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Subject: Re: Re KRPKBP

Author: Dieter Buerssner

Date: 08:48:07 11/22/04

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On November 22, 2004 at 08:56:43, Heiner Marxen wrote:

>On November 22, 2004 at 05:49:05, Laurens Winkelhagen wrote:
>
>>Because there is a difference between the white and black side, it makes a
>>difference which side mates. The above score tells us that the biggest maxDTM is
>>when the white (KRP) is to move and to win.
>>    wtw btw
>>wtm 166 103
>>btm 153 104
>>
>>It seems logical that if black (KBP) is to win, then the mate should be shorter,
>>because one may not give white a chance to take the pawn with the rook.
>>Obviously this is easier when the pawn is closer to promotion.
>>
>>One puzzling thing left is that it makes a big difference for white to mate if
>>black is to move or white is. One would expect only a difference of 1, not of
>>13. It probably has something to do with going over into a different tablebase?
>
>I would think, that positions, where wtm/wtw has a large DTM, it is so hard
>to win, that loosing the right to move, also gives up the wtw property.
>So, for large DTM changing wtm/wtw to btm does not yield a btm/wtw position.

I think Laurens is right. There is one position, where white (=RP side) has the
right to move, and announces mate in 166. Now he moves. Assume it is neither a
capture nor a promotion. So still KRPKBP and btm, value of the pos: mated in
165. But this is not in the table above (or in the values given by Guy). So we
should be able to conclude: the first move must either be promotion or capture.
I can easily check the capture thesis: KRPKB btm: Max is lost in 73; KRPKP btm:
Max is lost in 66. I don't have the values of promotion tables, but from common
sense it looks strange. If white promotes (probably to queen), and black doesn't
very soon, it should be a much faster mate - not? If black does promote too
rather soon, we have KQRKQB. Here longest black loss is in 89. So, what is the
first move?

Perhaps I am missing something obvious ...

Regards,
Dieter



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