Puzzle: The Dominos puzzle

There is an 8x8 chess board in which two diagonally opposite corners have been cut off. You are given 31 dominos, and a single domino can cover exactly two squares. Can you use the 31 dominos to cover the entire board? Prove your answer (by providing an example, or showing why is it impossible).

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By  Vineet JhunJhunwala

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