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Subject: Re: More information + a couple of diagrams

Author: Ricardo Gibert

Date: 19:08:26 10/07/00

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On October 07, 2000 at 15:16:17, Peter McKenzie wrote:

>The position where the solution is most in doubt:
>
>[D]2k2K2/8/pp6/2p5/2P5/PP6/8/8 w - -
>
>The authors say that after 1.Ke8 Kc7 2.Ke7, black draws by 2...b5 with a
>stalemate motif after 3.Ke6 b4 4.a4 Kb6.
>
>Of course white can vary, and they quote: 4.axb4 cxb4 5.Kd5 a5 6.Kc5 a4=
>
>Or: 2.a4 b5 which is supposed to be drawn too.
>
>I haven't checked these lines thoroughly, but quickly playing some of them vs my
>program suggests they are probably correct.  Certainly its possible there is a
>mistake though.
>
>The other controversial positon:
>
>[D]8/1k6/p4p2/2p2P2/p1P2P2/2P5/P1K5/8 w - -
>
>Kc1 is analysed using the 'theory of corresponding squares', something I don't
>really understand :-)  I haven't analysed this one at all, I will just quote the
>main variation:
>
>1.Kc1! Kc7 2.Kd1! Kd7 3.Ke1 Kc7 4.Kf2 Kd8 5.Ke2 Ke8 6.Kd3 Kd7 7.Ke3 Kd6 8.Ke4
>"(forcing the pawn to advance)" a3 9.Kd3 a5 10.Kc2! a4 "The posiiton on the
>Q-side is blocked; a quadratic system with non-ambiguous rear (711) now
>operates."  Go figure!  11.Kc2! Ke7 12.Kd3 Kc6 13.Ke2 Kd6 14.Kf2 Kd7 15.Ke3 Ke7
>16.Kf3 and wins

I played thru this using Fritz4, which instantly returns a draw score upon my
playing 4.Kf2 in the above variation. The line it gives is quite convincing:

1.Kc1 Kc7 2.Kd1 Kd7 3.Ke1 Kc7 4.Kf2? and now 4...a3 5.Ke3 Kb6 6.Kd3 Ka5 7.Ke4
Ka4 8.Kd5 a5, forcing self stalemate. The final position is:

[D]8/8/5p2/p1pK1P2/k1P2P2/p1P5/P7/8 w - - 0 0

So there is no question their analysis is erroneous.


>
>I didn't play thru. that variation, but clearly its at least 31ply and white
>hasn't even captured a pawn yet!  Let me see, finished with white K on f3, so it
>needs another 3 moves at the very least to capture c5 so this problem looks like
>it is at the VERY least 34ply deep and probably more.
>
>cheers,
>Peter



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