{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"olympiadbench","formal_name":"OlympiadBench","introduction":"OlympiadBench evaluates scientific reasoning on Olympiad-level mathematics and physics problems. Its official description lists 8,476 English and Chinese problems with separate text-only and multimodal settings.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/OpenBMB/OlympiadBench","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"b63c9ab6-2477-580d-89aa-c1dbb81a700b","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--2045","task_revision_id":"3","upstream_id":"2045","short_description":"A circle $\\omega$ of radius 1 is given. A collection $T$ of triangles is called…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Interval\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"A circle $\\\\omega$ of radius 1 is given. A collection $T$ of triangles is called good, if the following conditions hold:\\n\\n(i) each triangle from $T$ is inscribed in $\\\\omega$;\\n\\n(ii) no two triangles from $T$ have a common interior point.\\n\\nDetermine all positive real numbers $t$ such that, for each positive integer $n$, there exists a good collection of $n$ triangles, each of perimeter greater than $t$.\",\"question_type\":\"Open-ended\",\"subject\":\"Math\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/OpenBMB/OlympiadBench","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}