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Jeffrey A. Young  
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 More options Feb 5 1998, 3:00 am
Newsgroups: rec.games.chess.computer
From: jyo...@ultra0.rdrc.rpi.edu (Jeffrey A. Young)
Date: 1998/02/05
Subject: complete opening tree stats

I've compiled some statistics on the size of a complete
opening tree, and I'm wondering if anyone else has more
information or can point me to published information like
this.  I'm talking about making every legal move at
each ply without pruning and without eliminating
transpositions.

1st ply: size 20
2nd ply: size 400 (growth 20)
3rd ply: size 8902 (growth 22.26), including 12 checks
4th ply: size 197281 (growth 22.16), including 8 mates
5th ply: size 4865609 (growth 24.66), including 347 mates,
  of which 281 are just extensions of 4th-ply mates
  (for the opposite color of course) (= 66 new mates).

Jeff


 
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