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The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.
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Sudoku. Completely fill the 9x9 grid, using the values 1 through 9 only once in each 3x3 section of the puzzle. By Masque Publishing
A typical Sudoku puzzle. A standard Sudoku contains 81 cells, in a 9×9 grid, and has 9 boxes, each box being the intersection of the first, middle, or last 3 rows, and the first, middle, or last 3 columns. Each cell may contain a number from one to nine, and each number can only occur once in each row, column, and box.
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A Sudoku puzzle can be expressed as a graph coloring problem. [31] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The fewest clues possible for a proper Sudoku is 17. [32] Tens of thousands of distinct Sudoku puzzles have only 17 clues. [33]
Put on your Sudoku hat and get ready for a challenging Sudoku puzzle! Skip to main content. Sign in. Mail. 24/7 Help. For premium support please call: 800-290-4726 more ways to ...
The popular Sudoku puzzles are a special case of Latin squares; any solution to a Sudoku puzzle is a Latin square. Sudoku imposes the additional restriction that nine particular 3×3 adjacent subsquares must also contain the digits 1–9 (in the standard version). See also Mathematics of Sudoku. The more recent KenKen and Strimko puzzles are ...