{"status": "success", "data": {"description_md": "Square $ABCD$ is inscribed in a circle. Square $EFGH$ has vertices $E$ and $F$ on $\\overline{CD}$ and vertices $G$ and $H$ on the circle. The ratio of the area of square $EFGH$ to the area of square $ABCD$ can be expressed as $\\frac{m}{n}$ where $m$ and $n$ are relatively prime positive integers and $m<n$. Find $10n+m$.\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>Square <span class=\"katex--inline\">ABCD</span> is inscribed in a circle. Square <span class=\"katex--inline\">EFGH</span> has vertices <span class=\"katex--inline\">E</span> and <span class=\"katex--inline\">F</span> on <span class=\"katex--inline\">\\overline{CD}</span> and vertices <span class=\"katex--inline\">G</span> and <span class=\"katex--inline\">H</span> on the circle. The ratio of the area of square <span class=\"katex--inline\">EFGH</span> to the area of square <span class=\"katex--inline\">ABCD</span> can be expressed as <span class=\"katex--inline\">\\frac{m}{n}</span> where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are relatively prime positive integers and <span class=\"katex--inline\">m&lt;n</span>. Find <span class=\"katex--inline\">10n+m</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": 4, "problem_name": "2001 AIME II Problem 6", "can_next": true, "can_prev": true, "nxt": "/problem/01_aime_II_p07", "prev": "/problem/01_aime_II_p05"}}