{"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":"2b927459-983d-5498-bd30-45fe68e60a6c","task_key":"test--2b927459-983d-5498-bd30-45fe68e60a6c","task_revision_id":"1","upstream_id":"","short_description":"Given a acute triangle $PA_1B_1$ is inscribed in the circle $\\Gamma$ with radius…","config":"","split":"test","body":"{\"problem\":\"Given a acute triangle $PA_1B_1$ is inscribed in the circle $\\\\Gamma$ with radius $1$. for all  integers $n \\\\ge 1$ are defined:\\n$C_n$ the foot of the perpendicular from $P$ to $A_nB_n$\\n$O_n$ is the center of $\\\\odot (PA_nB_n)$\\n$A_{n+1}$ is the foot of the perpendicular from $C_n$ to $PA_n$\\n$B_{n+1} \\\\equiv PB_n \\\\cap O_nA_{n+1}$\\n\\nIf $PC_1 =\\\\sqrt{2}$, find the length of $PO_{2015}$ \\n\\n[hide=Source]Cono Sur Olympiad - 2015 - Day 1 - Problem 3[/hide]\"}","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":[]}