{"status": "success", "data": {"description_md": "**POTD May 24, 2024**\n\nLet $A$ and $B$ be points at $(0, 3)$ and $(7, 5)$, respectively. Let $P$ be a point on the x-axis such that $AP+BP$ is minimized. If the $x$ coordinate of $P$ can be expressed as $\\frac{m}{n}$, where $m$ and $n$ are relatively prime, positive integers, find $m+n$.", "description_html": "<p><strong>POTD May 24, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">A</span> and <span class=\"katex--inline\">B</span> be points at <span class=\"katex--inline\">(0, 3)</span> and <span class=\"katex--inline\">(7, 5)</span>, respectively. Let <span class=\"katex--inline\">P</span> be a point on the x-axis such that <span class=\"katex--inline\">AP+BP</span> is minimized. If the <span class=\"katex--inline\">x</span> coordinate of <span class=\"katex--inline\">P</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, find <span class=\"katex--inline\">m+n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #166", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}