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Subject: Re: A question about a specific 8 man tablebase (correction)

Author: Robert Hyatt

Date: 10:32:43 11/13/01

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On November 13, 2001 at 13:03:55, Tony Werten wrote:

>On November 13, 2001 at 10:19:46, Robert Hyatt wrote:
>
>>On November 13, 2001 at 05:16:10, Tony Werten wrote:
>>
>>>On November 13, 2001 at 03:22:13, derrick gatewood wrote:
>>>
>>>>How much time and space would it take to compile the tablebase for an endgame
>>>>where each side had 3 pawns?  would this be possible or it simple to large?  It
>>>>seems like it would be so large since pawns dont have much movement.  Has this
>>>>already been performed so I dont have to waste my time?  The "Little Game" as it
>>>>is called on chess.net is my nemesis and I really want to figure out this game
>>>>and that tablebase would be all I would need to study it in depth.  Thank you..
>>>>as far as time goes,  my system is 1.575 ghz athlon,  with 512 megs of PC2100
>>>>ram
>>>
>>>Simple math suggests that the table should have 443,247,013,440 entries
>>>(excluding ep-rights). With 1 byte per position, your memory seems to be less
>>>than a factor 1000 off.
>>>
>>>Tony
>>
>>
>>It is worse than that.  The file will have roughly 2^48 _entries_ 8 pieces
>>with 64 squares each. that is 262 terrabytes.  Actually 262 trillion entries
>>of probably at least two bytes each, so 512 terrabytes roughly.
>
>6 pawns have less positions than 64, the 3 pawns each cannot have different
>order (pawn on a2,b2=b2,a2), kings have 1806.
>
>So total number is 1806*(48!/(45!*3!))*(45!/(3!*42!))=443247013440

48 is not correct for enpassant.  replace by 56.  Then those will not be 8-bit
values, so you go over a terrabyte for that one file.

>
>Of course the problem of not having subsets stays.
>
>Tony
>
>
>>
>>Pretty big.  :)



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