MathDB
TOT 1998 Spring OJ2 chess king tours entire 8x8 chessboard

Source:

May 11, 2020
ChessboardcombinatoricsEven

Problem Statement

A chess king tours an entire 8×88\times 8 chess board, visiting each square exactly once and returning at last to his starting position. Prove that he made an even number of diagonal moves.
(V Proizvolov)