, 8], [2, 9], [3, 5], [3, 9], [4, 8], [4, 9], [5, 7], [6, 7]]
Give a proper colouring with colours 0, 1, 2: adjacent vertices must get different colours.
Answer format:... | {"num_nodes": 10, "edges": [[0, 1], [0, 4], [0, 5], [0, 6], [0, 8], [1, 2], [1, 5], [1, 6], [1, 9], [2, 3], [2, 5], [2, 6], [2, 8], [2, 9], [3, 5], [3, 9], [4, 8], [4, 9], [5, 7], [6, 7]], "family": "nppc_three_coloring", "subset": "construct"} | null | null | null | {"coloring": [1, 2, 1, 2, 2, 0, 0, 1, 0, 0]} | 1 |
construct-nppc-3col-l2-s0 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 2], [0, 8], [0, 12], [0, 14], [1, 6], [1, 7], [1, 9], [1, 11], [1, 13], [1, 14], [2, 7], [2, 8], [2, 9], [2, 13], [2, 14], [3, 5], [3, 7], [3, 8], [3, 10], [3, 11], [3, 14], [4, 6], [4, 7], [4, 9], [4, 11], [5, 6], [5, 10], [5, 11], [6, 7], [6, 12], [6, 13], [7, ... | {"num_nodes": 15, "edges": [[0, 2], [0, 8], [0, 12], [0, 14], [1, 6], [1, 7], [1, 9], [1, 11], [1, 13], [1, 14], [2, 7], [2, 8], [2, 9], [2, 13], [2, 14], [3, 5], [3, 7], [3, 8], [3, 10], [3, 11], [3, 14], [4, 6], [4, 7], [4, 9], [4, 11], [5, 6], [5, 10], [5, 11], [6, 7], [6, 12], [6, 13], [7, 10], [7, 11], [8, 10], [8... | null | null | null | {"coloring": [1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2]} | 1 |
construct-nppc-3col-l2-s1 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 3], [0, 5], [0, 6], [0, 11], [0, 13], [0, 14], [1, 2], [1, 4], [1, 7], [1, 13], [2, 3], [2, 6], [2, 7], [2, 10], [3, 5], [3, 9], [3, 10], [3, 12], [4, 5], [4, 6], [4, 12], [4, 14], [5, 6], [5, 7], [5, 8], [5, 9], [5, 10], [6, 9], [6, 12], [6, 13], [7, 8], [7, 11]... | {"num_nodes": 15, "edges": [[0, 3], [0, 5], [0, 6], [0, 11], [0, 13], [0, 14], [1, 2], [1, 4], [1, 7], [1, 13], [2, 3], [2, 6], [2, 7], [2, 10], [3, 5], [3, 9], [3, 10], [3, 12], [4, 5], [4, 6], [4, 12], [4, 14], [5, 6], [5, 7], [5, 8], [5, 9], [5, 10], [6, 9], [6, 12], [6, 13], [7, 8], [7, 11], [7, 12], [7, 13], [8, 9... | null | null | null | {"coloring": [0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1]} | 1 |
construct-nppc-3col-l2-s2 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 1], [0, 5], [0, 6], [0, 8], [0, 10], [0, 12], [1, 3], [1, 4], [1, 6], [1, 13], [1, 14], [2, 5], [2, 6], [2, 7], [2, 8], [2, 9], [2, 12], [2, 14], [3, 4], [3, 10], [3, 12], [4, 7], [4, 8], [4, 9], [4, 10], [5, 7], [5, 10], [5, 12], [6, 10], [6, 11], [6, 12], [7, 1... | {"num_nodes": 15, "edges": [[0, 1], [0, 5], [0, 6], [0, 8], [0, 10], [0, 12], [1, 3], [1, 4], [1, 6], [1, 13], [1, 14], [2, 5], [2, 6], [2, 7], [2, 8], [2, 9], [2, 12], [2, 14], [3, 4], [3, 10], [3, 12], [4, 7], [4, 8], [4, 9], [4, 10], [5, 7], [5, 10], [5, 12], [6, 10], [6, 11], [6, 12], [7, 14], [8, 9], [8, 11], [8, ... | null | null | null | {"coloring": [1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0]} | 1 |
