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Subject: Re: 2 KNIGHTS AND A KING

Author: Bernhard Bauer

Date: 00:09:38 11/11/99

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On November 10, 1999 at 11:36:09, Ricardo Gibert wrote:

>On November 09, 1999 at 22:04:30, Bruce Moreland wrote:
>
>>On November 09, 1999 at 18:42:24, Andrew Dados wrote:
>>
>>>Hello, Scott!
>>> Bad news here: 2 Knignts can not mate lone King... You may have found some
>>>positions where 2 N mate King+Pawn; not sure what is longest mate there, but
>>>there are (KNN vs KP) positions where definetely more then 50 moves without
>>>progress (moving a pawn or capture) is needed. As I remember fide adjusted 50
>>>move rule for this case (and some others) and allows now 150 moves with no
>>>progress for KNN vs KP (correct me if I am wrong here).
>>>
>>>-Andrew-
>>
>>Black king h8, white king h6, white knight f6, white knight h4.  White to move
>>mates in one with Ng6#.
>>
>>It is not a forced mate, because black's previous move must have been Kg8-h8.
>>He simply could have played Kg8-f8 or Kg8-f7 and avoided the mate.
>>
>>bruce
>
>A final position where 2 Ns mate a king _can_ be forced (by transposing KNNK via
>a series of exchanges). I have a recollection of an endgame study by Troitzky
>that ends this way. There also endgame studies where the final position has K+B
>mating K+B, etc. There is a possible bug with many programs that declare such
>endings as draws when a mate in one may still be possible. I believe that Fritz4
>is one program that behaves erratically when cofronted by such examples. There
>are no mate in twos with just KNNK that can be forced of course.

Would you be so kind and post those positions?
I would appreciate to have a look at them.
Kind regards
Bernhard



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