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Subject: Re: 3.70..*10^46 is the upper bound

Author: blass uri

Date: 12:31:08 07/13/99

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On July 13, 1999 at 14:53:58, KarinsDad wrote:

<snipped>
>Uri,
>
>Well, I am still having problems understanding your concept of good vs. bad
>pawns, but I guess that it is just a different paradigm.

you can call it in a different name if you want.
The definition is clear.

I decided to use the name good pawns because bad pawns are not passed pawns and
have no chance to promote before they become passed pawns.

I know that good pawns are also sometimes not passed pawns but at least they
have sometimes chance to promote.

I thought that is logical to think that you get promotion only if your behavior
is good  so it seems reasonable for me to define good pawns as promoted
pawns,some pawns that made the step to become a passed pawns to help them to
promote.

I defined also good pawns as 2 or more pawns in the same file even if they are
not passed pawns.
I know that they are not close to promotion but I see nothing wrong with it
because I thought only that you must be good to get promotion and I did not say
that it is enough.


 I do understand the
>statement you made above here and how it applies to the i/j comparison in your
>program (and how the comparison works and that it is correct), so I guess that's
>the important thing.
>
>So, if I got it correctly, 3.70^46 is the upper bound so far.
>
>The placement of the kings is not 64 x 63 = 4032 possibilities, but rather 4 x
>60 + 24 x 59 + 26 x 55 = 3086 possibilities. I did not see where you segregated
>the kings out so that illegal possitions of one king in the square next to the
>enemy king would be eliminated. So, the upper bound should change to 3.70^46 *
>3086 / 4032 = 2.83^46.

The problem is that I started with putting the pawns in the board
so not all the possibilities for putting  the kings have the same probability.

If I start with putting the kings then I have to look at some cases(no king is
in the 48 squares for pawns,one king is in thess squares,2 kings are in these
squares).

I know that my upper bound can be improved.

Uri



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