{"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":"0e028db9-fc29-599c-b313-e9e122dd2bd0","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--1918","task_revision_id":"1","upstream_id":"1918","short_description":"There are 60 empty boxes $B_{1}, \\ldots, B_{60}$ in a row on a table and an…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Numerical\",\"is_multiple_answer\":false,\"language\":\"English\",\"question\":\"There are 60 empty boxes $B_{1}, \\\\ldots, B_{60}$ in a row on a table and an unlimited supply of pebbles. Given a positive integer $n$, Alice and Bob play the following game.\\n\\nIn the first round, Alice takes $n$ pebbles and distributes them into the 60 boxes as she wishes. Each subsequent round consists of two steps:\\n\\n(a) Bob chooses an integer $k$ with $1 \\\\leqslant k \\\\leqslant 59$ and splits the boxes into the two groups $B_{1}, \\\\ldots, B_{k}$ and $B_{k+1}, \\\\ldots, B_{60}$.\\n\\n(b) Alice picks one of these two groups, adds one pebble to each box in that group, and removes one pebble from each box in the other group.\\n\\nBob wins if, at the end of any round, some box contains no pebbles. Find the smallest $n$ such that Alice can prevent Bob from winning.\",\"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":[]}