{"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":"20e3558a-d196-587f-94d9-6ddd038502a3","task_key":"test--20e3558a-d196-587f-94d9-6ddd038502a3","task_revision_id":"1","upstream_id":"","short_description":"A function $f: \\mathbb{R}\\to \\mathbb{R}$ is $\\textit{essentially increasing}$ if…","config":"","split":"test","body":"{\"problem\":\"A function $f: \\\\mathbb{R}\\\\to \\\\mathbb{R}$ is $\\\\textit{essentially increasing}$ if $f(s)\\\\leq f(t)$ holds whenever $s\\\\leq t$ are real numbers such that $f(s)\\\\neq 0$ and $f(t)\\\\neq 0$ .\\nFind the smallest integer $k$ such that for any 2022 real numbers $x_1,x_2,\\\\ldots , x_{2022},$ there exist $k$ essentially increasing functions $f_1,\\\\ldots, f_k$ such that \\\\[f_1(n) + f_2(n) + \\\\cdots + f_k(n) = x_n\\\\qquad \\\\text{for every } n= 1,2,\\\\ldots 2022.\\\\]\"}","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":[]}