{"status": "success", "data": {"description_md": "The two squares shown share the same center $O$ and have sides of length 1. The length of $\\overline{AB}$ is $43/99$ and the area of octagon $ABCDEFGH$ is $m/n,$ where $m$ and $n$ are relatively prime positive integers. Find $m+n.$<br>$\\includegraphics[width=126, height=126, totalheight=126]{https://latex.artofproblemsolving.com/0/8/4/0841b03d776d5b7b346a0dda47a304e1d8b30359.png}$\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>The two squares shown share the same center <span class=\"katex--inline\">O</span> and have sides of length 1. The length of <span class=\"katex--inline\">\\overline{AB}</span> is <span class=\"katex--inline\">43/99</span> and the area of octagon <span class=\"katex--inline\">ABCDEFGH</span> is <span class=\"katex--inline\">m/n,</span> where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are relatively prime positive integers. Find <span class=\"katex--inline\">m+n.</span><br/><img src=\"https://latex.artofproblemsolving.com/0/8/4/0841b03d776d5b7b346a0dda47a304e1d8b30359.png\" width=\"126\" height=\"126\" class=\"problem-image\"/></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": 3, "problem_name": "1999 AIME Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/99_aime_p05", "prev": "/problem/99_aime_p03"}}