{"status": "success", "data": {"description_md": "Let $u$ and $v$ be integers satisfying $0 < v < u$. Let $A = (u,v)$, let $B$ be the reflection of $A$ across the line $y = x$, let $C$ be the reflection of $B$ across the y-axis, let $D$ be the reflection of $C$ across the x-axis, and let $E$ be the reflection of $D$ across the y-axis. The area of pentagon $ABCDE$ is $451$. Find $u + v$.\n<br>Leading zeroes must be inputted, so if your answer is `34`, then input `034`\n\n___\n\nFull 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>Let <span class=\"katex--inline\">u</span> and <span class=\"katex--inline\">v</span> be integers satisfying <span class=\"katex--inline\">0 &lt; v &lt; u</span>. Let <span class=\"katex--inline\">A = (u,v)</span>, let <span class=\"katex--inline\">B</span> be the reflection of <span class=\"katex--inline\">A</span> across the line <span class=\"katex--inline\">y = x</span>, let <span class=\"katex--inline\">C</span> be the reflection of <span class=\"katex--inline\">B</span> across the y-axis, let <span class=\"katex--inline\">D</span> be the reflection of <span class=\"katex--inline\">C</span> across the x-axis, and let <span class=\"katex--inline\">E</span> be the reflection of <span class=\"katex--inline\">D</span> across the y-axis. The area of pentagon <span class=\"katex--inline\">ABCDE</span> is <span class=\"katex--inline\">451</span>. Find <span class=\"katex--inline\">u + v</span>.<br/>&#10;<br/>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code></p>&#10;<hr/>&#10;<p>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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2000 AIME I Problem 2", "can_next": true, "can_prev": true, "nxt": "/problem/00_aime_I_p03", "prev": "/problem/00_aime_I_p01"}}