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Subject: Re: A new kind of ply count

Author: Dann Corbit

Date: 11:21:13 06/18/99

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On June 18, 1999 at 09:40:00, William H Rogers wrote:

>On June 17, 1999 at 17:30:00, Dann Corbit wrote:
>
>>We all know that move generators can tell us how many legal moves exist in the
>>first <n> ply if written correctly.  Here is a new kind of question about it:
>>How many "distinct/unique" positions are there in the first n ply?
>>Some answers:
>>
>>Ply:  Number:
>>----  -------
>>0     1
>>1     20
>>2     400
>>3     7,602
>>4     101,236
>>
>>I'm doing ply 5 right now.
>
>Just what exactly is a "distinct/unique" position and what are the proposed
>moves for both sides leading to your numbers.?
Distinct/unique removes all positions that are exact duplicates generated
through a different path.  The normal ply counters just add up all the legal
positions that can be generated.  But I have done a study to find out how many
*different* positions there are.  It is a *lot* less than the set of legal
positions with duplicates, and seems to shrink faster and faster with ply count.



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