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The Knight’s Tour is a classic problem in chess and mathematics that asks whether a knight can move to every square on a chessboard exactly once, following only the knight’s L-shaped moves. Because the knight moves in an unusual pattern—two squares in one direction and one perpendicular—it cannot simply sweep the board row by row like a rook or bishop. This constraint makes the problem surprisingly rich: even though the rules are simple, finding a complete tour requires careful planning. A tour
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