{"status": "success", "data": {"description_md": "Find the number of positive integers $n \\le 600$ whose value can be uniquely determined when the values of $\\left\\lfloor \\frac n4\\right\\rfloor$, $\\left\\lfloor\\frac n5\\right\\rfloor$, and $\\left\\lfloor\\frac n6\\right\\rfloor$ are given, where $\\lfloor x \\rfloor$ denotes the greatest integer less than or equal to the real number $x$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "

Find the number of positive integers n \\le 600 whose value can be uniquely determined when the values of \\left\\lfloor \\frac n4\\right\\rfloor, \\left\\lfloor\\frac n5\\right\\rfloor, and \\left\\lfloor\\frac n6\\right\\rfloor are given, where \\lfloor x \\rfloor denotes the greatest integer less than or equal to the real number x.

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2022 AIME II Problem 8", "can_next": true, "can_prev": true, "nxt": "/problem/22_aime_II_p09", "prev": "/problem/22_aime_II_p07"}}