{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"10300b69-0435-59bf-ad83-4384eb3164c2","task_key":"test--10300b69-0435-59bf-ad83-4384eb3164c2","task_revision_id":"2","upstream_id":"","short_description":"Given positive integers $n, k$ such that $n\\ge 4k$, find the minimal value…","config":"","split":"test","body":"{\"problem\":\"Given positive integers $n, k$ such that $n\\\\ge 4k$, find the minimal value $\\\\lambda=\\\\lambda(n,k)$ such that for any positive reals $a_1,a_2,\\\\ldots,a_n$, we have\\n\\\\[ \\\\sum\\\\limits_{i=1}^{n} {\\\\frac{{a}_{i}}{\\\\sqrt{{a}_{i}^{2}+{a}_{{i}+{1}}^{2}+{\\\\cdots}{{+}}{a}_{{i}{+}{k}}^{2}}}}\\n\\\\le \\\\lambda\\\\]\\nWhere $a_{n+i}=a_i,i=1,2,\\\\ldots,k$\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}