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Subject: Re: Maximum Number of Legal Moves

Author: Dieter Buerssner

Date: 10:14:06 05/09/05

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On May 09, 2005 at 04:09:48, Uri Blass wrote:

>I am sure that it may be possible to reduce the maximal number of 9 queens and a
>computer program can calculate the exact maximal number of squares that 9 queens
>can control by trying all possibilities(replacing a queen by a rook or a bishop
>certainly will not help and you only need to check the possibility of replacing
>a queen by a knight but I think that the 9 additional queen give more than 8
>squares so it is not relevant.

I wrote such a program, and it gave:

http://f11.parsimony.net/forum16635/messages/67915.htm

5 queens 123 moves
6 queens 144 moves
7 queens 163 moves
8 queens 182 moves
9 queens 201 moves

.q......
......q.
....q...
..q.....
q......q
.....q..
...q....
.q......

As you mention, this alone is not enough to reduce the number of moves.

The whole thread might be interesting for those who are interested in this
discussion. There were also 2 positions given with 218 legal moves.

Regards,
Dieter



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