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The 9×9 sliding puzzle, or 80-puzzle, contains eighty numbered tiles and one blank space within a 9×9 grid. The objective is to arrange the tiles in ascending order from left to right and top to bottom, with tile 1 in the top-left corner and the blank in the bottom-right position: Only orthogonal slides into the […]

The 8×8 sliding puzzle, known as the 63-puzzle, consists of sixty-three numbered tiles and one blank space arranged in an 8×8 grid. The goal is to order the tiles in ascending sequence from left to right and top to bottom, with tile 1 in the top-left corner and the blank in the bottom-right position: Only

The 7×7 sliding puzzle, or 48-puzzle, comprises forty-eight numbered tiles and one blank space within a 7×7 grid. The objective is to arrange the tiles in ascending order from left to right and top to bottom, with tile 1 in the top-left corner and the blank in the bottom-right position: Only orthogonal slides into the

The 6×6 sliding puzzle, known as the 35-puzzle, contains thirty-five numbered tiles and one blank space within a 6×6 grid. The objective is to arrange the tiles in ascending order from left to right and top to bottom, with tile 1 in the top-left corner and the blank in the bottom-right position: Movement is restricted

The 5×5 sliding puzzle, or 24-puzzle, consists of twenty-four numbered tiles and one blank space arranged in a 5×5 grid. The goal is to order the tiles in ascending sequence from left to right and top to bottom, with tile 1 in the top-left corner and the blank in the bottom-right position: Only adjacent orthogonal

The 4×4 sliding puzzle, known as the 15-puzzle, comprises fifteen numbered tiles and one blank space within a 4×4 grid. The objective is to arrange the tiles in ascending order from left to right and top to bottom, concluding with tile 1 in the top-left corner and the blank in the bottom-right position. This configuration

The 3×3 sliding puzzle, commonly referred to as the 8-puzzle, consists of eight numbered tiles and one blank space arranged within a 3×3 grid. The objective is to rearrange the tiles into ascending numerical order from left to right and top to bottom, with the blank space positioned in the bottom-right corner. This article provides