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Subject: Dead tree branches

Author: Dann Corbit

Date: 11:03:29 06/07/99


Here are two checkmates seen from 3 ply for 4 ply {2 moves}:
rnbqkbnr/pppp1ppp/4p3/8/5PP1/8/PPPPP2P/RNBQKBNR b KQkq g3
rnbqkbnr/pppp1ppp/8/4p3/5PP1/8/PPPPP2P/RNBQKBNR b KQkq g3

And here are some more for seen from 3 ply for 6 ply {3 moves}:
rnbqkbnr/pppp1ppp/4p3/8/5P2/7P/PPPPP1P1/RNBQKBNR b KQkq -
rnbqkbnr/pppp1ppp/4p3/8/5P2/7P/PPPPP1P1/RNBQKBNR b KQkq f3
rnbqkbnr/pppp1ppp/4p3/8/8/5P1P/PPPPP1P1/RNBQKBNR b KQkq -
rnbqkbnr/pppp1ppp/8/4p3/5P2/7P/PPPPP1P1/RNBQKBNR b KQkq -
rnbqkbnr/pppp1ppp/8/4p3/5P2/7P/PPPPP1P1/RNBQKBNR b KQkq f3
rnbqkbnr/pppp1ppp/8/4p3/8/5P1P/PPPPP1P1/RNBQKBNR b KQkq -

It is apparent that these particular formations need no further exploration,
even though white could wiggle out if black were to play stupidly enough.

It seems interesting that this dead brances appear so early.  So I am wondering,
if we keep tracing down branches with perfect play {from a given position
forward the play is perfect -- not necessarily so to get there}, how many moves
will be in the full tree?  Will it contain the vaunted 10^42, something fairly
close to that number, or some tiny subset of that number?



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