Problem

Christmas Contest - Team Round - Problem 28

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 $MX+MY$ .

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Category: Christmas Contest Team Round
Points: 6
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