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Subject: Endgame position

Author: Mihaly Szalai

Date: 12:31:58 03/21/05


[D]6k1/p5p1/K6P/8/4p3/4p1p1/4P1P1/8 w - - 0 1

1. h7+!
(1. hxg7? Kf7! 2. Kxa7 Kxg7= {Black gains the opposition and will deny
White access to the key squares e4, e5, and e6.})
1... Kxh7
(1... Kh8 2. Kxa7 Kxh7 3. Kb7 {White controls the opposition and wins as in the
main line.})
2.Kxa7 Kg6 (2... g6 3. Kb6 Kh6 4. Kc6+-)
3. Ka6! {White takes the opposition.} Kg5
4. Ka5 Kg6
(4... Kg4 5. Kb6 Kf4 6. Kc6 Kg4 7. Kd6 Kf5 8. Kd5 {Transposes in main line.})
5. Kb4 {White uses the opposition to gain access to the key squares e4 or e6.}
Kh5 6.
Kb5 Kh4 7. Kc6 Kg5 8. Kc5 Kg6 9. Kd4 Kf5 10. Kd5 {The last zugzwang, White
wins only because it's Black's move. With best play, White wins in the
subsequent positions no matter who is on move. On his next move Black must
either give up e4 or e6, or occupy a coordinate square needed by his king with
the extra g-pawn. For example:} g6 11. Kc5
{Kc6 immediately, allows Black to postpone the inevitable one move.} Kg5 12. Kc6
Kg4 13. Kd6 Kf5 14. Kd5 g5 15. Kc5 Ke5 16. Kc4 Ke6 17. Kd4 Kf5 18. Kd5 g4 19.
Kc4 Kg5 20. Kc5 Kg6 21. Kd4 Kf5 22. Kd5 Kf4 23. Ke6+-

Here is the remarkable output of Yace:

6k1/p5p1/K6P/8/4p3/4p1p1/4P1P1/8 w - -

Engine: Yace Paderborn (256 MB)
by Dieter Buerssner

24/29  0:01   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (800.058) 578

25/29  0:01   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (872.203) 572

25/32  0:01   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (1.044.731) 532

26/32  0:02   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (1.175.895) 529

26/33  0:02   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (1.388.463) 537

27/33  0:02   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (1.554.650) 532

27/34  0:03   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (1.801.317) 552

28/34  0:03   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (2.108.856) 560

28/37  0:04   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (2.382.568) 560

29/37  0:04   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (2.678.114) 577

29/37  0:05   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (2.901.143) 569

30/37  0:06   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (3.716.771) 593

30/37  0:07   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (3.943.326) 537

31/37  0:08   0.00     1.hxg7 Kh7 2.Kxa7 Kxg7 3.Kb6 Kf6
                       4.Kc5 Kg5 5.Kc4 Kg4 6.Kd4 Kf4 7.Kd5 Kf5
                       8.Kd4 Kf4 9.Kd5 Kf5 10.Kd4 Kf4 (4.692.760) 572

31/37  0:08   +0.01++  1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 Kf4 9.Ke6 g6 10.Kf6 g5 11.Ke6 g4
                       12.Kd6 Kf5 13.Kd5 Kf4 14.Ke6 (4.797.364) 572

31.02  0:08   +0.01    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 Kf4 9.Ke6 g6 10.Kf6 g5 11.Ke6 g4
                       12.Kd6 Kf5 13.Kd5 Kg6 14.Ke6 (4.831.854) 574

31/37  0:08   +0.01    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 Kf4 9.Ke6 g6 10.Kf6 g5 11.Ke6 g4
                       12.Kd6 Kf5 13.Kd5 Kg6 14.Ke6 (4.968.387) 580

32/37  0:09   0.00     1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 g6 9.Kc5 Kf4 10.Kd4 g5 11.Kc4 Kf5
                       12.Kd5 g4 13.Kd4 Kg5 14.Kxe4 (5.436.192) 589

32/40  0:11   0.00     1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 g6 9.Kc5 Kf4 10.Kd4 g5 11.Kc4 Kf5
                       12.Kd5 g4 13.Kd4 Kg5 14.Kxe4 (7.180.253) 621

33/40  0:12   +0.01    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 g6 9.Kc5 Kf4 10.Kd6 Kf5 11.Kd5 Kf4
                       12.Ke6 Kg4 13.Ke5 g5 14.Kxe4 (7.684.451) 628

33/40  0:16   +0.01    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 g6 9.Kc5 Kf4 10.Kd6 Kf5 11.Kd5 Kf4
                       12.Ke6 Kg4 13.Ke5 g5 14.Kxe4 (10.836.561) 652

34/40  0:17   +0.01    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 Kf4 9.Ke6 Kg5 10.Ke5 Kg4
                       11.Kxe4 Kg5 12.Kxe3 Kg4 13.Kd3 Kf5
                       14.Kd4 (11.263.642) 648

34/45  0:44   +0.01    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 Kf4 9.Ke6 Kg5 10.Ke5 Kg4
                       11.Kxe4 Kg5 12.Kxe3 Kg4 13.Kd3 Kf5
                       14.Kd4 (34.273.150) 762

35/45  0:45   +0.41++  1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 Kf4 9.Ke6 Kg5 10.Ke5 Kg6
                       11.Kxe4 Kf6 12.Kxe3 Ke6 13.Kd4 Kf6
                       14.e3 (34.762.575) 766

35/45  0:45   +1.41++  1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg4 5.Kb6 Kf5 6.Kb5 Kf4 7.Kc6 Kf5
                       8.Kd5 Kf4 9.Ke6 Kg4 10.Ke5 Kg5
                       11.Kxe4 Kf6 12.Kxe3 Kg6 13.Kd4 Kh5
                       14.Ke4 (34.983.113) 767

