The chessboard has been the source of all kinds of puzzles that
explored mathematical ideas, ever since it came into use centuries ago. One
that finds its way into virtually every puzzle anthology because of its
apparent difficulty, yet deceptively simple solution, is the following:
If two opposite corners of a checkerboard are removed, can the
checkerboard be covered by dominoes? Assume that the size of each
domino is the size of two adjacent squares of the checkerboard. The
dominoes cannot be placed on top of each other and must lie flat.
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