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Subject: Re: A Pawn Endgame

Author: Daniel Shawul

Date: 20:06:36 12/20/04

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On December 20, 2004 at 07:11:40, Dieter Buerssner wrote:

>On December 20, 2004 at 04:53:42, Peter McKenzie wrote:
>
>>8/p7/7p/4k1p/6PP/P3K3/8/8 w - -
>>
>>White to play and draw.
>>
>>I saw this one in Informator 45 (1988).
>>1.a4 gxh4 2.a5! is the drawing line given.
>>
>>Warp doesn't get it but maybe other programs do.  Tablebases could be a big help
>
>Yace gets it rather fast with or without TBs. with tables:
>
>
>    68707   0.079  -1.25  6.  1.h5 a6 2.Kf3 Kd4 3.Kg3 a5 4.Kf3 Kc3 5.Ke4 Kb3
>                              6.Kd5 Kxa3 {-80}
>    73798   0.084  -1.92  7-- 1.h5 a6 2.Kf3 Kd4 3.Kg2 Ke4 4.Kg3 a5 5.Kg2 Kf4
>                              6.Kf2 Kxg4 7.Ke3 {-80}
>    83820   0.094  -1.96  7t  1.h5 a6 2.Kf3 Kd4 3.a4H a5H 4.Kf2H Kd5H 5.Kg2H
>                              Kd4H 6.Kh3H Kc4H 7.Kg3H Kb3H 8.Kf3H Kxa4H {-80}
>   159774   0.173  -1.94  7t+ 1.a4 gxh4 2.a5 Kd5 3.Kf3 Kc4 4.Kg2 Kd5 5.Kf2 a6
>                              6.Ke3 h3 7.Kf3 Kd4H 8.Kg3H {-80}
>   193641   0.208  -1.07  7t  1.a4 gxh4 2.a5 Ke6 3.Kf2 Kf6 4.a6 Kg7H 5.Kg2H
>                              Kg6H 6.Kh1H Kf6H 7.Kh2H Kg6H 8.Kh3H Kg5H 9.Kh2H
>                              {-80}
>   205223   0.222  -1.07  7.  1.a4 gxh4 2.a5 Ke6 3.Kf2 Kf6 4.a6 Kg7 5.Kg2 Kg6
>                              6.Kh1 Kf6 7.Kh2 Kg6 8.Kh3 Kg5 9.Kh2 {-80}
>   310528   0.333  -0.67  8++ 1.a4 Ke6 2.a5 Ke5 3.Kf3 Kd5 4.Kg2 Ke6 5.Kf3 Kf6
>                              6.Ke3 h5 7.gxh5 Ke7 8.Kd3 g4H 9.h6H Kf6H
>                              10.Ke3H Kf7H 11.Kd3H Ke6H 12.Ke3H Ke5H 13.Kd3H
>                              Ke6H 14.Ke3H Ke5H 15.Kd3H Ke6HR {80}
>   436267   0.460  -0.60  8t  1.a4 gxh4 2.a5 Ke6 3.a6 Kd5 4.Kf3 Ke5H 5.Ke3H
>                              Ke6H 6.Kf2H h5H 7.gxh5H h3H 8.h6H Kd6H 9.h7H
>                              h2H 10.h8=QH h1=QH {0}
>   459204   0.483  -0.60  8.  1.a4 gxh4 2.a5 Ke6 3.a6 Kd5 4.Kf3 Ke5 5.Ke3 Ke6
>                              6.Kf2 h5 7.gxh5 h3 8.h6 Kd6 9.h7 h2 10.h8=Q
>                              h1=Q {0}
>   658225   0.680  -0.20  9++ 1.a4 gxh4 2.a5 Ke6 3.Kf2 Kd5 4.Kg2 h5 5.gxh5
>                              Kc4 6.Kf2 h3 7.a6 Kd4 8.h6 Ke5 9.h7 Kd6
>                              10.h8=QH h2H {HT}
>   710649   0.745   0.00  9t  1.a4 gxh4 2.a5 h3 3.Kf3 a6 4.Kg3 Kd4 5.Kxh3 Ke4
>                              6.Kg3 Ke3 7.Kh3 Kf4 8.Kh4H Ke4H 9.Kg3H Ke3H
>                              10.Kh3H Kf4H 11.Kh4H Ke4H 12.Kg3HR {0}
>   740983   0.780   0.00  9.  1.a4 gxh4 2.a5 h3 3.Kf3 a6 4.Kg3 Kd4 5.Kxh3 Ke4
>                              6.Kg3 Ke3 7.Kh3 Kf4 8.Kh4 Ke4 9.Kg3 Ke3 10.Kh3
>                              Kf4 11.Kh4 Ke4 12.Kg3 {0}
>   959111   1.035   0.00 10t  1.a4 gxh4 2.a5 h3 3.Kf3 a6 4.Kg3 Kd4 5.Kxh3 Ke4
>                              6.Kg3 Ke3 7.Kh3 Kf4 8.Kh4 Ke4 9.Kg3 {0}
>   997226   1.083   0.00 10.  1.a4 gxh4 2.a5 h3 3.Kf3 a6 4.Kg3 Kd4 5.Kxh3 Ke4
