Sudoku is nowadays probably the most widespread puzzle game in the world. As such, it has an interesting variety of solving techniques, not just with paper and pencil but also with computers. In R, there is even a package, dedicated exclusively to Sudokus. Here is one article discussing, how to develop an algorithm for solving Sudoku:
http://www.r-bloggers.com/a-new-sudoku-solver-in-r-part-1/
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