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Solving a sudoku puzzle with Mathematica

Fred Simons
Journal / Anthology

Mathematica in Education and Research
Year: 2005
Volume: 10
Issue: 4
Page range: 1-24

A typical sudoku puzzle is 99 grid, divided in a square blocks, in which at some positions a number between a and a is filled in. This is an example: We want to fill in the grid so that every row of 9, every column of 9, and every a box each contains all the digits 1 though 9. Equivalently, each digit must appear only once in any given row, column or a box. The sudoku solver I present here is a fast solver. It solves a typical a newspaper problem in a fraction of a second. But it can do more. It can find all solutions of a puzzle or some of them. A good sudoku puzzle has only one solution, but not all sudoku puzzles are in this sense good. Further, it is not restricted to only 99 puzzles. Problems of size 1616 and larger can be tackled as well. It is therefore a flexible solver. It is easy to implement extra rules in the solver and to test their effect on finding the solution.

*Mathematics > Recreational Mathematics