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Subject: Re: A math problem for the experts....

Author: TEERAPONG TOVIRAT

Date: 17:52:13 10/02/01

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Dear Dr.Hyatt,

I think the number of total _possible_ positions in chess is beyond
the question. However,I'd like to know how they calculate it ?

A few months ago,I tried to work out the number in _checkers_
game. My logical assumption is that if the hash signature is too
small there would be a high incidence of type 1 collision and if
the hash signature is large enough the collision would be 0.
So,my experiment started with 32 bit hash table ,after 1 million
entries are fully occupied I started counting the incidence of
type 1 collision. Each time I got type 1 error,I increase another
bit to the hash table.I saw the incidence is lowered by half too.
Until one point the incidence is zero ,of course after a few
games test.

Could I claim that at that point the hash signature is approximately
equal to the number of legal(possible) positions?

Regards,
Teerapong



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