>                              6.Kg3 Ke3 7.Kh3 Kf4 8.Kh4 Ke4 9.Kg3 {0}
>
>Without:
>
>    305588   0.279  -1.55  8.  1.hxg5 hxg5 2.a4 a5 3.Kf3 Kd4 4.Ke2 Ke4 5.Kd2
>                               Kf4 6.Kd3 Kxg4 7.Ke4 Kg3 8.Ke5 g4 9.Kf5 Kh4
>                               10.Ke4 g3 11.Kf3 Kh3 {-80}
>    347056   0.315  -1.95  9-- 1.hxg5 hxg5 2.a4 a5 3.Kd3 Kf4 4.Kd4 Kxg4 5.Ke4
>                               Kh4 6.Kd5 g4 7.Kc6 g3 8.Kb6 Kh3 9.Kxa5 g2
>                               10.Kb5 {0}
>    476977   0.433  -2.34  9t  1.hxg5 hxg5 2.a4 a5 3.Kf3 Kd4 4.Ke2 Ke4 5.Kf2
>                               Kf4 6.Kf1 Kxg4 7.Kg2 Kf4 8.Kf2 g4 9.Kg2 g3H
>                               {-80}
>    696894   0.632  -2.33  9t+ 1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.Kxh2
>                               Kxg4 6.a6 h5 7.Kg2 h4 8.Kg1 h3 9.Kh2 Kf3 {-80}
>    832573   0.760  -2.10  9t  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.Kxh2
>                               Kxg4 6.Kg1 h5 7.Kg2 h4 8.a6H h3+H 9.Kh2H Kh4H
>                               {-80}
>    897894   0.821  -2.10  9.  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.Kxh2
>                               Kxg4 6.Kg1 h5 7.Kg2 h4 8.a6 h3+ 9.Kh2 Kh4 {-80}
>   1195413   1.088  -2.34 10t  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.a6 Kxg4
>                               6.Kh1 h5H 7.Kxh2H h4H 8.Kg2H h3+H 9.Kh2H Kh4H
>                               10.Kg1H Kg3H 11.Kh1H Kf4H {-80}
>   1322637   1.203  -2.34 10.  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.a6 Kxg4
>                               6.Kh1 h5 7.Kxh2 h4 8.Kg2 h3+ 9.Kh2 Kh4 10.Kg1
>                               Kg3 11.Kh1 Kf4 {-80}
>   1758591   1.601  -2.45 11t  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.a6 Kxg4
>                               6.Kh1 h5 7.Kxh2 h4 8.Kg2 h3+ 9.Kg1 Kh5 10.Kh1
>                               Kg5 11.Kg1H Kh5H 12.Kh1H Kg5H 13.Kg1H Kh5HR
>                               {-80}
>   1871042   1.699  -2.45 11.  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.a6 Kxg4
>                               6.Kh1 h5 7.Kxh2 h4 8.Kg2 h3+ 9.Kg1 Kh5 10.Kh1
>                               Kg5 11.Kg1 Kh5 12.Kh1 Kg5 13.Kg1 Kh5 {-80}
>   2770681   2.522  -2.46 12t  1.a4 gxh4 2.a5 a6 3.Kf3 Kf6 4.Kg2 Kg5 5.Kh3 h5
>                               6.gxh5 Kxh5 7.Kh2H Kg4H 8.Kg2H Kg5H 9.Kh2H Kf6H
>                               10.Kh3H Kg5H 11.Kh2H Kf6H 12.Kh3H Kg5H 13.Kh2HR
>                               {-80}
>   2914249   2.650  -2.46 12.  1.a4 gxh4 2.a5 a6 3.Kf3 Kf6 4.Kg2 Kg5 5.Kh3 h5
>                               6.gxh5 Kxh5 7.Kh2 Kg4 8.Kg2 Kg5 9.Kh2 Kf6
>                               10.Kh3 Kg5 11.Kh2 Kf6 12.Kh3 Kg5 13.Kh2 {-80}
>   3928550   3.585  -2.39 13t  1.a4 gxh4 2.a5 a6 3.Kf3 Kf6 4.Kg2 Kg5 5.Kh3 h5
>                               6.gxh5 Kxh5 7.Kh2 Kg4 8.Kg2 h3+ 9.Kf2 Kf4
>                               10.Kg1 Kg5 11.Kf2H Kf4H 12.Kg1H Kg5H 13.Kf2H
>                               Kf4HR {-80}
