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Subject: Re: Funny endgame

Author: Rafael Andrist

Date: 13:51:38 09/02/01

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On September 02, 2001 at 14:24:32, Bruce Moreland wrote:

>If it's black to move, does any program try 1. ... b3?  All of my computers are
>busy, so I can't tell.  I don't know if this wins, but it is clearly the only
>try.
>

[D]8/p7/1p2k1p1/8/1p2p1Pp/3pP2P/PP6/5K2 b - - 0 1

According to my own programme "Wilhelm", b3 is winning:
(CPU: P2-400, Hash: 24 MB)
1 ply 	d3-d2	N:       14 	Q:        0 	H:        0 	Wert:    -3.27

	d3-d2

2 ply 	d3-d2	N:       62 	Q:       24 	H:       14 	Wert:    -3.22

	d3-d2 Kf1-e2

3 ply 	Ke6-d5	N:      428 	Q:       62 	H:      173 	Wert:    -2.99

	Ke6-d5 Kf1-e1 a7-a6

4 ply 	a7-a6	N:     1076 	Q:       70 	H:      525 	Wert:    -2.97

	a7-a6 Kf1-e1 Ke6-d5 Ke1-d2

5 ply 	Ke6-d5	N:     2689 	Q:      264 	H:     1519 	Wert:    -2.98

	Ke6-d5 Kf1-e1 b6-b5 Ke1-d2 a7-a5

6 ply 	b6-b5	N:     6137 	Q:      377 	H:     3658 	Wert:    -2.98

	b6-b5 Kf1-e1 a7-a5 Ke1-d2 g6-g5 Kd2-e1

7 ply 	Ke6-e5	N:    12911 	Q:      542 	H:     8422 	Wert:    -2.99

	Ke6-e5 Kf1-e1 a7-a6 Ke1-d2 g6-g5 Kd2-e1 Ke5-d5

8 ply 	Ke6-e5	N:    29614 	Q:     1278 	H:    19625 	Wert:    -2.98

	Ke6-e5 Kf1-e1 a7-a6 Ke1-d2 g6-g5 Kd2-e1 Ke5-d5 Ke1-f2

9 ply 	g6-g5	N:    57818 	Q:     2360 	H:    40874 	Wert:    -3.00

	g6-g5 Kf1-e1 b6-b5 Ke1-d1 a7-a6 Kd1-e1 a6-a5 Ke1-d2 Ke6-d5

10 ply 	Ke6-e5	N:   105121 	Q:     3712 	H:    78273 	Wert:    -3.00

	Ke6-e5 Kf1-e1 b6-b5 Ke1-d2 g6-g5 Kd2-d1 a7-a5 Kd1-e1 Ke5-e6 Ke1-d2

11 ply 	Ke6-e5	N:   175751 	Q:     5560 	H:   135723 	Wert:    -3.00

	Ke6-e5 Kf1-e1 b6-b5 Ke1-d2 g6-g5 Kd2-d1 a7-a5 Kd1-e1 Ke5-e6 Ke1-d2 Ke6-d5

12 ply 	Ke6-e5	N:   312737 	Q:     9782 	H:   246583 	Wert:    -3.00

	Ke6-e5 Kf1-e1 a7-a6 Ke1-d1 g6-g5 Kd1-e1 Ke5-d6 Ke1-d1 Kd6-d5 Kd1-e1 b6-b5
Ke1-d2

13 ply 	Ke6-e5	N:   435203 	Q:    13429 	H:   349883 	Wert:    -3.00

	Ke6-e5 Kf1-e1 a7-a6 Ke1-d1 g6-g5 Kd1-e1 Ke5-d6 Ke1-d1 Kd6-d5 Kd1-e1 b6-b5
Ke1-d2 Kd5-e6

14 ply 	b4-b3	N:   809247 	Q:    28430 	H:   613738 	Wert:    -3.06

	b4-b3 a2-a3 b6-b5 Kf1-e1 Ke6-d5 Ke1-d2 b5-b4 a3xb4 Kd5-c4 b4-b5 Kc4xb5 Kd2-c3
Kb5-a4 g4-g5

15 ply 	b4-b3	N:  1128635 	Q:    43708 	H:   865644 	Wert:    -3.16

	b4-b3 a2-a3 b6-b5 Kf1-e1 Ke6-d5 Ke1-d2 Kd5-c4 Kd2-d1 b5-b4 a3xb4 Kc4xb4 Kd1-e1
Kb4-c4 Ke1-d2 Kc4-d5

