{"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":"af0ff7e9-9a8a-54cf-8ade-5b025c37ddd9","task_key":"OE~5fTO~5fmaths~5fen~5fCOMP--train--2336","task_revision_id":"3","upstream_id":"2336","short_description":"Kerry has a list of $n$ integers $a_{1}, a_{2}, \\ldots, a_{n}$ satisfying $a_{1}…","config":"OE_TO_maths_en_COMP","split":"train","body":"{\"answer_type\":\"Tuple\",\"is_multiple_answer\":true,\"language\":\"English\",\"question\":\"Kerry has a list of $n$ integers $a_{1}, a_{2}, \\\\ldots, a_{n}$ satisfying $a_{1} \\\\leq a_{2} \\\\leq \\\\ldots \\\\leq a_{n}$. Kerry calculates the pairwise sums of all $m=\\\\frac{1}{2} n(n-1)$ possible pairs of integers in her list and orders these pairwise sums as $s_{1} \\\\leq s_{2} \\\\leq \\\\ldots \\\\leq s_{m}$. For example, if Kerry's list consists of the three integers $1,2,4$, the three pairwise sums are $3,5,6$.\\n\\n\\nSuppose that $n=4$ and that the 6 pairwise sums are $s_{1}=8, s_{2}=104, s_{3}=106$, $s_{4}=110, s_{5}=112$, and $s_{6}=208$. Determine two possible lists $(a_{1}, a_{2}, a_{3}, a_{4})$ that Kerry could have.\",\"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":[]}