{"status": "success", "data": {"description_md": "Consider the set of all triangles $OPQ$ where $O$ is the origin and $P$ and $Q$ are distinct points in the plane with nonnegative integer coordinates $(x,y)$ such that $41x+y = 2009$. Find the number of such distinct triangles whose area is a positive integer.\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>Consider the set of all triangles <span class=\"katex--inline\">OPQ</span> where <span class=\"katex--inline\">O</span> is the origin and <span class=\"katex--inline\">P</span> and <span class=\"katex--inline\">Q</span> are distinct points in the plane with nonnegative integer coordinates <span class=\"katex--inline\">(x,y)</span> such that <span class=\"katex--inline\">41x+y = 2009</span>. Find the number of such distinct triangles whose area is a positive integer.</p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2009 AIME I Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/09_aime_I_p12", "prev": "/problem/09_aime_I_p10"}}