construct-nppc-3col-l2-s3 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 8], [0, 12], [1, 2], [1, 5], [1, 7], [1, 8], [1, 9], [1, 13], [1, 14], [2, 3], [2, 4], [2, 7], [2, 9], [2, 11], [2, 13], [3, 6], [3, 8], [3, 9], [3, 10], [3, 12], [3, 14], [4, 8], [4, 10], [4, 12], [4, 13], [4, 14], [5, 8], [5, 9], [5, 10], [5, 13], [6, 8], [6, 1... | {"num_nodes": 15, "edges": [[0, 8], [0, 12], [1, 2], [1, 5], [1, 7], [1, 8], [1, 9], [1, 13], [1, 14], [2, 3], [2, 4], [2, 7], [2, 9], [2, 11], [2, 13], [3, 6], [3, 8], [3, 9], [3, 10], [3, 12], [3, 14], [4, 8], [4, 10], [4, 12], [4, 13], [4, 14], [5, 8], [5, 9], [5, 10], [5, 13], [6, 8], [6, 10], [6, 11], [6, 13], [7,... | null | null | null | {"coloring": [0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2]} | 1 |
construct-nppc-3col-l2-s4 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 6], [0, 7], [0, 12], [1, 3], [1, 9], [1, 10], [1, 11], [1, 12], [1, 13], [1, 14], [2, 9], [2, 10], [2, 11], [2, 13], [2, 14], [3, 6], [3, 7], [4, 6], [4, 8], [4, 9], [4, 11], [4, 12], [5, 7], [5, 8], [5, 9], [5, 13], [6, 9], [6, 11], [6, 13], [6, 14], [7, 10], [7... | {"num_nodes": 15, "edges": [[0, 6], [0, 7], [0, 12], [1, 3], [1, 9], [1, 10], [1, 11], [1, 12], [1, 13], [1, 14], [2, 9], [2, 10], [2, 11], [2, 13], [2, 14], [3, 6], [3, 7], [4, 6], [4, 8], [4, 9], [4, 11], [4, 12], [5, 7], [5, 8], [5, 9], [5, 13], [6, 9], [6, 11], [6, 13], [6, 14], [7, 10], [7, 12], [7, 14], [8, 9], [... | null | null | null | {"coloring": [0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0]} | 1 |
construct-nppc-3col-l2-s5 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 4], [0, 8], [0, 10], [0, 11], [0, 12], [0, 14], [1, 3], [1, 7], [1, 8], [1, 11], [2, 4], [2, 7], [2, 9], [2, 10], [2, 11], [2, 12], [2, 14], [3, 4], [3, 9], [3, 11], [3, 12], [3, 14], [4, 13], [5, 6], [5, 7], [5, 9], [5, 10], [5, 12], [5, 14], [6, 7], [6, 8], [6,... | {"num_nodes": 15, "edges": [[0, 4], [0, 8], [0, 10], [0, 11], [0, 12], [0, 14], [1, 3], [1, 7], [1, 8], [1, 11], [2, 4], [2, 7], [2, 9], [2, 10], [2, 11], [2, 12], [2, 14], [3, 4], [3, 9], [3, 11], [3, 12], [3, 14], [4, 13], [5, 6], [5, 7], [5, 9], [5, 10], [5, 12], [5, 14], [6, 7], [6, 8], [6, 13], [7, 10], [8, 12], [... | null | null | null | {"coloring": [0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2]} | 1 |
construct-nppc-3col-l2-s6 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 2], [0, 3], [0, 5], [1, 2], [1, 7], [1, 9], [1, 12], [1, 13], [2, 4], [2, 8], [2, 9], [2, 11], [3, 4], [3, 8], [3, 11], [4, 5], [4, 8], [4, 9], [4, 12], [4, 13], [4, 14], [5, 7], [5, 8], [5, 9], [5, 11], [5, 13], [6, 10], [6, 11], [6, 12], [6, 14], [7, 11], [7, 1... | {"num_nodes": 15, "edges": [[0, 2], [0, 3], [0, 5], [1, 2], [1, 7], [1, 9], [1, 12], [1, 13], [2, 4], [2, 8], [2, 9], [2, 11], [3, 4], [3, 8], [3, 11], [4, 5], [4, 8], [4, 9], [4, 12], [4, 13], [4, 14], [5, 7], [5, 8], [5, 9], [5, 11], [5, 13], [6, 10], [6, 11], [6, 12], [6, 14], [7, 11], [7, 14], [8, 11], [8, 12], [8,... | null | null | null | {"coloring": [0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2]} | 1 |
