{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"bd4e6c9f-c3c0-53c2-9b5d-ddea7bbff748","task_key":"test--bd4e6c9f-c3c0-53c2-9b5d-ddea7bbff748","task_revision_id":"1","upstream_id":"","short_description":"Since human bodies are 3-dimensional, if one spectator's position is near…","config":"","split":"test","body":"{\"problem\":\"Since human bodies are 3-dimensional, if one spectator's position is near another spectator's path of view, then the second one's sight will be blocked by the first one. Suppose that for different $i, j$, if the circle centered at $P_{i}$ with radius $\\\\frac{1}{6}$ meter intersects with segment $K P_{j}$, then $A_{j}$ 's sight will be blocked by $A_{i}$, and $A_{j}$ could not see the entire show. Which of the following statement is true? (A) If there were 60 spectators, then some of them could not see the entire show; (B) If there were 60 spectators, then it is possible that all spectators could see the entire show, but if there were 800 spectators, then some of them could not see the entire show; (C) If there were 800 spectators, then it is possible that all spectators could see the entire show, but if there were 10000 spectators, then some of them could not see the entire show; (D) If there were 10000 spectators, then it is possible that all spectators could see the entire show.\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}