16 ply 	b4-b3	N:  1751054 	Q:    76415 	H:  1315834 	Wert:    -3.19

	b4-b3 a2-a3 b6-b5 Kf1-e1 Ke6-d5 Ke1-d2 Kd5-c4 Kd2-d1 b5-b4 a3xb4 g6-g5 Kd1-e1
Kc4xb4 Ke1-d2 Kb4-c4 Kd2-e1

17 ply 	b4-b3	N:  3311981 	Q:   178878 	H:  2440209 	Wert:    -4.78

	b4-b3 a2-a4 a7-a5 Kf1-e1 Ke6-d5 Ke1-d2 Kd5-c4 Kd2-d1 b6-b5 a4xb5 Kc4xb5 g4-g5
a5-a4 Kd1-e1 Kb5-b4 Ke1-d2 a4-a3

Tiefe V:          	       17 ply; Tiefe N:          	       27 ply; Tiefe Q:
     	       29 ply; Alpha-Cutoffs     	  2383029; Beta-Cutoffs      	  3377683;
Nullmove-Cutoffs  	    99.08 %; Hash: Store       	  1732129; Hash: Acc +
	  7873241; Hash: Acc -       	   964948; Hash: Zug gut     	  2938902; Knoten
N:         	  9134080; Knoten Q:         	   216138; Knoten total:
9350218; Gegenfeldsysteme: 	      540; Verbrauchte Zeit: 	      240 sec;
Geschwindigkeit: 	    38959 nod/sec;


>Can you or someone else run Fine 70 for me with these programs and report the
>results?  I'm interested that Fritz is getting so deep in this pawn ending, and
>I wonder if it can find this.

[D]8/k/3p/p2P1p/P2P1P/16/K w - - 0 1

Wilhelm reaches only ply 29 (in 198 sec):
1 ply 	Ka1-b1	N:        4 	Q:        0 	H:        0 	Wert:     1.75

	Ka1-b1

2 ply 	Ka1-b1	N:       19 	Q:        0 	H:        4 	Wert:     1.76

	Ka1-b1 Ka7-b7

3 ply 	Ka1-b1	N:       56 	Q:        0 	H:       19 	Wert:     1.77

	Ka1-b1 Ka7-b7 Kb1-c1

4 ply 	Ka1-b1	N:      136 	Q:        0 	H:       69 	Wert:     1.78

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7

5 ply 	Ka1-b1	N:      305 	Q:        0 	H:      188 	Wert:     1.79

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1

6 ply 	Ka1-b1	N:      596 	Q:        0 	H:      422 	Wert:     1.80

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7

7 ply 	Ka1-b1	N:      982 	Q:        0 	H:      767 	Wert:     1.81

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2

8 ply 	Ka1-b1	N:     1455 	Q:        0 	H:     1204 	Wert:     1.84

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-d8

9 ply 	Ka1-b1	N:     2062 	Q:        0 	H:     1768 	Wert:     1.84

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2

10 ply 	Ka1-b1	N:     2769 	Q:        0 	H:     2427 	Wert:     1.84

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b7

11 ply 	Ka1-b1	N:     4378 	Q:        0 	H:     3938 	Wert:     1.85

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b7 Kd2-c3

12 ply 	Ka1-b1	N:     5498 	Q:        0 	H:     4969 	Wert:     1.86

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b7 Kd2-c3
Kb7-b6

13 ply 	Ka1-b1	N:     6848 	Q:        0 	H:     6214 	Wert:     1.87

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b7 Kd2-c3
Kb7-b6 Kc3-d2

14 ply 	Ka1-b1	N:    12505 	Q:        8 	H:    11594 	Wert:     1.88

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b8 Kd2-e3
Kb8-c7 Ke3-d3 Kc7-c8

15 ply 	Ka1-b1	N:    16447 	Q:        8 	H:    15344 	Wert:     1.89

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b8 Kd2-e3
Kb8-c7 Ke3-d3 Kc7-c8 Kd3-d2

16 ply 	Ka1-b1	N:    23014 	Q:        8 	H:    21577 	Wert:     1.90

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b8 Kd2-e3
Kb8-c7 Ke3-d3 Kc7-c8 Kd3-d2 Kc8-b8

17 ply 	Ka1-b1	N:    41983 	Q:       22 	H:    39166 	Wert:     1.91

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-e7 Kc2-d3 Ke7-f6 Kd3-c4
Kf6-g6 Kc4-b5 Kg6-h5 Kb5-c6 Kh5-g4 Kc6xd6

18 ply 	Ka1-b1	N:    44606 	Q:       62 	H:    41545 	Wert:     1.91

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-e7 Kc2-d3 Ke7-f6 Kd3-c4
Kf6-g6 Kc4-b5 Kg6-h5 Kb5-c6 Kh5-g4 Kc6xd6 Kg4xf4