construct-nppc-3col-l2-s7 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 4], [0, 5], [0, 6], [0, 11], [0, 12], [0, 13], [1, 6], [1, 7], [1, 14], [2, 4], [2, 5], [2, 9], [2, 10], [3, 6], [3, 7], [3, 8], [3, 9], [4, 7], [4, 8], [4, 10], [5, 7], [5, 10], [5, 11], [5, 14], [6, 8], [6, 9], [6, 10], [6, 13], [7, 8], [7, 9], [7, 12], [8, 12]... | {"num_nodes": 15, "edges": [[0, 4], [0, 5], [0, 6], [0, 11], [0, 12], [0, 13], [1, 6], [1, 7], [1, 14], [2, 4], [2, 5], [2, 9], [2, 10], [3, 6], [3, 7], [3, 8], [3, 9], [4, 7], [4, 8], [4, 10], [5, 7], [5, 10], [5, 11], [5, 14], [6, 8], [6, 9], [6, 10], [6, 13], [7, 8], [7, 9], [7, 12], [8, 12], [9, 12], [9, 13], [10, ... | null | null | null | {"coloring": [0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1]} | 1 |
construct-nppc-3col-l2-s8 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 1], [0, 5], [0, 6], [0, 8], [0, 13], [1, 3], [1, 4], [1, 9], [1, 10], [2, 3], [2, 4], [2, 9], [2, 10], [3, 6], [3, 9], [4, 6], [4, 7], [4, 11], [4, 13], [5, 6], [5, 8], [5, 9], [5, 12], [5, 13], [6, 7], [6, 10], [6, 11], [6, 14], [7, 8], [7, 12], [8, 10], [8, 11]... | {"num_nodes": 15, "edges": [[0, 1], [0, 5], [0, 6], [0, 8], [0, 13], [1, 3], [1, 4], [1, 9], [1, 10], [2, 3], [2, 4], [2, 9], [2, 10], [3, 6], [3, 9], [4, 6], [4, 7], [4, 11], [4, 13], [5, 6], [5, 8], [5, 9], [5, 12], [5, 13], [6, 7], [6, 10], [6, 11], [6, 14], [7, 8], [7, 12], [8, 10], [8, 11], [8, 12], [9, 11], [9, 1... | null | null | null | {"coloring": [0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1]} | 1 |
construct-nppc-3col-l2-s9 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 2 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 15 vertices labelled 0..14 and edge list
[[0, 1], [0, 8], [0, 9], [0, 10], [0, 11], [0, 12], [0, 13], [1, 2], [1, 3], [1, 5], [1, 6], [1, 8], [1, 9], [2, 8], [2, 9], [2, 10], [2, 11], [2, 13], [2, 14], [3, 8], [3, 9], [3, 11], [3, 12], [3, 13], [4, 8], [4, 9], [5, 7], [5, 11], [5, 12], [5, 13], [6, 10], [6, ... | {"num_nodes": 15, "edges": [[0, 1], [0, 8], [0, 9], [0, 10], [0, 11], [0, 12], [0, 13], [1, 2], [1, 3], [1, 5], [1, 6], [1, 8], [1, 9], [2, 8], [2, 9], [2, 10], [2, 11], [2, 13], [2, 14], [3, 8], [3, 9], [3, 11], [3, 12], [3, 13], [4, 8], [4, 9], [5, 7], [5, 11], [5, 12], [5, 13], [6, 10], [6, 11], [6, 12], [6, 13], [7... | null | null | null | {"coloring": [1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0]} | 1 |
construct-nppc-3col-l3-s0 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 15], [0, 26], [0, 29], [1, 2], [1, 3], [1, 14], [1, 15], [1, 24], [1, 28], [1, 29], [2, 10], [2, 28], [3, 8], [3, 16], [3, 18], [3, 19], [3, 27], [4, 11], [4, 15], [4, 26], [4, 28], [5, 9], [5, 14], [5, 16], [5, 22], [6, 20], [6, 23], [7, 8], [7, 18], [8, 14], [8... | {"num_nodes": 30, "edges": [[0, 15], [0, 26], [0, 29], [1, 2], [1, 3], [1, 14], [1, 15], [1, 24], [1, 28], [1, 29], [2, 10], [2, 28], [3, 8], [3, 16], [3, 18], [3, 19], [3, 27], [4, 11], [4, 15], [4, 26], [4, 28], [5, 9], [5, 14], [5, 16], [5, 22], [6, 20], [6, 23], [7, 8], [7, 18], [8, 14], [8, 15], [8, 20], [9, 19], ... | null | null | null | {"coloring": [0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2]} | 1 |
