{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"olympiadbench","formal_name":"OlympiadBench","introduction":"数学と物理のオリンピック水準の問題で、科学的推論を評価するベンチマークです。公式紹介では英語・中国語の8,476問を収録し、テキストのみと画像付きの設定を区別します。\n\nOlympiadBench 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"},"task_id":"75b6a76f-714e-58f6-be83-67c04acf1b99","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--2010","task_revision_id":"1","upstream_id":"2010","short_description":"Lucy starts by writing $s$ integer-valued 2022-tuples on a blackboard. After…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Numerical\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"Lucy starts by writing $s$ integer-valued 2022-tuples on a blackboard. After doing that, she can take any two (not necessarily distinct) tuples $\\\\mathbf{v}=\\\\left(v_{1}, \\\\ldots, v_{2022}\\\\right)$ and $\\\\mathbf{w}=\\\\left(w_{1}, \\\\ldots, w_{2022}\\\\right)$ that she has already written, and apply one of the following operations to obtain a new tuple:\\n\\n$$\\n\\\\begin{aligned}\\n& \\\\mathbf{v}+\\\\mathbf{w}=\\\\left(v_{1}+w_{1}, \\\\ldots, v_{2022}+w_{2022}\\\\right) \\\\\\\\\\n& \\\\mathbf{v} \\\\vee \\\\mathbf{w}=\\\\left(\\\\max \\\\left(v_{1}, w_{1}\\\\right), \\\\ldots, \\\\max \\\\left(v_{2022}, w_{2022}\\\\right)\\\\right)\\n\\\\end{aligned}\\n$$\\n\\nand then write this tuple on the blackboard.\\n\\nIt turns out that, in this way, Lucy can write any integer-valued 2022-tuple on the blackboard after finitely many steps. What is the smallest possible number $s$ of tuples that she initially wrote?\",\"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":[]}