{"status": "success", "data": {"description_md": "In triangle $ABC$, let $D$ be the midpoint of $AB$ and let $M$ be the midpoint of $CD$. Denote $X = \\overline{AM} \\cap \\overline{BC}$ and $Y = \\overline{BM} \\cap \\overline{AC}$. Given that $MA+MB = 2025$, compute $MX+MY$.", "description_html": "<p>In triangle <span class=\"katex--inline\">ABC</span>, let <span class=\"katex--inline\">D</span> be the midpoint of <span class=\"katex--inline\">AB</span> and let <span class=\"katex--inline\">M</span> be the midpoint of <span class=\"katex--inline\">CD</span>. Denote <span class=\"katex--inline\">X = \\overline{AM} \\cap \\overline{BC}</span> and <span class=\"katex--inline\">Y = \\overline{BM} \\cap \\overline{AC}</span>. Given that <span class=\"katex--inline\">MA+MB = 2025</span>, compute <span class=\"katex--inline\">MX+MY</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 6, "problem_name": "Christmas Contest - Team Round - Problem 28", "can_next": true, "can_prev": true, "nxt": "/problem/christmas1_team-p29", "prev": "/problem/christmas1_team-p27"}}