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Subject: Lists of all unique checkmate positions at plies 4,5,6,7 and 8

Author: Richard Bean

Date: 03:09:22 01/14/04


On my webpage I've now linked to all the unique checkmate positions at ply
depths up to 8.  These were used to generate the integer sequence
http://www.research.att.com/projects/OEIS?Anum=A079485

They aren't in EPD format, but you can see the EP and castling data in the last
two columns, so it is not difficult to convert.  The first column is the number
of times that position occurs at that level.

http://www.eskimo.com/~rwb/chess/p4.mates.bz2
http://www.eskimo.com/~rwb/chess/p5.mates.bz2
http://www.eskimo.com/~rwb/chess/p6.mates.bz2 (4k)
http://www.eskimo.com/~rwb/chess/p7.mates.bz2 (100k)
http://www.eskimo.com/~rwb/chess/p8.mates.bz2 (1.1Mb)

Now, is it useful to keep generating these for plies 9 and 10?  I can't think
why, because I'd have to start considering three-fold repetition to make it
meaningful.  I'd be able to solve the famous problem about 5...NxR mate with
grep, but I wouldn't get anywhere near finding the shortest stalemate.  I don't
know what sort of algorithms would be needed to find it.  I'm sure something
quite imaginative would be needed.



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