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The Knight Comes Home - Math Problems | Repovive

MATH1. The Knight Comes Home Beta

A knight stands on a square of a standard $8 \times 8$ chessboard. In one move, it travels $2$ squares along a row or a column, then $1$ square perpendicular to that direction. Prove that any sequence of moves returning the knight to its starting square has an even number of moves.

Proof

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