19 ply 	Ka1-b1	N:   102846 	Q:       63 	H:    95759 	Wert:     1.81

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-e7 Kc2-d3 Ke7-f6 Kd3-c4
Kf6-g6 Kc4-b5 Kg6-h5 Kb5xa5 Kh5-g4 Ka5-b5 Kg4xf4 a4-a5

20 ply 	Ka1-b1	N:   178907 	Q:       66 	H:   166349 	Wert:     1.79

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-e7 Kc2-d3 Ke7-f6 Kd3-c4
Kf6-g6 Kc4-b5 Kg6-h5 Kb5xa5 Kh5-g4 Ka5-b5 Kg4xf4 a4-a5 Kf4-e4

21 ply 	Ka1-b1	N:   314052 	Q:       74 	H:   290651 	Wert:     1.48

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-e7 Kc2-d3 Ke7-f6 Kd3-c4
Kf6-g6 Kc4-b5 Kg6-h5 Kb5xa5 Kh5-g4 Ka5-b5 Kg4xf4 Kb5-c6 Kf4-e4 Kc6xd6

22 ply 	Ka1-b1	N:   503455 	Q:      432 	H:   476742 	Wert:     1.98

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-b8 Kd2-e3
Kb8-c7 Ke3-d3 Kc7-b7 Kd3-e3 Kb7-c7 Ke3-d3 Kc7-b7 Kd3-e3 Kb7-c7 Ke3-d3 Kc7-b7

23 ply 	Ka1-b1	N:   559152 	Q:     4141 	H:   529541 	Wert:     1.89

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-e7 Kc2-d3 Ke7-f6 Kd3-c4
Kf6-g6 Kc4-b5 Kg6-h5 Kb5xa5 Kh5-g4 Ka5-b5 Kg4xf4 a4-a5 Kf4-e4 Kb5-c4 f5-f4 a5-a6

24 ply 	Ka1-b1	N:  1255377 	Q:     7666 	H:  1207302 	Wert:     2.43

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-d8 Kc2-c3 Kd8-e7 Kc3-c4
Ke7-f6 Kc4-b5 Kf6-g6 Kb5-c6 Kg6-h5 Kc6xd6 Kh5-h4 Kd6-e6 Kh4-g4 d5-d6 Kg4xf4
Ke6-d5 Kf4-e3

25 ply 	Ka1-b1	N:  1647284 	Q:    12923 	H:  1584838 	Wert:     2.43

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-d8 Kc2-c3 Kd8-c7 Kc3-d3
Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7 Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7
Kc3-d3 Kc7-c8 Kd3-d2

26 ply 	Ka1-b1	N:  1794652 	Q:    15250 	H:  1728626 	Wert:     2.43

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-d8 Kc2-c3 Kd8-c7 Kc3-d3
Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7 Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7
Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7

27 ply 	Ka1-b1	N:  2073466 	Q:    19247 	H:  1998103 	Wert:     2.45

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-d8 Kc2-c3 Kd8-c7 Kc3-d3
Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7 Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7
Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3

28 ply 	Ka1-b1	N:  2486750 	Q:    34625 	H:  2402516 	Wert:     2.45

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-d8 Kc2-c3 Kd8-c7 Kc3-d3
Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7 Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7
Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7

29 ply 	Ka1-b1	N:  8651563 	Q:    91858 	H:  8530187 	Wert:     2.45

	Ka1-b1 Ka7-b7 Kb1-c1 Kb7-c7 Kc1-d1 Kc7-d7 Kd1-c2 Kd7-c8 Kc2-d2 Kc8-d7 Kd2-c3
Kd7-c7 Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3 Kd7-c7 Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7
Kd2-c3 Kd7-c7 Kc3-d3 Kc7-c8 Kd3-d2 Kc8-d7 Kd2-c3

Tiefe V:          	       29 ply; Tiefe N:          	       39 ply; Tiefe Q:
     	       40 ply; Alpha-Cutoffs     	  1325425; Beta-Cutoffs      	  2508660;
Nullmove-Cutoffs  	     0.00 %; Hash: Store       	    74170; Hash: Acc +
	  8530187; Hash: Acc -       	    22810; Hash: Zug gut     	  3428287; Knoten
N:         	  8651563; Knoten Q:         	    91858; Knoten total:
8743421; Gegenfeldsysteme: 	       76; Verbrauchte Zeit: 	      198 sec;
Geschwindigkeit: 	    44158 nod/sec;


Rafael B. Andrist




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