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Subject: Re: 8 queens problem

Author: Frank Schneider

Date: 22:36:40 01/17/03

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On January 17, 2003 at 23:58:25, Russell Reagan wrote:

>If you were writing a program to solve the 8-queens problem, and your goal was
>speed, would you use "normal" computer chess techniques (like, say, 0x88 or
>bitboards) or would you do something more specific?
>
>For instance, rather than detecting attacks via traditional 0x88 or bitboard
>methods, you could keep track of which ranks and files are already occupied (and
>thus are not candidates for further occupation), and then you could quickly rule
>out large chunks of the board that are not available for a queen. This would
>seem to be much faster than doing a typical "full blown" attack detection.
>
>You could also use a simple pseudo-attack array (easy to create for 0x88 or
>bitboards) and cut out the extra code to determine if a pseudo-attack is a real
>attack, since in this problem, a pseudo-attack means two queens are attacking
>each other somewhere.
>
>I am interested in two things. First, I would be interested in knowing how
>people would approach this problem  (and other "chess-like" problems) where
>traditional computer chess methods will work, but might not necessarily be as
>fast as other methods. Second, I would be interested in knowing of other chess
>problems that are not "game" problems (IE something a typical chess engine can't
>solve, like the 8-queens problem or a knight's tour problem). The knight's tour
>problem seems like another one that fits into this category.
>
>For those who may not know what the 8 queens problem is, it involves finding
>positions using only 8 queens where no queen attacks another queen. You can only
>use queens. So adding pawns to block a queen attack, for example, is not
>allowed.

Hi,

constraint programming is probably the method of choice to solve
this (and similar) problems. A great (but quite scientific) book
is online here:

http://cswww.essex.ac.uk/CSP/papers/Tsang-Fcs1993.pdf/

Frank





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