{"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":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"c2d7aa14-7459-5586-b2b7-f46373f5bf0e","task_key":"test--c2d7aa14-7459-5586-b2b7-f46373f5bf0e","task_revision_id":"1","upstream_id":"","short_description":"An economist and a statistician play a game on a calculator which does only one","config":"","split":"test","body":"{\"problem\":\"An economist and a statistician play a game on a calculator which does only one\\noperation. The calculator displays only positive integers and it is used in the following\\nway: Denote by $n$ an integer that is shown on the calculator. A person types an integer,\\n$m$, chosen from the set $\\\\{ 1, 2, . . . , 99 \\\\}$ of the first $99$ positive integers, and if $m\\\\%$ of the\\nnumber $n$ is again a positive integer, then the calculator displays $m\\\\%$ of $n$. Otherwise,\\nthe calculator shows an error message and this operation is not allowed. The game consists of doing alternatively these operations and the player that cannot do the operation\\nlooses. How many numbers from $\\\\{1, 2, . . . , 2019\\\\}$ guarantee the winning strategy for the\\nstatistician, who plays second?\\n\\nFor example, if the calculator displays $1200$, the economist can type $50$, giving the number\\n$600$ on the calculator, then the statistician can type $25$ giving the number $150$. Now, for\\ninstance, the economist cannot type $75$ as $75\\\\%$ of $150$ is not a positive integer, but can\\nchoose $40$ and the game continues until one of them cannot type an allowed number\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}