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Mutilated Chessboard

Hardlogic

This Hard puzzle in the “logic” category rewards careful reading and step-by-step reasoning. Use the hint if you are stuck, then compare your approach with the explained answer.

You have a standard 8 × 8 chessboard.

Now remove two opposite corner squares.

You are left with 62 squares.

You also have 31 dominoes, and each domino covers exactly 2 adjacent squares.

Can the 31 dominoes cover the entire modified board exactly?

Preparing…