{"status": "success", "data": {"description_md": "A semicircle with diameter $d$ is contained in a square whose sides have length $8$. Given the maximum value of $d$ is $m- \\sqrt{n}$, find $m+n$.\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": "<p>A semicircle with diameter <span class=\"katex--inline\">d</span> is contained in a square whose sides have length <span class=\"katex--inline\">8</span>. Given the maximum value of <span class=\"katex--inline\">d</span> is <span class=\"katex--inline\">m- \\sqrt{n}</span>, find <span class=\"katex--inline\">m+n</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": "2005 AIME I Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/05_aime_I_p12", "prev": "/problem/05_aime_I_p10"}}