construct-nppc-3col-l3-s1 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 15], [0, 18], [0, 24], [1, 14], [1, 21], [1, 23], [1, 27], [2, 7], [2, 12], [2, 25], [3, 20], [3, 22], [3, 26], [4, 10], [4, 14], [4, 19], [4, 25], [5, 25], [6, 16], [6, 24], [7, 20], [7, 21], [7, 27], [8, 16], [8, 26], [9, 10], [10, 13], [10, 26], [10, 29], [11,... | {"num_nodes": 30, "edges": [[0, 15], [0, 18], [0, 24], [1, 14], [1, 21], [1, 23], [1, 27], [2, 7], [2, 12], [2, 25], [3, 20], [3, 22], [3, 26], [4, 10], [4, 14], [4, 19], [4, 25], [5, 25], [6, 16], [6, 24], [7, 20], [7, 21], [7, 27], [8, 16], [8, 26], [9, 10], [10, 13], [10, 26], [10, 29], [11, 12], [11, 23], [11, 28],... | null | null | null | {"coloring": [2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1]} | 1 |
construct-nppc-3col-l3-s2 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 1], [0, 2], [0, 5], [0, 11], [0, 22], [2, 3], [2, 14], [2, 20], [2, 27], [3, 19], [3, 20], [3, 24], [3, 27], [4, 9], [4, 10], [4, 15], [4, 23], [4, 25], [4, 28], [5, 6], [5, 13], [5, 14], [6, 10], [6, 22], [7, 16], [8, 20], [8, 22], [8, 27], [8, 29], [9, 18], [9,... | {"num_nodes": 30, "edges": [[0, 1], [0, 2], [0, 5], [0, 11], [0, 22], [2, 3], [2, 14], [2, 20], [2, 27], [3, 19], [3, 20], [3, 24], [3, 27], [4, 9], [4, 10], [4, 15], [4, 23], [4, 25], [4, 28], [5, 6], [5, 13], [5, 14], [6, 10], [6, 22], [7, 16], [8, 20], [8, 22], [8, 27], [8, 29], [9, 18], [9, 23], [11, 13], [11, 16],... | null | null | null | {"coloring": [2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1]} | 1 |
construct-nppc-3col-l3-s3 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 1], [0, 9], [0, 10], [0, 14], [1, 7], [1, 8], [1, 12], [1, 16], [1, 25], [1, 26], [2, 19], [2, 25], [3, 12], [3, 27], [4, 10], [4, 12], [4, 21], [5, 21], [5, 22], [6, 17], [6, 23], [6, 29], [7, 9], [7, 23], [7, 26], [8, 26], [10, 17], [11, 12], [11, 18], [11, 27]... | {"num_nodes": 30, "edges": [[0, 1], [0, 9], [0, 10], [0, 14], [1, 7], [1, 8], [1, 12], [1, 16], [1, 25], [1, 26], [2, 19], [2, 25], [3, 12], [3, 27], [4, 10], [4, 12], [4, 21], [5, 21], [5, 22], [6, 17], [6, 23], [6, 29], [7, 9], [7, 23], [7, 26], [8, 26], [10, 17], [11, 12], [11, 18], [11, 27], [12, 22], [12, 24], [12... | null | null | null | {"coloring": [1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0]} | 1 |
construct-nppc-3col-l3-s4 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 2], [0, 4], [0, 20], [0, 25], [1, 3], [1, 8], [1, 13], [1, 17], [2, 6], [2, 10], [2, 16], [2, 24], [2, 28], [3, 18], [3, 26], [4, 16], [4, 19], [4, 22], [5, 12], [5, 24], [5, 27], [5, 28], [5, 29], [6, 19], [6, 20], [6, 29], [7, 9], [7, 11], [7, 14], [7, 25], [7,... | {"num_nodes": 30, "edges": [[0, 2], [0, 4], [0, 20], [0, 25], [1, 3], [1, 8], [1, 13], [1, 17], [2, 6], [2, 10], [2, 16], [2, 24], [2, 28], [3, 18], [3, 26], [4, 16], [4, 19], [4, 22], [5, 12], [5, 24], [5, 27], [5, 28], [5, 29], [6, 19], [6, 20], [6, 29], [7, 9], [7, 11], [7, 14], [7, 25], [7, 28], [7, 29], [8, 15], [... | null | null | null | {"coloring": [1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2]} | 1 |
