{"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":"6e1ddf6d-0027-500b-b46c-5a0f1b51ff86","task_key":"test--6e1ddf6d-0027-500b-b46c-5a0f1b51ff86","task_revision_id":"1","upstream_id":"","short_description":"Let $\\pi$ be a uniformly random permutation of the set $\\{1,2, \\ldots, 100\\}$.…","config":"","split":"test","body":"{\"problem\":\"Let $\\\\pi$ be a uniformly random permutation of the set $\\\\{1,2, \\\\ldots, 100\\\\}$. The probability that $\\\\pi^{20}(20)=$ 20 and $\\\\pi^{21}(21)=21$ can be expressed as $\\\\frac{a}{b}$, where $a$ and $b$ are relatively prime positive integers. Compute $100 a+b$. (Here, $\\\\pi^{k}$ means $\\\\pi$ iterated $k$ times.)\"}","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":[]}