{"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":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"d7ece99b-b3ef-54d5-b910-ca9c7d4f4add","task_key":"test--d7ece99b-b3ef-54d5-b910-ca9c7d4f4add","task_revision_id":"4","upstream_id":"","short_description":"There are $2022$ equally spaced points on a circular track $\\gamma$ of…","config":"","split":"test","body":"{\"problem\":\"There are $2022$ equally spaced points on a circular track $\\\\gamma$ of circumference $2022$. The points are labeled $A_1, A_2, \\\\ldots, A_{2022}$ in some order, each label used once. Initially, Bunbun the Bunny begins at $A_1$. She hops along $\\\\gamma$ from $A_1$ to $A_2$, then from $A_2$ to $A_3$, until she reaches $A_{2022}$, after which she hops back to $A_1$. When hopping from $P$ to $Q$, she always hops along the shorter of the two arcs $\\\\widehat{PQ}$ of $\\\\gamma$; if $\\\\overline{PQ}$ is a diameter of $\\\\gamma$, she moves along either semicircle.\\n\\nDetermine the maximal possible sum of the lengths of the $2022$ arcs which Bunbun traveled, over all possible labellings of the $2022$ points.\\n\\n[i]Kevin Cong[/i]\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}