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Subject: Re: highschool math

Author: Dann Corbit

Date: 12:21:53 01/30/02

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On January 30, 2002 at 08:37:07, Vincent Diepeveen wrote:
>this is dead wrong, because then we can search that entire
>search space without nullmove and with nullmove we do it in
>a few seconds then, yet we do not search it within a few
>seconds.
>
>secondly mirroring reduces position by factor n.
>
>Say n = 2 for pawns ==>  2^250 / 2  =  2^249
>
>The whole problem is that you guys still haven't figured out highschool math!

I talked to Les on the phone to see where he was coming from.  Allow me to
clarify.

You cannot store all of the chess positions in 2^81 bits.  Here is what you can
do:
1.  Take a billion positions and reduce them to 1 billion/40 (or some such
factor).
2.  Store them to disk.
3.  Look them up.

That's it.  Not so bad, really.

For positions which don't have a lot of pieces and for which sliding pieces make
the key move, you may be able to store the entire set to disk in just a few bits
per position, because of the fact that you only store a small subset to disk.

You can't encode "all of chess" in this way and get the same savings.




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