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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.
That's the marvel of sudoku: There's only one solution, but it's hard
to find because you need to make a lot of deductions in order to come up
with the correct numbers. The harder the sudoku is rated, the deeper the
chain of deductions you need.
--
- Warp
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