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Subject: Re: Googol

Author: Norm Pollock

Date: 19:54:20 03/19/05

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On March 19, 2005 at 13:34:39, William H Rogers wrote:

>There have been a lot of really big numbers quoted for how many moves in a chess
>game. I think the question should be how many legal moves are in a chess game
>and how many lead to a final result. We all know that of the begining moves that
>are possible a large percentage are a waste of time that can lead to a quick
>mate by strong players.
>I think we must wait until a few million more games have been played and then
>compare the results of all of them to get a real idea of how many moves are
>really involved in a chess game.
>Bill

If at each ply of a 120 ply game each player has 30 possible reasonable moves
that do not lead to a quick mate (unless we are at or near the 120th move), then
the number of permutations of possible "reasonable" moves is given by 30^120. A
move that is a waste of time is ok as long as it is not destructive. By
destructive I mean a move that leads to a quick mate or severely weakens one's
game such as giving away a queen without compensation.

Of course not all games are 60 moves and I was only using that as an example.
The point I was hoping to make is that the number of reasonable move
permutations in a typical chess match exceeds 1 googol.



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