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Subject: Re: How many 7-man Pawnless endgames?!

Author: Marc Bourzutschky

Date: 17:54:03 10/18/05

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On October 18, 2005 at 20:03:56, Les Fernandez wrote:

>On October 18, 2005 at 12:37:17, Marc Bourzutschky wrote:
>
>>On October 18, 2005 at 11:12:03, GuyHaworth wrote:
>>
>>>
>>>I question your '736'.
>>>
>>>I have:
>>>
>>>  056  6-1 endgames
>>>  140  5-2 endgames
>>>  200  4-3 endgames
>>>  ---
>>>  396  endgames
>>>
>>>... and therefore 792 endgames, if you also count the 3-4, 2-5 and 1-6 endgames.
>>>
>>>Have I gone wrong somewhere?
>>>
>>>g
>>
>>All entries in a 1-N database are trivially either "not-won" or "not-lost", so
>>there is no point in generating it.  If you exclude the 56 1-6 endings from your
>>count you get Yakov's 736.
>>
>>-Marc
>
>Hi Marc,
>
>I agree that from the standpoint of playing chess there is no point in
>generating the 1-6 endings but from my perspective I have been doing a bunch of
>studies on all the end game sets that have been generated so far and it is very
>important for me to get the complete data sets.  I have mentioned to Eugene in
>the past that I would only hope that when he is done with all the 6 piece EGTB's
>if he might consider that 1-5 set and the jury is still out.  I am sure that
>those positions like 1-5 or 1-6 should solve pretty quickly and I would do them
>if I had the extra equipment to do so.
>
>Thanks,
>
>Les

You missed the point here.  The 1-5 and 1-6 databases contain information at
all.  All the information is in the 5-1 and 6-1 databases.

-Marc



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