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Subject: Re: Total of positions of the Checker game - smaller in compared to chess ??

Author: martin fierz

Date: 05:46:46 01/24/01

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On January 24, 2001 at 02:53:55, Uri Blass wrote:

>On January 24, 2001 at 02:14:20, Tania Devora wrote:
>
>>
>>
>>Here are the total number of checker positions sorted according to the number of
>>pieces on the board.

[snip]

>I think that these numbers are not correct and they are only upper bounds.
>
>It is clear that there are many illegal positions that cannot be reached from
>the initial position and it seems that you counted them(otherwise the C vs V
>number seems too big).

these numbers are what jonathan schaeffer quotes in his book 'one jump ahead'.
i think his calculations can be trusted :-)

>It is clear that chess is a more complicated game.
and of course you are completely right here. checkers is close to being solved,
while chess is way out of bounds.

best regards
  martin



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