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Subject: Count of positions and encoding

Author: Randall Shane

Date: 15:39:34 06/28/99


I hope somebody knows the answer to this -- or can point me where to look.

Like KarinsDad (and others), I'm trying to come up with an mimimal encoding
method for chess positions. What's the best known upper limit on the number of
unique positions (counting e.p., side-to-move, and castling status)?

I figured out/proved for myself a upper bound of 2**151 -- and I think 2**149
can be proved as well.  There's an enumeration/encoding method associated with
it, but it's uglier than sin.  How far off of 'best known' is that?

Thanks!



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