35/45  0:46   +6.41++  1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Kf6 5.Kc4 Ke6 6.Kd4 Kd6 7.Kxe4 Kc7
                       8.Kxe3 Kb8 9.Kd4 Ka7 10.e4 Kb6
                       11.Ke5 Kc5 12.Ke6 Kc4 13.e5 Kd3
                       14.Kf5 (35.772.845) 769

35/45  0:52   +6.43    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Ke5 5.Kc4 Kf4 6.Kd4 Kf5 7.Kd5 Kf4
                       8.Ke6 Kg5 9.Ke5 Kg6 10.Kxe4 Kh7
                       11.Kxe3 Kh6 12.Kf3 Kg6 13.Kxg3 Kf5
                       14.Kf3 (41.275.684) 785

35/45  0:57   +6.43    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Ke5 5.Kc4 Kf4 6.Kd4 Kf5 7.Kd5 Kf4
                       8.Ke6 Kg5 9.Ke5 Kg6 10.Kxe4 Kh7
                       11.Kxe3 Kh6 12.Kf3 Kg6 13.Kxg3 Kf5
                       14.Kf3 (45.911.752) 792

36/45  0:58   +6.03--  1.h7+ Kxh7 2.Kb7 Kh6 3.Kc6 Kg5 4.Kd5 Kg4
                       5.Kxe4 a5 6.Kxe3 a4 7.Kd3 a3 8.e4 a2
                       9.e5 a1Q 10.e6 (46.072.211) 793

36/45  0:58   +5.03--  1.h7+ Kxh7 2.Kb7 Kh6 3.Kc6 Kg5 4.Kd5 Kg4
                       5.Kxe4 a5 6.Kxe3 a4 7.Kd3 a3 8.e4 a2
                       9.e5 a1Q 10.e6 (46.303.489) 795

36/45  1:01   +5.03    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg6 5.Kb4 Kf7 6.Kc4 Kf8 7.Kd4 Ke8
                       8.Kxe4 Ke7 9.Kxe3 Kf7 10.Kf3 Kf6
                       11.Kxg3 Ke5 12.Kf3 Kf5 13.g3 Kg5
                       14.e4 (49.241.115) 803

36/45  1:10   +5.03    1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kg6 5.Kb4 Kf7 6.Kc4 Kf8 7.Kd4 Ke8
                       8.Kxe4 Ke7 9.Kxe3 Kf7 10.Kf3 Kf6
                       11.Kxg3 Ke5 12.Kf3 Kf5 13.g3 Kg5
                       14.e4 (59.300.020) 840

37/45  1:10   +5.43++  1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Ke5 5.Kc4 Kd6 6.Kd4 Kc6 7.Kxe4 Kb5
                       8.Kxe3 Ka4 9.Kd3 Ka3 10.e4 Kb2
                       11.Ke3 Kc1 12.Kd4 Kb2 13.e5 Ka2
                       14.Kc5 (59.659.713) 841

37/45  1:12   +6.43++  1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Ke5 5.Kc4 Kd6 6.Kd4 Kc6 7.Kxe4 Kb5
                       8.Kxe3 Ka4 9.Kd3 Ka3 10.e4 Kb2
                       11.Ke3 Kc1 12.Kd4 Kb2 13.e5 Ka2
                       14.Kc5 (61.914.684) 851

37/46  2:25   +11.43++ 1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Ke5 5.Kc4 Kd6 6.Kd4 Kc6 7.Kxe4 Kb5
                       8.Kxe3 Ka4 9.Kd3 Ka3 10.e4 Kb2
                       11.Ke3 Kc1 12.Kd4 g5 13.e5 Kd1 14.e6 (150.760.935) 1037

37/47  3:09   +11.45   1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Kg6 5.Kc6 Kg5 6.Kc5 Kg6 7.Kd4 Kf5
                       8.Kd5 g6 9.Kd4 Kf4 10.Kd5 Kf5 11.Kd4 Kf4
                       12.Kd5 Kf5 (206.566.751) 1089

37/47  3:26   +11.45   1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kf5
                       4.Kb5 Kg6 5.Kc6 Kg5 6.Kc5 Kg6 7.Kd4 Kf5
                       8.Kd5 g6 9.Kd4 Kf4 10.Kd5 Kf5 11.Kd4 Kf4
                       12.Kd5 Kf5 (224.700.583) 1088

38/54  4:04   +11.28   1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kf4 5.Kb6 Kg4 6.Kc6 Kg5 7.Kc5 Kg6
                       8.Kd4 Kf5 9.Kd5 g6 10.Kd4 Kf4 11.Kc4 Kg4
                       12.Kc5 Kg5 13.Kc6 Kg4 14.Kd6 (277.187.442) 1135

38/54  4:29   +11.28   1.h7+ Kxh7 2.Kxa7 Kg6 3.Ka6 Kg5
                       4.Ka5 Kf4 5.Kb6 Kg4 6.Kc6 Kg5 7.Kc5 Kg6
                       8.Kd4 Kf5 9.Kd5 g6 10.Kd4 Kf4 11.Kc4 Kg4
                       12.Kc5 Kg5 13.Kc6 Kg4 14.Kd6 (307.426.295) 1141

39/54  4:55   +11.68++ 1.h7+ Kf8 2.h8Q+ Ke7 (341.763.067) 1155

39/54  4:59   +12.68++ 1.h7+ Kf8 2.h8Q+ Ke7 (346.525.569) 1155

39/54  5:00   +M51++   1.h7+ Kf8 2.h8Q+ Ke7 (346.645.619) 1154

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