{"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":"bb0a7556-afc0-58af-a590-e621e4e97ecc","task_key":"test--bb0a7556-afc0-58af-a590-e621e4e97ecc","task_revision_id":"1","upstream_id":"","short_description":"Find all integers $n$ for which each cell of $n \\times n$ table can be filled…","config":"","split":"test","body":"{\"problem\":\"Find all integers $n$ for which each cell of $n \\\\times n$ table can be filled with one of the letters $I,M$ and $O$ in such a way that:\\n[LIST]\\n[*] in each row and each column, one third of the entries are $I$, one third are $M$ and one third are $O$; and?[/*]\\n[*]in any diagonal, if the number of entries on the diagonal is a multiple of three, then one third of the entries are $I$, one third are $M$ and one third are $O$.[/*]\\n[/LIST]\\n[b]Note.[/b] The rows and columns of an $n \\\\times n$ table are each labelled $1$ to $n$ in a natural order. Thus each cell corresponds to a pair of positive integer $(i,j)$ with $1 \\\\le i,j \\\\le n$. For $n>1$, the table has $4n-2$ diagonals of two types. A diagonal of first type consists all cells $(i,j)$  for which $i+j$ is a constant, and the diagonal of this second type consists all cells $(i,j)$ for which $i-j$ is constant.\"}","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":[]}