{"task": {"agent_timeout": 600, "task": "omnimath_2604", "verifier_timeout": 60, "instruction": "# Mathematical Problem\n\nPaul Erd\u0151s was one of the most prolific mathematicians of all time and was renowned for his many collaborations. The Erd\u0151s number of a mathematician is defined as follows. Erd\u0151s has an Erd\u0151s number of 0, a mathematician who has coauthored a paper with Erd\u0151s has an Erd\u0151s number of 1, a mathematician who has not coauthored a paper with Erd\u0151s, but has coauthored a paper with a mathematician with Erd\u0151s number 1 has an Erd\u0151s number of 2, etc. If no such chain exists between Erd\u0151s and another mathematician, that mathematician has an Erd\u0151s number of infinity. Of the mathematicians with a finite Erd\u0151s number (including those who are no longer alive), what is their average Erd\u0151s number according to the Erd\u0151s Number Project? If the correct answer is $X$ and you write down $A$, your team will receive $\\max (25-\\lfloor 100|X-A|\\rfloor, 0)$ points where $\\lfloor x\\rfloor$ is the largest integer less than or equal to $x$.\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": []}