How Many Different Sudokus Are There?
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I need some examples of sudokus having more than one solution. Do these puzzles have any common things? The simplest way to make a sudoku with multiple solutions is to find four corners of a rectangle that must have one of two values, as in the example below: The four cells must be filled with 2 and 7, but they can be filled in two ways.
How is the number of bands and stacks unique to Sudoku?
The number of bands and stacks also equals N. The “3×3” Sudoku is additionally unique: N is also the number of row-column-region constraints from the One Rule (i.e. there are N =3 types of units ). A Sudoku whose regions are not (necessarily) square or rectangular is known as a Jigsaw Sudoku.
Is the 9×9 Sudoku puzzle made of square nonominoes?
The classic 9×9 Sudoku is made of square nonominoes. It is possible to apply the rules of Sudoku to puzzles of other sizes, although only N2 × N2 Sudoku puzzles can be tiled with square polyominoes. See the Glossary of Sudoku for an expanded list of variants.