POV-Ray : Newsgroups : povray.off-topic : Sudoku : Re: Sudoku Server Time
6 Sep 2024 09:15:49 EDT (-0400)
  Re: Sudoku  
From: Invisible
Date: 23 Jan 2009 11:01:08
Message: <4979e9c4@news.povray.org>
>> I presume they were talking about the generalised problem of an n^2 x 
>> n^2 grid...
> 
>   Has it been proven that it's possible to create unambiguous sudoku
> problems for all possible values of n?

If the number of unknowns is small enough, it should be possible to make 
it unambiguous. (E.g., if you have a 100 x 100 grid with 1 cell blank, 
how hard can it be to figure out what the final value is?)

>> Even if we assume 9x9, it's interesting to note that in paper the 
>> process is O(1), and yet the amount of time it actually takes me to 
>> solve one appears to be unbounded.
> 
>   It cannot be unbounded because the number of possible permutations is
> fixed.

So there we have it then: An absurdly inefficient algorithm! :-}


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