{"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":"14ac5213-0750-54e2-ab8d-57df286c7eeb","task_key":"test--14ac5213-0750-54e2-ab8d-57df286c7eeb","task_revision_id":"1","upstream_id":"","short_description":"Let $n > k$ be two natural numbers and let $a_1,\\ldots,a_n$ be real numbers in…","config":"","split":"test","body":"{\"problem\":\"Let $n > k$ be two natural numbers and let $a_1,\\\\ldots,a_n$ be real numbers in the open interval $(k-1,k)$. Let $x_1,\\\\ldots,x_n$ be positive reals such that for any subset $I \\\\subset \\\\{1,\\\\ldots,n \\\\}$ satisfying $|I| = k$, one has \\n$$\\\\sum_{i \\\\in I} x_i \\\\leq \\\\sum_{i \\\\in I} a_i.$$\\nFind the largest possible value of $x_1 x_2 \\\\cdots x_n$.\"}","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":[]}