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Subject: Re: King, rook pawn and wrong bishop endgames

Author: Uri Blass

Date: 09:40:26 10/19/00

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On October 19, 2000 at 12:26:42, Christophe Theron wrote:

>On October 19, 2000 at 11:10:53, Uri Blass wrote:
>
>>On October 19, 2000 at 09:18:45, Dieter Buerssner wrote:
>>
>>>On October 18, 2000 at 14:14:20, Uri Blass wrote:
>>>
>>>>I can give another rule:
>>>>Blacks draw if it is black to move and the distance between the black king and
>>>>the corner in king moves is smaller than the ditance between the corner and the
>>>>white pieces except the bishop(white king in king moves and white pawn in pawn
>>>>moves)
>>>>
>>>>If it is white to move then use distance-1 instead of distance for white.
>>>
>>>Uri, thank you very much, for giving your rule. Also thanks to all
>>>the other answers to my questions.
>>>
>>>I have made a small experiment. I set up 10000 random positions
>>>with a white pawn on h, the wrong bishop and the kings on two random
>>>legal squares.  Black to move.
>>>Of the 10000 positions, 3716 where draws due to TBs.
>>>I compared the result of your rule, and the result that is returned by TBs. Your
>>>rule had an overall success rate of 90%.
>>>At first sight, this might not look too good, but it will probably be
>>>very good in practical play. I checked some of the positions, where the
>>>"rule" failed. Most positions, where you rule failed, where when it predicted
>>>a loss and the position is draw are trivial, because the Black king can capture
>>>the pawn in the next move. So in a real game, the quiescence search would find
>>>this immediately.
>>>
>>>In a few cases, the pawn can be captured the move after the next move,
>>>and these are of course more dangerous. One example
>>>
>>>[D] 2B5/8/7P/5k2/8/8/3K4/8 b - - 0 0
>>>
>>>But again here, with the help of search, this will be found soon.
>>>
>>>Rarely, your rule predicted a draw, when the position is lost. But here the
>>>success rate of your rule was almost 99%. (In 95 positions, your rule predicted
>>>a wrong draw). One example:
>>>
>>>[D] 5k2/8/7P/8/8/8/B7/6K1 b - - 0 0
>>
>>
>>No my rule does not say that it is a draw because the distance of the king to
>>the corner is equal and not smaller then the distance of the pawn.
>>
>>I guess that in most of the cases when the distance is equal it is a draw but my
>>rule was made to be always correct when it says draw.
>>
>>It is possible to do a rule that is 100% correct when it says win when the other
>>positions can be divided to probably draw and probably win for white but I did
>>not do it.
>>
>>Uri
>
>
>
>Uri, when I think about it, it looks like your rule does not work if white has
>several pawns in the A or H file.
>
>Is it true?

I do not see cases when it does not work and I see a proof that it
works(assuming that I have no logical mistakes).

If you think that my rule is not correct one diagram is enough to prove it.

Uri



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