>   4087844   3.729  -2.39 13.  1.a4 gxh4 2.a5 a6 3.Kf3 Kf6 4.Kg2 Kg5 5.Kh3 h5
>                               6.gxh5 Kxh5 7.Kh2 Kg4 8.Kg2 h3+ 9.Kf2 Kf4
>                               10.Kg1 Kg5 11.Kf2 Kf4 12.Kg1 Kg5 13.Kf2 Kf4
>                               {-80}
>   5195139   4.763  -2.09 14t  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.a6H
>                               h1=Q+H 6.Kxh1H Kxg4H 7.Kh2H h5H 8.Kg2H h4H
>                               9.Kh2H Kh5H 10.Kg2H Kg4H 11.Kh2H Kh5H 12.Kg2H
>                               Kg4HR {-80}
>   5370039   4.924  -2.09 14.  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 Kf4 5.a6 h1=Q+
>                               6.Kxh1 Kxg4 7.Kh2 h5 8.Kg2 h4 9.Kh2 Kh5 10.Kg2
>                               Kg4 11.Kh2 Kh5 12.Kg2 Kg4 {-80}
>   7170133   6.609  -1.70 15t  1.a4 gxh4 2.a5 a6 3.Kf3 Ke6 4.Kf2H Kd5H 5.Kg2H
>                               Kc5H 6.Kh2H Kb4H 7.Kh3H Kxa5H 8.Kxh4H Ka4H
>                               9.Kh5H a5H 10.Kxh6H Kb3H 11.Kh7H a4H 12.g5H a3H
>                               13.g6H a2H 14.g7H a1=QH 15.g8=Q+H Kc3H {HT}
>   7375311   6.825  -1.70 15.  1.a4 gxh4 2.a5 a6 3.Kf3 Ke6 4.Kf2 Kd5 5.Kg2 Kc5
>                               6.Kh2 Kb4 7.Kh3 Kxa5 8.Kxh4 Ka4 9.Kh5 a5
>                               10.Kxh6 Kb3 11.Kh7 a4 12.g5 a3 13.g6 a2 14.g7
>                               a1=Q 15.g8=Q+ Kc3
>   9207057   8.537  -1.31 16t  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2H h1=Q+H
>                               5.Kxh1H Kd4H 6.Kg2H a6H 7.Kf2H Kd5H 8.Ke3H Ke5H
>                               9.Kf3H Ke6H 10.Ke4H Kd7H 11.Kd4H Kd8H 12.g5H
>                               h5H 13.Ke4H h4H 14.Ke3H h3H 15.g6H Ke7H 16.g7H
>                               Kf7H 17.Kf3H Ke7H 18.g8=QH h2H {HT}
>   9439437   8.752  -1.31 16.  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 h1=Q+ 5.Kxh1
>                               Kd4 6.Kg2 a6 7.Kf2 Kd5 8.Ke3 Ke5 9.Kf3 Ke6
>                               10.Ke4 Kd7 11.Kd4 Kd8 12.g5 h5 13.Ke4 h4 14.Ke3
>                               h3 15.g6 Ke7 16.g7 Kf7 17.Kf3 Ke7 18.g8=Q h2
>  11772283  10.920  -1.07 17t  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 h1=Q+ 5.Kxh1
>                               Kf4 6.Kg2 Kxg4 7.a6H Kf4H 8.Kh3H Kg5H 9.Kg3H
>                               Kf6H 10.Kh4H Kg7H 11.Kg3H h5H 12.Kh4H Kg6H
>                               13.Kh3H Kf6H 14.Kg3H Kg5H 15.Kh3H Kf6H 16.Kg3H
>                               Kg5H 17.Kh3H Kf6HR {-80}
>  12033482  11.163  -1.07 17.  1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 h1=Q+ 5.Kxh1
>                               Kf4 6.Kg2 Kxg4 7.a6 Kf4 8.Kh3 Kg5 9.Kg3 Kf6
>                               10.Kh4 Kg7 11.Kg3 h5 12.Kh4 Kg6 13.Kh3 Kf6
>                               14.Kg3 Kg5 15.Kh3 Kf6 16.Kg3 Kg5 17.Kh3 Kf6
>                               {-80}
>  14961475  13.945  -0.67 18++ 1.a4 gxh4 2.a5 h3 3.Kf3 h2 4.Kg2 h1=Q+ 5.Kxh1
>                               Kf4 6.Kg2 Ke4 7.a6 Kd4 8.Kh3 Kc5 9.Kg3 Kb5
