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Subject: Re: computer calculations of number of ways to play first 10-ply

Author: blass uri

Date: 22:48:59 07/28/98

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On July 29, 1998 at 00:59:28, Danniel Corbit wrote:

>On July 28, 1998 at 23:07:40, Steven J. Edwards wrote:
>
>>Here are the numbers for trajectory enumerations (distinct legal pathways) for
>>the first few ply depth values:
>>
>>ply: 0   count: 1
>>ply: 1   count: 20
>For the first move for white, there are obviously 20 legal possible moves.
>[pawns up 1 or 2 spaces = 16 + the four knight moves].  So what does the count
>of 1 at ply zero mean?

It means there is only 1 possible game with 0 moves for both sides in the
initial position.

Uri
>
>>ply: 2   count: 400
>>ply: 3   count: 8902
>>ply: 4   count: 197281
>>ply: 5   count: 4865609
>>
>>For ply=6, the number is a little under 120 million and for ply=7 it's about 3.1
>>billion.  I haven't calculated ply=8 yet, but is should be just under 100
>>billion.
>>
>>-- Steven (sje@mv.mv.com)



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