{"status": "success", "data": {"description_md": "**Full credit goes to the staff team at Canada Math for authoring these problems.**\n\nJonas has a square canvas $ABCD$ of side length 1. He draws two points $E$ and $F$ independently and at random such that $AE = BF = 1$. If the probability that segments $AE$ and $BF$ intersect is $\\frac{p}{q}$, where $p$ and $q$ are relatively prime positive integers, find $p+q$.", "description_html": "<p><strong>Full credit goes to the staff team at Canada Math for authoring these problems.</strong></p>&#10;<p>Jonas has a square canvas <span class=\"katex--inline\">ABCD</span> of side length 1. He draws two points <span class=\"katex--inline\">E</span> and <span class=\"katex--inline\">F</span> independently and at random such that <span class=\"katex--inline\">AE = BF = 1</span>. If the probability that segments <span class=\"katex--inline\">AE</span> and <span class=\"katex--inline\">BF</span> intersect is <span class=\"katex--inline\">\\frac{p}{q}</span>, where <span class=\"katex--inline\">p</span> and <span class=\"katex--inline\">q</span> are relatively prime positive integers, find <span class=\"katex--inline\">p+q</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Canada Math Contest #2 - Problem 9", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}