>                               10.Kf4 Kxa6 11.Kf5 Kb7 12.Kg6 a5 13.Kxh6 a4
>                               14.g5 a3 15.g6 a2 16.g7 a1=R 17.g8=Q Kc6 {501}
>  20273680  19.175  -0.02 18t  1.a4 gxh4 2.a5 Ke6 3.a6 Kf6 4.Ke4H h3H 5.Kf3H
>                               Kg5H 6.Kg3H h2H 7.Kxh2H Kh4H 8.Kg2H Kg5H 9.Kf3H
>                               Kg6H 10.Kf4H Kf7H 11.Kf5H Kg7H 12.g5H h5H
>                               13.Ke4H Kf7H 14.Kf3H Ke6H 15.Kf4H Ke7H 16.Kg3H
>                               Ke6H 17.Kh3H Kf5H 18.Kg3H Ke4H 19.Kf2H h4H
>                               20.g6H h3H 21.g7H h2H 22.Kg2H h1=RH 23.g8=QH
>                               Kd3H {HT}
>  20816255  19.685  -0.02 18.  1.a4 gxh4 2.a5 Ke6 3.a6 Kf6 4.Ke4 h3 5.Kf3 Kg5
>                               6.Kg3 h2 7.Kxh2 Kh4 8.Kg2 Kg5 9.Kf3 Kg6 10.Kf4
>                               Kf7 11.Kf5 Kg7 12.g5 h5 13.Ke4 Kf7 14.Kf3 Ke6
>                               15.Kf4 Ke7 16.Kg3 Ke6 17.Kh3 Kf5 18.Kg3 Ke4
>                               19.Kf2 h4 20.g6 h3 21.g7 h2 22.Kg2 h1=R 23.g8=Q
>                               Kd3
>  28317597  27.140  -0.01 19t  1.a4 gxh4 2.a5 Kd5 3.Kf3 Kc4 4.Kg2H Kb5H 5.Kh3H
>                               Kxa5H 6.Kxh4H Kb4H 7.Kh5H a5H 8.Kxh6H a4H 9.g5H
>                               a3H 10.g6H a2H 11.g7H a1=QH 12.g8=QH Qh1+H
>                               13.Kg7H Kc3H {HT} {0}
>  29288660  28.088  -0.01 19.  1.a4 gxh4 2.a5 Kd5 3.Kf3 Kc4 4.Kg2 Kb5 5.Kh3
>                               Kxa5 6.Kxh4 Kb4 7.Kh5 a5 8.Kxh6 a4 9.g5 a3
>                               10.g6 a2 11.g7 a1=Q 12.g8=Q Qh1+ 13.Kg7 Kc3
>                               14.Qf7H {0}
>  36210888  41.089  -0.02 20t  1.a4 gxh4 2.a5 Kd5 3.Kf3 Kc4 4.Kg2 Kb5 5.Kh3
>                               Kxa5 6.Kxh4 Kb4 7.Kh5 a5 8.Kxh6 a4 9.g5 a3
>                               10.g6 a2 11.g7 a1=Q 12.g8=Q Qh1+ 13.Kg7 Qg2+
>                               14.Kf8 Qe4 15.Qf7H Kc3H {HT} {0}
>  37210287  42.105  -0.02 20.  1.a4 gxh4 2.a5 Kd5 3.Kf3 Kc4 4.Kg2 Kb5 5.Kh3
>                               Kxa5 6.Kxh4 Kb4 7.Kh5 a5 8.Kxh6 a4 9.g5 a3
>                               10.g6 a2 11.g7 a1=Q 12.g8=Q Qh1+ 13.Kg7 Qg2+
>                               14.Kf8 Qe4 15.Qf7 Kc3 {HT} {0}
>  51352663  56.709   0.00 21t  1.a4 gxh4 2.a5 Kd5 3.Kf3 Kc4 4.Kg2 Kb5 5.Kh3
>                               Kxa5 6.Kxh4 Kb4 7.Kh5 a5 8.Kxh6 a4 9.g5 a3
>                               10.g6 a2 11.g7 a1=Q 12.g8=Q Qh1+ 13.Kg7 Qg2+
>                               14.Kf8 Qe4 15.Qf7 Kc3 16.Qd7 Kb3 17.Qc7 {0}
>  54504624  59.904   0.00 21.  1.a4 gxh4 2.a5 Kd5 3.Kf3 Kc4 4.Kg2 Kb5 5.Kh3
>                               Kxa5 6.Kxh4 Kb4 7.Kh5 a5 8.Kxh6 a4 9.g5 a3
>                               10.g6 a2 11.g7 a1=Q 12.g8=Q Qh1+ 13.Kg7 Qg2+
>                               14.Kf8 Qe4 15.Qf7 Kc3 16.Qd7 Kb3 17.Qc7 {0}
>
>Regards,
>Dieter

I am surprised it showed a 0.00. Yace seems very strong in positions
with lots of transpositions. DanChess reaches a depth of 25 but score
is still at -2.4
daniel



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