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Subject: Re: a "simple" knight ending

Author: Christian Koch

Date: 07:20:25 08/31/05

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On August 31, 2005 at 05:53:26, Vincent Lejeune wrote:

>[d]4K1nk/7p/8/7P/4N3/8/8/8 w - - 0 1
>
>A subtle knight placement, who allow white king a triangulation !
>Hard for null-mover because zugzwang, unless you have the KNPKNP EGTB ;o)

Yace 0.99.87 on AMD XP2000+

         1   0.002   0.61  1t  1.Kd7 {0}
        13   0.004   0.61  1.  1.Kd7 {0}
        22   0.006   0.54  2t  1.Kd7 Kg7 {0}
        76   0.008   0.54  2.  1.Kd7 Kg7 {0}
       108   0.010   0.60  3t  1.Kd7 Kg7 2.Kd6 {0}
       147   0.011   0.60  3.  1.Kd7 Kg7 2.Kd6 {0}
       273   0.015   0.50  4t  1.Kd7 Kg7 2.Ke6 Nh6 {0}
       609   0.054   0.50  4.  1.Kd7 Kg7 2.Ke6 Nh6 {0}
       881   0.073   0.42  5t  1.Kd7 Kg7 2.Ke6 Kh6 3.Ng3 {0}
      1148   0.101   0.45  5t+ 1.Kf7 Ne7 2.Nf6 Nc6 3.h6 {0}
      1245   0.108   0.54  5t  1.Kf7 Nh6+ 2.Ke6 Ng4 3.Nd6 {0}
      1466   0.115   0.54  5.  1.Kf7 Nh6+ 2.Ke6 Ng4 3.Nd6 {0}
      2111   0.122   0.48  6t  1.Kf7 Nh6+ 2.Ke6 Ng4 3.Nd6 Kg7 4.Kd5 {0}
      4071   0.186   0.48  6.  1.Kf7 Nh6+ 2.Ke6 Ng4 3.Nd6 Kg7 4.Kd5 {0}
      5848   0.216   0.44  7t  1.Kf7 Nh6+ 2.Ke6 Ng4 3.Nd6 Kg7 4.Nf5+ Kf8 {0}
      7680   0.411   0.52  7t+ 1.Kf8 h6 2.Kf7 Kh7
      7796   0.420   0.59  7t  1.Kf8 h6 2.Kf7 Kh7 3.Ke6 Kg7 4.Nd6 {0}
      8495   0.423   0.59  7.  1.Kf8 h6 2.Kf7 Kh7 3.Ke6 Kg7 4.Nd6 {0}
      9271   0.478   0.59  8t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ke6 Kg7 {0}
     16371   0.701   0.59  8.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ke6 Kg7 {0}
     17380   0.714   0.60  9t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ke6 Kg7 5.Kd5 {0}
     28889   0.927   0.60  9.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ke6 Kg7 5.Kd5 {0}
     31316   0.971   0.67 10t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8H {0}
     54028   1.270   0.67 10.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8 {0}
     56917   1.307   0.69 11t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8 6.Kd5 {0}
     94571   1.876   0.69 11.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8 6.Kd5 {0}
    101189   1.949   0.63 12t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8 6.Ke5 Kh7 {0}
    170216   2.653   0.63 12.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8 6.Ke5 Kh7 {0}
    177972   2.781   0.66 13t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8 6.Ke5 Kh7 7.Ke4 {0}
    283210   3.804   0.66 13.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Nf5 Kh7 5.Ke6
                               Kh8 6.Ke5 Kh7 7.Ke4 {0}
    318740   4.202   0.61 14t  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7H 5.Ke6H
                               Kg7H 6.Ne3H {0}
    535992   6.481   0.61 14.  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Ke6
                               Kg7 6.Ne3 {0}
    575873   6.662   0.60 15t  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne2 Kh7 7.Ng3 Kh8H 8.Nf5H Kh7H 9.Ke6H
                               Kh8H 10.Ne3H Kh7H 11.Nf5H Kh8H 12.Ne3H Kh7H
                               13.Nf5HR {0}
    908802   8.904   0.60 15.  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne2 Kh7 7.Ng3 Kh8 8.Nf5 Kh7 9.Ke6 Kh8
                               10.Ne3 Kh7 11.Nf5 Kh8 12.Ne3 Kh7 13.Nf5 {0}
    966428   9.463   0.60 16t  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ng6+ Kh7 7.Ne5 Kh8 8.Ke6 Kg7 {0}
   1398224  12.212   0.60 16.  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ng6+ Kh7 7.Ne5 Kh8 8.Ke6 Kg7 {0}
   1471028  12.710   0.67 17t  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne6 Kh7 7.Nd4 Kh8H 8.Ne6H Kh7H 9.Nd8H
                               Kh8H 10.Ne6HR {0}
   2156027  16.014   0.67 17.  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne6 Kh7 7.Nd4 Kh8 8.Ne6 Kh7 9.Nd8 Kh8
                               10.Ne6 {0}
   2280879  16.771   0.67 18t  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne6 Kh7 7.Nd4H Kh8H 8.Ne6H Kh7H 9.Nd4H
                               Kh8H 10.Ne6HR {0}
   3329650  20.589   0.67 18.  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne6 Kh7 7.Nd4 Kh8 8.Ne6 Kh7 9.Nd4 Kh8
                               10.Ne6 {0}
   3500085  21.157   0.67 19t  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne6 Kh7 7.Nd4H Kh8H 8.Nf5H Kh7H 9.Ke6H
                               Kh8H 10.Ke5H Kh7H 11.Nd4H Kh8H 12.Ne6H Ne7H
