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There are many Sudoku variants, partially characterized by size (N), and the shape of their regions. Unless noted, discussion in this article assumes classic Sudoku, i.e. N=9 (a 9×9 grid and 3×3 regions). A rectangular Sudoku uses rectangular regions of row-column dimension R×C.
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.
Another variant on the logic of the solution is "Clueless Sudoku", in which nine 9×9 Sudoku grids are each placed in a 3×3 array. The center cell in each 3×3 grid of all nine puzzles is left blank and forms a tenth Sudoku puzzle without any cell completed; hence, "clueless". [24] Examples and other variants can be found in the Glossary of ...
The cell values cannot be empty, else the cell grid borders don't show. Use as default. See [[Template: Sudoku 9x9 table]] and [[Template: Sudoku 3x3 table]] for table trivia Modeled after [[Template: 4x4 type square]] Orig: LarryLACa 11/4/05 This comment must cuddle next template call to avoid introducing nl whitespace in output,
Implemented with multiple templates. Call tree order: Template:Sudoku 9x9 grid top wrapper, set defa values Template:Sudoku 9x9 table table with 9 boxes, 81 cells, major grids, outer border]] Template:Sudoku 3x3 box 3x3 box 9 cells Template:Sudoku 3x3 table 3x3 table with 9 cells, int. grids only, no outer border
Each row, column, or block of the Sudoku puzzle forms a clique in the Sudoku graph, whose size equals the number of symbols used to solve the puzzle. A graph coloring of the Sudoku graph using this number of colors (the minimum possible number of colors for this graph) can be interpreted as a solution to the puzzle.
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The constraints of Sudoku codes are non-linear: all symbols within a constraint (row, line, sub-grid) must be different from any other symbol within this constraint. Hence there is no all-zero codeword in Sudoku codes. Sudoku codes can be represented by probabilistic graphical model in which they take the form of a low-density parity-check code ...