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A Sudoku with 18 clues and two-way diagonal symmetry. This section refers to classic Sudoku, disregarding jigsaw, hyper, and other variants. A completed Sudoku grid is a special type of Latin square with the additional property of no repeated values in any of the nine blocks (or boxes of 3×3 cells).
Typical alphabet is the set of the integers {, …,}. The size of the sub-grids limit the size of SUDOKUs to = with . Every solved sudoku and every sub-grid of it is a Latin square, meaning every symbol occurs exactly once in each row and column. At the starting point (in this case after the erasure channel) the puzzle is only partially ...
A Sudoku variant with prime N (7×7) and solution. (with Japanese symbols). Overlapping grids. The classic 9×9 Sudoku format can be generalized to an N×N row-column grid partitioned into N regions, where each of the N rows, columns and regions have N cells and each of the N digits occur once in each row, column or region.
The New York Times Games (NYT Games) is a collection of casual print and online games published by The New York Times, an American newspaper. Originating with the newspaper's crossword puzzle in 1942, NYT Games was officially established on August 21, 2014, with the addition of the Mini Crossword. [1] Most puzzles of The New York Times Games ...
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).
Mathematical context. The general problem of solving Sudoku puzzles on n2 × n2 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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