                               13.Nd4H {HT}
   4958288  25.931   0.67 19.  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ne6 Kh7 7.Nd4 Kh8 8.Nf5 Kh7 9.Ke6 Kh8
                               10.Ke5 Kh7 11.Nd4 Kh8 12.Ne6 Ne7 13.Nd4
   5352619  26.660   0.69 20t  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ng6+ Kh7 7.Nf8+ Kh8H 8.Nd7H Kh7H 9.Kf8H
                               Kh8H 10.Ne5H Kh7H 11.Ng4H Kh8H 12.Ne5H Kh7H
                               13.Ng4H Kh8H 14.Ne5HR {0}
   7601326  32.651   0.69 20.  1.Kf8 h6 2.Kf7 Kh7 3.Nc3 Kh8 4.Nd5 Kh7 5.Nf4
                               Kh8 6.Ng6+ Kh7 7.Nf8+ Kh8 8.Nd7 Kh7 9.Kf8 Kh8
                               10.Ne5 Kh7 11.Ng4 Kh8 12.Ne5 Kh7 13.Ng4 Kh8
                               14.Ne5 {0}
   8083338  33.604  Mat28 21++ 1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd7 Kh7 7.Kd6 Kh8 8.Ke6H Kh7H 9.Kf7H Kh8H
                               10.Nd6H Kh7H 11.Nf5H Kh8H 12.Nh4H Kh7H 13.Ng6H
                               Nf6H 14.Kxf6H {EGTB} 14...Kg8 15.Ne7+ Kh8!
                               16.Nf5 Kh7! 17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4!
                               Kh8 20.Kg6! Kg8 21.h6! Kf8! 22.h7! Ke8
                               23.h8=Q+! Kd7! 24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4!
                               Ke7 27.Nf7 Ke8 28.Qd8#! {1341}
   8896574  34.963  Mat28 21t  1.Kf8 h6 2.Kf7 Kh7H 3.Nd6H Kh8H 4.Ne8H Kh7H
                               5.Ng7H Ne7H 6.Ke6H {HT}
  11945221  40.937  Mat28 21.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ng7
                               Ne7 6.Ke6
  15164016  45.355  Mat28 22t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd7 Kh7 7.Kd6 Kh8 8.Ke6 Kh7H 9.Kf7H Kh8H
                               10.Nd6H Kh7H 11.Nf5H Kh8H 12.Nh4H {HT}
  19561462  52.140  Mat28 22.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd7 Kh7 7.Kd6 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nd6 Kh7 11.Nf5 Kh8 12.Nh4
  26134346  57.978  Mat36 23t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8H 8.Ke6H Kh7H 9.Kf7H
                               Kh8H 10.Nd6H Kh7H 11.Ne4H Kh8H 12.Nc5H Kh7H
                               13.Nd7H {HT}
  37205482  1:09.4  Mat36 23.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nd6 Kh7 11.Ne4 Kh8 12.Nc5 Kh7 13.Nd7
  40695306  1:13.1  Mat32 24t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Na6 Kh8 12.Nb4 Kh7H 13.Nd3H Kh8H
                               {0}
  49002127  1:23.6  Mat32 24.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Na6 Kh8 12.Nb4 Kh7 13.Nd3 Kh8 {0}
  52784598  1:27.8  Mat28 25t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6H 13.Kxf6H
                               {EGTB} 13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4
                               Kh7! 17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8
                               20.Kg6! Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+!
                               Kd7! 24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7
                               Ke8 28.Qd8#! {1341}
  62700099  1:38.5  Mat28 25.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
  67674844  1:42.9  Mat28 26t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
  81659906  1:57.0  Mat28 26.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
  87880240  2:02.1  Mat28 27t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
 105050735  2:18.6  Mat28 27.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
 112421562  2:25.1  Mat28 28t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
 134160205  2:45.1  Mat28 28.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
 142759312  2:52.2  Mat28 29t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
 167075985  3:13.3  Mat28 29.  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}
 177624477  3:22.3  Mat28 30t  1.Kf8 h6 2.Kf7 Kh7 3.Nd6 Kh8 4.Ne8 Kh7 5.Ke6
                               Kh8 6.Kd6 Kh7 7.Kd7 Kh8 8.Ke6 Kh7 9.Kf7 Kh8
                               10.Nc7 Kh7 11.Ne6 Kh8 12.Nf8 Nf6 13.Kxf6 {EGTB}
                               13...Kg8 14.Nd7 Kh8 15.Ne5 Kg8! 16.Ng4 Kh7!
                               17.Kf7! Kh8 18.Nxh6! Kh7 19.Ng4! Kh8 20.Kg6!
                               Kg8 21.h6! Kf8! 22.h7! Ke8 23.h8=Q+! Kd7!
                               24.Qc3! Ke7 25.Ne5 Ke6 26.Qd4! Ke7 27.Nf7 Ke8
                               28.Qd8#! {1341}

best regards,
Christian



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