{"status": "success", "data": {"description_md": "Find the number of functions $f(x)$ from $\\{1,2,3,4,5\\}$ to $\\{1,2,3,4,5\\}$ that satisfy $f(f(x)) = f(f(f(x)))$ for all $x$ in $\\{1,2,3,4,5\\}$.\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": "<p>Find the number of functions <span class=\"katex--inline\">f(x)</span> from <span class=\"katex--inline\">\\{1,2,3,4,5\\}</span> to <span class=\"katex--inline\">\\{1,2,3,4,5\\}</span> that satisfy <span class=\"katex--inline\">f(f(x)) = f(f(f(x)))</span> for all <span class=\"katex--inline\">x</span> in <span class=\"katex--inline\">\\{1,2,3,4,5\\}</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2018 AIME II Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/18_aime_II_p11", "prev": "/problem/18_aime_II_p09"}}