KöMaL 2007 B4042
A 2007×2008 chessboard is covered by a few 2×2 and 1×4 dominoes without overlaps. One 2×2 domino of the set of dominoes used is replaced with a 1×4 domino. Prove that it is not possible to cover the chessboard with the modified set.
Official text KöMaL. Quoted with source.
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