{"task": {"agent_timeout": 600, "task": "omnimath_2129", "verifier_timeout": 60, "instruction": "# Mathematical Problem\n\nLet \\(\\triangle A B C\\) be a right triangle with right angle \\(C\\). Let \\(I\\) be the incenter of \\(A B C\\), and let \\(M\\) lie on \\(A C\\) and \\(N\\) on \\(B C\\), respectively, such that \\(M, I, N\\) are collinear and \\(\\overline{M N}\\) is parallel to \\(A B\\). If \\(A B=36\\) and the perimeter of \\(C M N\\) is 48, find the area of \\(A B C\\).\n\n## Instructions\n\nSolve the mathematical problem above and write your final answer to `/workspace/answer.txt`.\n\n**Important**: Write only your final answer to the file, not the full solution process.\n\n### Guidelines\n\n- Provide your final numerical answer or mathematical expression\n- Write the answer as plain text (no special formatting needed)\n- Be precise and clear in your answer\n- The answer should directly respond to what the problem asks for\n\n### Example\n\nIf the problem asks \"What is 2 + 2?\", your answer file should contain:\n\n```\n4\n```\n\nYour answer will be evaluated against the correct solution using an automated grading system.\n", "memory": "", "runnable": false, "difficulty": "hard", "language": "", "cpus": "", "instruction_truncated": false, "category": "math", "compose": false, "has_solution": true, "oracle": null, "docker_image": "", "taskset": "omnimath", "tags": ["omni-math"]}, "runs": []}