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Chess cheating

Posted By: Henrik Bukkjaer
Date: Friday, 14 September 2012, at 6:27 a.m.

In Response To: Chess cheating (DGArnold)

>> They are talking about whole games not single positions

If I understand that correctly, then it makes no sense! The "whole game" number of reachable positions for complexity cannot exceed the number of possible legal positions - by definition of the latter. Contrary the number must be smaller, since there exist a lot of positions where reaching legal position A rules out that you cannot reach legal positions B, C and D.

If the number is to be thought of as a sum of possible positions per move, it's a bogus number (it will include duplicates). For an entire game (not limited to 40 moves), such a number would be infinite for both chess and backgammon.

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