construct-nppc-3col-l3-s5 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 4], [0, 8], [0, 21], [1, 20], [1, 24], [2, 4], [2, 8], [2, 14], [2, 20], [2, 28], [3, 6], [3, 8], [3, 14], [3, 15], [3, 16], [4, 9], [4, 11], [4, 16], [5, 12], [5, 29], [6, 13], [6, 17], [7, 8], [7, 9], [8, 15], [9, 17], [9, 22], [9, 24], [10, 11], [10, 16], [10,... | {"num_nodes": 30, "edges": [[0, 4], [0, 8], [0, 21], [1, 20], [1, 24], [2, 4], [2, 8], [2, 14], [2, 20], [2, 28], [3, 6], [3, 8], [3, 14], [3, 15], [3, 16], [4, 9], [4, 11], [4, 16], [5, 12], [5, 29], [6, 13], [6, 17], [7, 8], [7, 9], [8, 15], [9, 17], [9, 22], [9, 24], [10, 11], [10, 16], [10, 18], [11, 14], [11, 20],... | null | null | null | {"coloring": [1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0]} | 1 |
construct-nppc-3col-l3-s6 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 9], [0, 13], [0, 26], [0, 28], [1, 7], [1, 8], [1, 14], [1, 17], [1, 24], [2, 16], [2, 20], [2, 22], [3, 7], [3, 16], [4, 12], [4, 29], [5, 6], [5, 8], [5, 12], [5, 26], [6, 16], [6, 24], [6, 26], [6, 29], [7, 9], [7, 14], [7, 17], [7, 18], [7, 19], [7, 29], [8, ... | {"num_nodes": 30, "edges": [[0, 9], [0, 13], [0, 26], [0, 28], [1, 7], [1, 8], [1, 14], [1, 17], [1, 24], [2, 16], [2, 20], [2, 22], [3, 7], [3, 16], [4, 12], [4, 29], [5, 6], [5, 8], [5, 12], [5, 26], [6, 16], [6, 24], [6, 26], [6, 29], [7, 9], [7, 14], [7, 17], [7, 18], [7, 19], [7, 29], [8, 9], [8, 16], [8, 22], [8,... | null | null | null | {"coloring": [2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2]} | 1 |
construct-nppc-3col-l3-s7 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 5], [1, 11], [1, 12], [1, 22], [1, 23], [1, 27], [2, 6], [2, 7], [2, 8], [2, 9], [2, 10], [2, 20], [2, 26], [2, 29], [3, 8], [3, 10], [3, 24], [3, 27], [4, 7], [4, 18], [4, 24], [4, 25], [5, 21], [6, 25], [7, 8], [7, 13], [7, 14], [7, 22], [8, 12], [8, 14], [8, 1... | {"num_nodes": 30, "edges": [[0, 5], [1, 11], [1, 12], [1, 22], [1, 23], [1, 27], [2, 6], [2, 7], [2, 8], [2, 9], [2, 10], [2, 20], [2, 26], [2, 29], [3, 8], [3, 10], [3, 24], [3, 27], [4, 7], [4, 18], [4, 24], [4, 25], [5, 21], [6, 25], [7, 8], [7, 13], [7, 14], [7, 22], [8, 12], [8, 14], [8, 15], [8, 16], [8, 22], [9,... | null | null | null | {"coloring": [1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2]} | 1 |
construct-nppc-3col-l3-s8 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 11], [0, 28], [1, 5], [1, 22], [1, 25], [1, 29], [2, 9], [2, 10], [2, 12], [2, 24], [2, 28], [2, 29], [3, 9], [3, 10], [3, 18], [4, 6], [4, 20], [4, 27], [4, 29], [5, 9], [5, 16], [5, 21], [6, 8], [6, 11], [6, 16], [6, 17], [7, 20], [8, 9], [8, 10], [8, 12], [8, ... | {"num_nodes": 30, "edges": [[0, 11], [0, 28], [1, 5], [1, 22], [1, 25], [1, 29], [2, 9], [2, 10], [2, 12], [2, 24], [2, 28], [2, 29], [3, 9], [3, 10], [3, 18], [4, 6], [4, 20], [4, 27], [4, 29], [5, 9], [5, 16], [5, 21], [6, 8], [6, 11], [6, 16], [6, 17], [7, 20], [8, 9], [8, 10], [8, 12], [8, 21], [8, 24], [9, 13], [9... | null | null | null | {"coloring": [0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2]} | 1 |
