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On Mon, 26 Jan 2009 16:30:34 -0500, Warp wrote:
> Jim Henderson <nos### [at] nospam com> wrote:
>> No, it wasn't broken.
>
>> How many different possible solutions are there for filling in a Sudoku
>> if no spaces are filled in? Now fill in 6 of the spaces. How many
>> unique solutions result in numbers in those pre-filled conditions?
>
>> Logically, it *has* to be possible to come up with multiple solutions,
>> otherwise there would only be *one* way to fill in the boxes to start
>> with.
>
> If there were multiple solutions to sudoku puzzles, it would be
> impossible to give an answer, like most sudoku magazines have: The given
> answer would only be *one* of the solutions and wouldn't really help.
Some of the articles I've read have suggested that a puzzle with more
than one solution is generally considered "broken" or "nonstandard".
Nevertheless, those configurations do exist, and in electronic games,
they do turn up.
Jim
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