{"task": {"agent_timeout": 600, "task": "omnimath_18", "verifier_timeout": 60, "instruction": "# Mathematical Problem\n\nAt a university dinner, there are 2017 mathematicians who each order two distinct entr\u00e9es, with no two mathematicians ordering the same pair of entr\u00e9es. The cost of each entr\u00e9e is equal to the number of mathematicians who ordered it, and the university pays for each mathematician's less expensive entr\u00e9e (ties broken arbitrarily). Over all possible sets of orders, what is the maximum total amount the university could have paid?\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": []}