construct-nppc-3col-l3-s9 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 3 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 5], [0, 14], [0, 21], [0, 23], [0, 25], [1, 15], [1, 24], [1, 26], [2, 4], [2, 8], [2, 9], [2, 17], [2, 19], [2, 29], [3, 8], [3, 10], [3, 15], [3, 22], [4, 5], [4, 6], [4, 7], [4, 23], [4, 28], [5, 15], [5, 21], [5, 26], [6, 10], [6, 18], [6, 21], [7, 29], [8, 9... | {"num_nodes": 30, "edges": [[0, 5], [0, 14], [0, 21], [0, 23], [0, 25], [1, 15], [1, 24], [1, 26], [2, 4], [2, 8], [2, 9], [2, 17], [2, 19], [2, 29], [3, 8], [3, 10], [3, 15], [3, 22], [4, 5], [4, 6], [4, 7], [4, 23], [4, 28], [5, 15], [5, 21], [5, 26], [6, 10], [6, 18], [6, 21], [7, 29], [8, 9], [8, 11], [8, 14], [8, ... | null | null | null | {"coloring": [0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0]} | 1 |
construct-nppc-3col-l4-s0 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 4 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 14], [0, 18], [0, 22], [0, 28], [1, 3], [1, 8], [1, 10], [1, 12], [1, 13], [1, 14], [1, 19], [1, 23], [2, 17], [2, 24], [3, 22], [3, 27], [4, 17], [4, 22], [4, 25], [4, 26], [5, 11], [5, 12], [5, 14], [5, 16], [5, 18], [6, 12], [6, 18], [6, 22], [6, 25], [6, 29],... | {"num_nodes": 30, "edges": [[0, 14], [0, 18], [0, 22], [0, 28], [1, 3], [1, 8], [1, 10], [1, 12], [1, 13], [1, 14], [1, 19], [1, 23], [2, 17], [2, 24], [3, 22], [3, 27], [4, 17], [4, 22], [4, 25], [4, 26], [5, 11], [5, 12], [5, 14], [5, 16], [5, 18], [6, 12], [6, 18], [6, 22], [6, 25], [6, 29], [7, 12], [7, 13], [8, 10... | null | null | null | {"coloring": [0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1]} | 1 |
construct-nppc-3col-l4-s1 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 4 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 8], [0, 10], [0, 20], [0, 22], [0, 26], [0, 27], [1, 3], [1, 7], [1, 9], [1, 12], [2, 3], [2, 13], [2, 14], [2, 19], [2, 20], [2, 22], [2, 28], [3, 8], [3, 11], [3, 15], [4, 5], [4, 9], [4, 10], [4, 14], [4, 16], [4, 22], [4, 23], [5, 13], [5, 18], [5, 28], [6, 1... | {"num_nodes": 30, "edges": [[0, 8], [0, 10], [0, 20], [0, 22], [0, 26], [0, 27], [1, 3], [1, 7], [1, 9], [1, 12], [2, 3], [2, 13], [2, 14], [2, 19], [2, 20], [2, 22], [2, 28], [3, 8], [3, 11], [3, 15], [4, 5], [4, 9], [4, 10], [4, 14], [4, 16], [4, 22], [4, 23], [5, 13], [5, 18], [5, 28], [6, 11], [6, 15], [6, 18], [6,... | null | null | null | {"coloring": [0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0]} | 1 |
construct-nppc-3col-l4-s2 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 4 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 5], [0, 8], [0, 9], [0, 11], [0, 18], [0, 20], [0, 21], [0, 24], [0, 25], [0, 26], [1, 3], [1, 10], [1, 11], [1, 12], [1, 14], [1, 16], [1, 27], [2, 4], [2, 12], [2, 18], [2, 27], [3, 5], [3, 13], [3, 18], [3, 20], [3, 21], [3, 28], [4, 8], [4, 11], [4, 17], [4, ... | {"num_nodes": 30, "edges": [[0, 5], [0, 8], [0, 9], [0, 11], [0, 18], [0, 20], [0, 21], [0, 24], [0, 25], [0, 26], [1, 3], [1, 10], [1, 11], [1, 12], [1, 14], [1, 16], [1, 27], [2, 4], [2, 12], [2, 18], [2, 27], [3, 5], [3, 13], [3, 18], [3, 20], [3, 21], [3, 28], [4, 8], [4, 11], [4, 17], [4, 18], [4, 25], [5, 9], [5,... | null | null | null | {"coloring": [0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1]} | 1 |
