{"task": {"agent_timeout": 3000, "task": "aime_ii-10", "verifier_timeout": 3000, "instruction": "  Solve the following problem. Reason step by step, create the file `/app/answer.txt`, and put your final answer there.\n  Your answer should be a single integer from 1 to 999 inclusive.\n\n    Sixteen chairs are arranged in a row. Eight people each select a chair in which to sit so that no person sits next to two other people. Let $N$ be the number of subsets of the 16 chairs that could be selected. Find the remainder when $N$ is divided by $1000$.\n", "memory": "", "runnable": false, "difficulty": "unknown", "language": "", "cpus": "", "instruction_truncated": false, "category": "reasoning", "compose": false, "has_solution": true, "oracle": null, "docker_image": "", "taskset": "aime", "tags": ["math", "AIME"]}, "runs": []}