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DE-BUNDESWETTBEWERB 2019 Problem 1

    An 8×88 \times 8 chessboard is covered completely and without overlaps by 3232 dominoes of size 1×21 \times 2 . Show that there are two dominoes forming a 2×22 \times 2 square.

    Dataset text AI-MO AoPS. Quoted with source.

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