{"status": "success", "data": {"description_md": "Triangle $ABC_0$ has a right angle at $C_0$. Its side lengths are pairwise relatively prime positive integers, and its perimeter is $p$. Let $C_1$ be the foot of the altitude to $\\overline{AB}$, and for $n\\geq 2$, let $C_n$ be the foot of the altitude to $\\overline{C_{n-2}B}$ in $\\triangle C_{n-2}C_{n-1}B$. The sum $\\sum\\limits_{n=1}^{\\infty}C_{n-1}C_n = 6p$. Find $p$.\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": "

Triangle ABC_0 has a right angle at C_0. Its side lengths are pairwise relatively prime positive integers, and its perimeter is p. Let C_1 be the foot of the altitude to \\overline{AB}, and for n\\geq 2, let C_n be the foot of the altitude to \\overline{C_{n-2}B} in \\triangle C_{n-2}C_{n-1}B. The sum \\sum\\limits_{n=1}^{\\infty}C_{n-1}C_n = 6p. Find p.

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": "2016 AIME II Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/16_aime_II_p06", "prev": "/problem/16_aime_II_p04"}}