{"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":"d82d2c39-6054-5e0b-a7a7-5d3a20aa184a","task_key":"test--d82d2c39-6054-5e0b-a7a7-5d3a20aa184a","task_revision_id":"1","upstream_id":"","short_description":"An infinite sequence $ \\,x_{0},x_{1},x_{2},\\ldots \\,$ of real numbers is said to…","config":"","split":"test","body":"{\"problem\":\"An infinite sequence $ \\\\,x_{0},x_{1},x_{2},\\\\ldots \\\\,$ of real numbers is said to be [b]bounded[/b] if there is a constant $ \\\\,C\\\\,$ such that $ \\\\, \\\\vert x_{i} \\\\vert \\\\leq C\\\\,$ for every $ \\\\,i\\\\geq 0$. Given any real number $ \\\\,a > 1,\\\\,$ construct a bounded infinite sequence $ x_{0},x_{1},x_{2},\\\\ldots \\\\,$ such that\\n\\\\[ \\\\vert x_{i} \\\\minus{} x_{j} \\\\vert \\\\vert i \\\\minus{} j \\\\vert^{a}\\\\geq 1\\n\\\\]\\nfor every pair of distinct nonnegative integers $ i, j$.\"}","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":[]}