{"status": "success", "data": {"description_md": "*This is a user suggested problem. The TopsOJ staff thanks and gives full credit to [AAAAAAAW](https://www.topsoj.com/users/AAAAAAAW/profile) for their contribution.*  \n  \n****\n\nSix random points on the circumference of a circle are labelled $A, B, C, D, E, F$, such that none of the points coincide. Let $ABCD$ form a quadrilateral and $EF$ form a line. The probability of $EF$ being completely outside $ABCD$ can be expressed as $\\frac{m}{n}$ where $m$ and $n$ are relatively prime, positive integers. Compute $n+m$.", "description_html": "<p><em>This is a user suggested problem. The TopsOJ staff thanks and gives full credit to <a href=\"https://www.topsoj.com/users/AAAAAAAW/profile\">AAAAAAAW</a> for their contribution.</em></p>&#10;<hr/>&#10;<p>Six random points on the circumference of a circle are labelled <span class=\"katex--inline\">A, B, C, D, E, F</span>, such that none of the points coincide. Let <span class=\"katex--inline\">ABCD</span> form a quadrilateral and <span class=\"katex--inline\">EF</span> form a line. The probability of <span class=\"katex--inline\">EF</span> being completely outside <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. Compute <span class=\"katex--inline\">n+m</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "The Sigma on the Wall", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}