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Is there an algorithm which can calculate a $9 \times 9$ Sudoku with non-trivial $n$ possible solutions?

So if you play it you can play it for example 4 times? So if you play it there's a choice in which way you solve the Sudoku.

So, for example, we have a row in which it's possible to place two numbers in 2 ways for getting a valid result for the whole Sudoku that would mean you can play it 2 times.

My question is if there's a suitable method for "constructing" this kind of Sudokus?

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  • $\begingroup$ please elaborate $\endgroup$ – JLee Jan 5 '15 at 19:30

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