{"task": {"agent_timeout": 600, "task": "omnimath_4231", "verifier_timeout": 60, "instruction": "# Mathematical Problem\n\nLet $n$ be a given positive integer. \nA restaurant offers a choice of $n$ starters, $n$ main dishes, $n$ desserts and $n$ wines. \nA merry company dines at the restaurant, with each guest choosing a starter, a main dish, a dessert and a wine.  \nNo two people place exactly the same order. \nIt turns out that there is no collection of $n$ guests such that their orders coincide in three of these aspects, \nbut in the fourth one they all differ. (For example, there are no $n$ people that order exactly the same three courses of food, but $n$ different wines.) What is the maximal number of guests?\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": []}