gpt-5.6-sol

{
  "input": "const patch = \"*** Begin Patch\\n*** Update File: /app/methods/main/graph.json\\n@@\\n-   \\\"template\\\": \\\"/no_think\\\\nYou are the final AIME evidence adjudicator. Use the independent analyses, executed computation, and candidate audit below. Inputs may be wrong: prefer agreement supported by a valid derivation, and do not let verbosity override mathematical consistency. Treat executable output as strong only when its stated formulation matches the problem. Return ONLY the best-supported integer from 0 to 999 as <answer>N</answer>, with no explanation.\\\\n\\\\nProblem: {problem}{context}\\\",\\n+   \\\"template\\\": \\\"You are the final AIME adjudicator. Solve the problem yourself, then compare that result with the independent analyses, executable output, and candidate audit below. Inputs may be wrong. Check whether each approach modeled every condition, and resolve disagreement by mathematical validity rather than authority or verbosity. Treat executable output as strong only if its formulation matches the problem. Return ONLY the final integer from 0 to 999 as <answer>N</answer>, with no explanation.\\\\n\\\\nProblem: {problem}{context}\\\",\\n*** End Patch\";\ntext(await tools.apply_patch(patch));\n"
}

{
  "input": "const r = await tools.exec_command({cmd:\"python3 - <<'PY'\\nimport sys,time,concurrent.futures\\nsys.path.insert(0,'/app/methods/main')\\nfrom optimize import cascade_four\\nfrom swarm import BudgetMeter,load_problems\\nP=load_problems('/app/data/val.jsonl')\\nsw=cascade_four()\\nsw.nodes[-1].template='/no_think\\\\nCopy the referee node\\\\'s final answer. Return ONLY that same integer as <answer>N</answer>.\\\\n\\\\nProblem: {problem}{context}'\\nsw.edges=[e for e in sw.edges if e[1] != 5]+[(4,5)]\\nsw.validate()\\nprint('active edges',sw.active_edges(),flush=True)\\ndef one(ip):\\n i,p=ip; m=BudgetMeter()\\n try: pred=sw.run(p['problem'],m); err=''\\n except Exception as e: pred=None; err=type(e).__name__\\n return i,pred,m.calls,m.completion_tokens,err\\nstart=time.time()\\nwith concurrent.futures.ThreadPoolExecutor(max_workers=8) as ex:\\n rows=list(ex.map(one,enumerate(P)))\\nc=0\\nfor i,pred,calls,tok,err in rows:\\n ok=pred==int(P[i]['answer']); c+=ok\\n print(P[i]['id'],'pred',pred,'gold',P[i]['answer'],'OK' if ok else 'X','calls',calls,'tok',tok,err)\\nprint('SUMMARY',c,'/',len(P),'time',round(time.time()-start,1),flush=True)\\nPY\",\"workdir\":\"/app\",\"yield_time_ms\":1000,\"max_output_tokens\":8000,\"tty\":true});\ntext(r.output);\nif (r.session_id) text(`SESSION_ID=${r.session_id}`);\n"
}

{
  "input": "const patch = \"*** Begin Patch\\n*** Update File: /app/methods/main/graph.json\\n@@\\n-   \\\"template\\\": \\\"You are the primary expert AIME solver. Solve the problem independently and exactly. Identify the governing structure, derive the answer rigorously, handle all cases and constraints, and verify the result by substitution or a second calculation. Do not guess. After thinking, give a concise derivation and end with <answer>N</answer> for an integer N from 0 to 999.\\\\n\\\\nProblem: {problem}{context}\\\",\\n+   \\\"template\\\": \\\"You are the primary expert AIME solver. Solve the problem independently and exactly. Identify the governing structure, handle all cases, and verify the result by substitution or a second calculation. Do not guess. After private reasoning, BEGIN the visible response with <answer>N</answer> for N in 0..999, then give a compact checkable derivation; do not repeat exploratory work.\\\\n\\\\nProblem: {problem}{context}\\\",\\n@@\\n-   \\\"template\\\": \\\"Independently solve this AIME problem as a skeptical olympiad contestant. Seek a different representation or method from the obvious approach, explicitly check boundary cases, reversibility, counting multiplicities, and arithmetic. Trust no other proposed answer unless you can verify it. After thinking, give a compact checkable solution and end with <answer>N</answer>.\\\\n\\\\nProblem: {problem}{context}\\\",\\n+   \\\"template\\\": \\\"Independently solve this AIME problem as a skeptical olympiad contestant. Seek a different representation or method from the obvious approach; check boundary cases, reversibility, multiplicities, and arithmetic. Trust no proposed answer unless verified. After private reasoning, BEGIN the visible response with <answer>N</answer>, then give a compact checkable certificate without repeating exploration.\\\\n\\\\nProblem: {problem}{context}\\\",\\n@@\\n-   \\\"template\\\": \\\"Solve this AIME problem using an exact computational or symbolic formulation whenever possible. Translate every condition faithfully; prefer exhaustive integer/rational computation to unsupported intuition. Verify the result mathematically. The LAST fenced Python code block in your entire response must be a self-contained standard-library program needing no input, terminating quickly, and printing only the integer answer; do not put any later code block after it. Also end the visible solution with <answer>N</answer>.\\\\n\\\\nProblem: {problem}{context}\\\",\\n+   \\\"template\\\": \\\"Solve this AIME problem using an exact computational or symbolic formulation whenever possible. Translate every condition faithfully; prefer exhaustive integer/rational computation to intuition and verify the model. After private reasoning, BEGIN the visible response with <answer>N</answer>, then a compact justification. The LAST fenced Python code block in the entire response must be a self-contained standard-library program needing no input, terminating quickly, and printing only N; put no code block after it.\\\\n\\\\nProblem: {problem}{context}\\\",\\n*** End Patch\";\ntext(await tools.apply_patch(patch));\n"
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "85",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "cell_id": "85",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "86",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "87",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "88",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "89",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "90",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "cell_id": "90",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.exec_command({cmd:\"curl -s http://127.0.0.1:8000/metrics | rg '^vllm:num_requests_(running|waiting)|^vllm:generation_tokens_total'\\ncat /workspace/.timer/remaining_secs\",\"workdir\":\"/app\",\"yield_time_ms\":10000,\"max_output_tokens\":2000});\ntext(r.output);\n"
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "92",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "cell_id": "92",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}

{
  "cell_id": "93",
  "yield_time_ms": 10000,
  "max_tokens": 8000
}

{
  "input": "const r = await tools.write_stdin({session_id:71623,chars:\"\",yield_time_ms:30000,max_output_tokens:8000});\ntext(r.output);\n"
}