construct-nppc-3col-l4-s3 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 4 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 5], [0, 7], [0, 10], [0, 13], [0, 23], [1, 2], [1, 6], [1, 16], [1, 20], [1, 24], [1, 28], [2, 13], [2, 19], [2, 21], [2, 22], [3, 4], [3, 5], [3, 22], [3, 25], [3, 26], [3, 28], [4, 7], [4, 9], [4, 12], [4, 17], [4, 21], [5, 12], [5, 23], [6, 15], [6, 19], [6, 2... | {"num_nodes": 30, "edges": [[0, 5], [0, 7], [0, 10], [0, 13], [0, 23], [1, 2], [1, 6], [1, 16], [1, 20], [1, 24], [1, 28], [2, 13], [2, 19], [2, 21], [2, 22], [3, 4], [3, 5], [3, 22], [3, 25], [3, 26], [3, 28], [4, 7], [4, 9], [4, 12], [4, 17], [4, 21], [5, 12], [5, 23], [6, 15], [6, 19], [6, 21], [7, 15], [7, 19], [7,... | null | null | null | {"coloring": [2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2]} | 1 |
construct-nppc-3col-l4-s4 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 4 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 3], [0, 5], [0, 10], [0, 14], [0, 18], [0, 29], [1, 3], [1, 15], [2, 6], [2, 10], [2, 11], [2, 14], [2, 15], [2, 26], [3, 9], [3, 12], [3, 16], [3, 27], [4, 6], [4, 14], [4, 15], [4, 20], [4, 21], [4, 23], [4, 25], [5, 16], [5, 17], [5, 24], [5, 25], [6, 7], [6, ... | {"num_nodes": 30, "edges": [[0, 3], [0, 5], [0, 10], [0, 14], [0, 18], [0, 29], [1, 3], [1, 15], [2, 6], [2, 10], [2, 11], [2, 14], [2, 15], [2, 26], [3, 9], [3, 12], [3, 16], [3, 27], [4, 6], [4, 14], [4, 15], [4, 20], [4, 21], [4, 23], [4, 25], [5, 16], [5, 17], [5, 24], [5, 25], [6, 7], [6, 13], [6, 21], [6, 23], [6... | null | null | null | {"coloring": [2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1]} | 1 |
construct-nppc-3col-l4-s5 | construct | nppc_three_coloring | graph_3_coloring | graph_theory | competition | 4 | NPPC/graph_three_colorability | MIT | [
"agentic_trivial",
"np_search"
] | Graph with 30 vertices labelled 0..29 and edge list
[[0, 14], [0, 19], [0, 28], [1, 3], [1, 4], [1, 11], [1, 13], [1, 14], [1, 25], [2, 18], [2, 26], [3, 12], [3, 13], [3, 18], [4, 6], [4, 12], [4, 17], [4, 21], [4, 23], [4, 26], [5, 9], [5, 15], [5, 28], [6, 20], [6, 21], [6, 22], [6, 25], [6, 29], [7, 9], [7, 10], [7... | {"num_nodes": 30, "edges": [[0, 14], [0, 19], [0, 28], [1, 3], [1, 4], [1, 11], [1, 13], [1, 14], [1, 25], [2, 18], [2, 26], [3, 12], [3, 13], [3, 18], [4, 6], [4, 12], [4, 17], [4, 21], [4, 23], [4, 26], [5, 9], [5, 15], [5, 28], [6, 20], [6, 21], [6, 22], [6, 25], [6, 29], [7, 9], [7, 10], [7, 23], [7, 25], [8, 11], ... | null | null | null | {"coloring": [0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0]} | 1 |
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