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Subject: Re: My weird board representation leads to limit on pieces.

Author: KarinsDad

Date: 15:40:54 07/09/99

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On July 09, 1999 at 16:01:08, Robert Hyatt wrote:

[snip]
>
>Real positions don't matter here... it is "what can the search produce from
>the root to the tips?" that you have to deal with.  _lots_ of strange things
>happen in a full-width search.  While > 8 queens are not likely, I recently
>discovered a bug in my eval that would break if one side had > 4 queens, and
>they were all on the side of the board away from the kings.  And this was in
>a _real_ game position that wasn't made up...

A search will never be able to find a 9 queen position from a real position. It
doesn't matter how far it searches.

From a created position, a 9 queen position could be found in a search.

Having 4 queens is light years away from having 9.

To get to 9 queens in a real game, one side must not capture any pawns or queens
of the opposing side while at the same time, it must give up at least 4 pawns of
it's own. This is forced (basically, read on). Not only that, but the most
connected pawns that the side that is giving up the minimum of 4 pawns can have
is 2 (for all intents and purposes unless the "winning side" captures a lot of
pawns and pieces with it's pawns to shift the promotion locations). It is real
hard (i.e. impossible) to protect your king when the opposing side is a computer
program and it is starting to acquire more and more queens and the most pawns
that you can have in front of your king is 2 and those pawns cannot be a/b pawns
or g/h pawns.

Also, out of the 8 additional queens, 2 must be promoted on the a or b file, 2
must be promoted on the c or d file, 2 must be promoted on the e or f file, and
2 must be promoted on the g or h file. So, it will be impossible for the king to
hide on any of those files. Now, granted, this assumes that the 8 pawns did not
take a bunch of pawns/pieces and move over more than 1 file each. But if that is
done, then there are even fewer pawns/pieces to protect the king that is trying
to hide from this increasing number of enemy queens.

It's exponential. The more queens one side gets, the fewer pawns/pieces the
enemy has and the higher the probability of mate. The more enemy pieces allowed
to be captured in order to allow the enemy king to have a pawn fortress around
him, the fewer pieces the enemy has to protect.

And, the more positive the score, the more likely the computer is to trade off
pieces in order to take advantage of that positive score.

It is extremely unlikely (probably impossible) that you could play against a
program (no matter how you played) and the program (assuming a decent program)
could even get 7 queens (i.e. 6 promotion files out of 8) in it's search before
finding better mating lines. 9 queens is definitely impossible (assuming a
program of at least a decent search capability).

KarinsDad :)



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