{"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":"fd087473-d02f-5908-b5aa-03e34f382d37","task_key":"test--fd087473-d02f-5908-b5aa-03e34f382d37","task_revision_id":"1","upstream_id":"","short_description":"Natalie has a copy of the unit interval $[0,1]$ that is colored white. She also…","config":"","split":"test","body":"{\"problem\":\"Natalie has a copy of the unit interval $[0,1]$ that is colored white. She also has a black marker, and she colors the interval in the following manner: at each step, she selects a value $x \\\\in[0,1]$ uniformly at random, and (a) If $x \\\\leq \\\\frac{1}{2}$ she colors the interval $[x, x+\\\\frac{1}{2}]$ with her marker. (b) If $x>\\\\frac{1}{2}$ she colors the intervals $[x, 1]$ and $[0, x-\\\\frac{1}{2}]$ with her marker. What is the expected value of the number of steps Natalie will need to color the entire interval black?\"}","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":[]}