{"status": "success", "data": {"description_md": "Let $N$ be the number of ways to write $2010$ in the form $$2010 = a_3 \\cdot 10^3 + a_2 \\cdot 10^2 + a_1 \\cdot 10 + a_0, $$where the $a_i$'s are integers, and $0 \\le a_i \\le 99$. An example of such a representation is $1\\cdot10^3 + 3\\cdot10^2 + 67\\cdot10^1 + 40\\cdot10^0$. Find $N$.\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": "

Let N be the number of ways to write 2010 in the form 2010 = a_3 \\cdot 10^3 + a_2 \\cdot 10^2 + a_1 \\cdot 10 + a_0, where the a_i's are integers, and 0 \\le a_i \\le 99. An example of such a representation is 1\\cdot10^3 + 3\\cdot10^2 + 67\\cdot10^1 + 40\\cdot10^0. Find N.

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": 5, "problem_name": "2010 AIME I Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/10_aime_I_p11", "prev": "/problem/10_aime_I_p09"}}