{"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":"0c045671-fbe8-5ee7-8b03-ed87a8f43027","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--1920","task_revision_id":"1","upstream_id":"1920","short_description":"For any two different real numbers $x$ and $y$, we define $D(x, y)$ to be the…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Expression\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"For any two different real numbers $x$ and $y$, we define $D(x, y)$ to be the unique integer $d$ satisfying $2^{d} \\\\leqslant|x-y|<2^{d+1}$. Given a set of reals $\\\\mathcal{F}$, and an element $x \\\\in \\\\mathcal{F}$, we say that the scales of $x$ in $\\\\mathcal{F}$ are the values of $D(x, y)$ for $y \\\\in \\\\mathcal{F}$ with $x \\\\neq y$.\\n\\nLet $k$ be a given positive integer. Suppose that each member $x$ of $\\\\mathcal{F}$ has at most $k$ different scales in $\\\\mathcal{F}$ (note that these scales may depend on $x$ ). What is the maximum possible size of $\\\\mathcal{F}$ ?\",\"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":[]}