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MathNet 2026 — Part 10 Question 180

Math Olympiad Vault · MathNet 2026 — Part 10

Question 180

A $6 \times 6$ square is covered by nonoverlapping dominos ($2 \times 1$ rectangles, placed horizontally or vertically). Prove that there must be a horizontal line or a vertical line that passes through the interior of the big square, but which does not cut the interior of any domino.