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Subject: 10 ply from starting position

Author: Richard Bean

Date: 04:52:18 07/13/02


I have calculated the number of nodes at each
depth in the game tree up to ply 10, and the number
of unique nodes at each depth up to ply 8.
Can anybody verify the ply 10 result or
the unique nodes result for depths 6, 7 or 8?  I know the rest are
correct.
depth  nodes          unique nodes
1      20             20
2      400            400
3      8902           5362
4      197281         72078
5      4865609        822518
6      119060324      9417681
7      3195901860     96400068
8      84998978956    988187354
9      2439530234167
10     69353847899771

The reason I differ from Steven Edwards for the number
of unique nodes at ply 6 is that after the moves
1. f4 e6/e5 2. Kf2 Qf6 3. f5 g5, no ep capture is possible,
so I get 2 less unique nodes than him.

I don't think calculating the number of unique nodes
at ply 9 is interesting because I think taking three-move
repetition into account becomes important after 8 ply.
I think the next interesting problem is finding
the shortest stalemate.



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