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VTRMC 2004 Problem 4

    A 9×99\times9 chess board has two squares from opposite corners and its central square removed. Is it possible to cover the remaining squares using dominoes, where each domino covers two adjacent squares? Justify your answer.

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Virginia Tech Regional Mathematics Contest 2004 official paper, page 1.

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