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Subject: Re: 10^120 is the answer regis!

Author: Uri Blass

Date: 11:41:37 12/23/00

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On December 23, 2000 at 12:44:52, Robert Hyatt wrote:

>On December 23, 2000 at 12:25:18, Uri Blass wrote:
>
>>On December 23, 2000 at 09:01:29, Joshua Lee wrote:
>>
>>>this is over a google and even if your program could search at 5 trillion nodes
>>>per second it wouldn't solve chess in your lifetime.
>>>
>>> 64^64 is one number that comes to mind  3.9402006196394479212279040100144e+115
>>
>>The number of leagl positions is clearly smaller than 64^64.
>>
>>I do not understand why do you think about 64^64.
>>
>>Uri
>
>
>I still think 10^120 is a reasonable estimate, because a position  is not just
>made up of the pieces on the board.

In order to find if chess is a win for one side or a draw you need only
tablebases for all the positions in the board when the position is made only of
the pieces on the board.

  It _also_ includes the game history up to
>that position, because of 50 move and repetition considerations.


Repetition consideration is not relevant unless you want to analyze positions
when there is a history of repetition and you need to be careful to avoid a
third repetition.

In other cases if one side can win this side can do it also without repeating
the same position 3 times.

You can ignore the number of plies without captures for playing.

The program can evaluate a position as a draw only if it is a draw assuming that
the last move is a capture.

When the program evaluates a position as a win for one side it can play the move
that reduce the distance for conversion to the minimal value so it will never
miss a win.

Uri



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