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Subject: Re: Minimum Number of Bytes - encode castling within kings coordinates

Author: Dann Corbit

Date: 12:08:55 12/24/03

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On December 24, 2003 at 14:53:53, Reinhard Scharnagl wrote:

>Hello Dann,
>
>thank you for the illustration. Now I have integrated the possibility of
>encoding the position of kings and castling enabled rooks in one 12 bit
>table, see: [http://www.rescon.de/Compu/schachzahl1_e.html] and following.

This is a very interesting project for me.

It might also be interesting to subtract positions from the maximum possible.

After you have a minimal encoding where you cannot reduce it any further, then
do a calculation to find out how many ways it is possible to have both kings
simultaneously in check.  You can subtract this count from the total.

I think your current board position may be the current record for a hard proof
of the floor of possible board permutations.

If you can encode them all, there cannot possibly be more board positions than
that.



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