{"status": "success", "data": {"description_md": "Suppose that the measurement of time during the day is converted to the metric system so that each day has $10$ metric hours, and each metric hour has $100$ metric minutes. Digital clocks would then be produced that would read $9{:}99$ just before midnight, $0{:}00$ at midnight, $1{:}25$ at the former $3{:}00$ ${am}$, and $7{:}50$ at the former $6{:}00$ ${pm}$. After the conversion, a person who wanted to wake up at the equivalent of the former $6{:}36$ ${am}$ would have to set his new digital alarm clock for $\\text{A:BC}$, where $\\text{A}$, $\\text{B}$, and $\\text{C}$ are digits. Find $100\\text{A} + 10\\text{B} + \\text{C}$.\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": "

Suppose that the measurement of time during the day is converted to the metric system so that each day has 10 metric hours, and each metric hour has 100 metric minutes. Digital clocks would then be produced that would read 9{:}99 just before midnight, 0{:}00 at midnight, 1{:}25 at the former 3{:}00 {am}, and 7{:}50 at the former 6{:}00 {pm}. After the conversion, a person who wanted to wake up at the equivalent of the former 6{:}36 {am} would have to set his new digital alarm clock for \\text{A:BC}, where \\text{A}, \\text{B}, and \\text{C} are digits. Find 100\\text{A} + 10\\text{B} + \\text{C}.

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": 3, "problem_name": "2013 AIME II Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/13_aime_II_p02", "prev": ""}}