{"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":"a94c04f2-f1f7-521c-a665-d26b4ac90f64","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--2082","task_revision_id":"3","upstream_id":"2082","short_description":"Find the largest possible integer $k$, such that the following statement is…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Numerical\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"Find the largest possible integer $k$, such that the following statement is true:\\n\\nLet 2009 arbitrary non-degenerated triangles be given. In every triangle the three sides are colored, such that one is blue, one is red and one is white. Now, for every color separately, let us sort the lengths of the sides. We obtain\\n\\n$$\\n\\\\begin{aligned}\\nb_{1} \\\\leq b_{2} \\\\leq \\\\ldots \\\\leq b_{2009} & \\\\text { the lengths of the blue sides } \\\\\\\\\\nr_{1} \\\\leq r_{2} \\\\leq \\\\ldots \\\\leq r_{2009} & \\\\text { the lengths of the red sides, } \\\\\\\\\\n\\\\text { and } \\\\quad & w_{1} \\\\leq w_{2} \\\\leq \\\\ldots \\\\leq w_{2009} \\\\quad \\\\text { the lengths of the white sides. }\\n\\\\end{aligned}\\n$$\\n\\nThen there exist $k$ indices $j$ such that we can form a non-degenerated triangle with side lengths $b_{j}, r_{j}, w_{j}$.\",\"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":[]}