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Subject: Re: Is it possible to show all legal 32 piece board positions in 100 bits?

Author: blass uri

Date: 16:39:07 05/28/99

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On May 28, 1999 at 19:22:23, KarinsDad wrote:



<snip>
>>This assumption is not correct but it is close to be correct.
>
>Not really. Only about 1/15th (not 1/16th) of the cases will be legal. The
>reason is that your white square bishop calculations used 36*35/2 instead of
>18*17/2 and your black square bishop calculations used 34*33/2 instead of
>18*17/2.

> You cannot say that there is 36 squares remaining for a white square
>bishop when it can only go on the white squares (approximately 36/2 = 18
>squares).

if you assume 18 white squares then it is 18*17 and not 18*17/2 because the
order is important(in the case of 36*35/2 the order was not important because I
chose 2 bishops with the same colour when the colour of the square was not
important)

Uri



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