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Show that any 2n2n chessboard with one corner removed can be tiled using L-shaped pieces, where each piece covers 3 squares at a time. (Hint:

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Show that any 2n2n chessboard with one corner removed can be tiled using L-shaped pieces, where each piece covers 3 squares at a time. (Hint: Think about how to reduce an instance of 2n2n to several instances of 2n12n1.) For example, a 4x4 chessboard with one corner removed can be covered using L-shaped pieces by the following way

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