Hello to everybody:
Yesterday I played a LTC game (30' + 30"/move) at LiChess, although both my opponent and me spent little time to reach this position IIRC:
[d]8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - - 0 1
I was black (so, I was a pawn up) and had something like 37 minutes on the clock; my opponent had around 32 minutes. He/she offered a draw and I accepted... my endgame skills are limited, my playing style is dull and I am not ambitious at chess.
But today, giving short tries to some top engines, their evals were between -0.56 (Houdini 1.5a at depth 24/47, suggesting ..., Bd8) and -1.49 (SF 2.2.2 at depth 31/49, suggesting ..., g6). The end of the suggested mainlines by Critter 1.4, Deep Rybka 4.1, Houdini 1.5a, Komodo 3, Quazar 0.4 and SF 2.2.2 are not clear to me (only seeing the new positions, without analysing with engines), from my patzer POV.
Then, I tried the extreme cases (less eval and greater eval):
This position is reached by the last mainline that SF 2.2.2 calculated:
[d]8/8/2k2p1p/1pPpP2P/1P6/8/2K5/8 b - - 0 1
And then, SF evaluates it as -1.73 at depth 33/53 (obviously suggesting ..., PxP). But the passed pawns of both sides prevent both kings of make progressions.
-----------------------
This position is reached by the last mainline that Houdini 1.5a calculated:
[d]8/6p1/1bk2p1p/1p1ppP2/1P1P2P1/1NK4P/8/8 b - - 0 1
And then, Houdini evaluates it as -0.68 at depth 28/52 (suggesting ..., e4). The position is still unclear to me, there is like no real progress can be made.
So, the initial position should be a draw or a win by black? Please post about this endgame.
I am not an expert on computer chess, but I think that engines sometimes have problems in some endgames... maybe also here? I hope this position will be enjoyable for players and useful for programmers.
Regards from Spain.
Ajedrecista.
Unclear N+5P vs. B+6P endgame.
Moderators: hgm, Rebel, chrisw
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Ajedrecista
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rodolfoleoni
- Posts: 263
- Joined: Mon Nov 29, 2010 9:16 pm
Re: Unclear N+5P vs. B+6P endgame.
Pure instinct move from last diagram.... Bxd4+. (Instead of e4 suggested by Houdini). Black should win the pawn ending. If white doesn't take the bishop, then... You'll be 2 pawns ahead.
Rodolfo (The Baron Team)
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kgburcham
- Posts: 2016
- Joined: Sun Feb 17, 2008 4:19 pm
Re: Unclear N+5P vs. B+6P endgame.
[D] 8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - -
38.07 -1.75 1...g6 2.Kf2 h6 3.Ke3 g5 4.f5 exf5 5.gxf5 Bd6 6.Kf3 h5 7.Ke3 Be7 8.Kf3 Ke8 9.Kg3 Bd6+ 10.Kf3 Kf7 11.Kg2 g4 12.h4 Ke7 13.Kf2 Bc7 14.Ne1 Bf4
38.07 -1.75 1...g6 2.Kf2 h6 3.Ke3 g5 4.f5 exf5 5.gxf5 Bd6 6.Kf3 h5 7.Ke3 Be7 8.Kf3 Ke8 9.Kg3 Bd6+ 10.Kf3 Kf7 11.Kg2 g4 12.h4 Ke7 13.Kf2 Bc7 14.Ne1 Bf4
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Jack Lad
- Posts: 8557
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- Location: UK
Re: Unclear N+5P vs. B+6P endgame.
With an extra pawn black almost certainly has a won game here starting with Bd6.
Now cracks a noble heart.—Good night, sweet Princess, And flights of angels sing thee to thy rest!
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Andre
- Posts: 98
- Joined: Thu Jul 23, 2009 5:40 am
Re: Unclear N+5P vs. B+6P endgame.
[d]8/6p1/1bk2p1p/1p1ppP2/1P1P2P1/1NK4P/8/8 b - - 0 1 [/d]
Don't think you can win this 1... Bxd4+ 2.Nxd4 exd4 3.Kxd4 Kd6 4.h4 would be draw as White replies Kd4 when Black King comes to d6 (after the waiting move h4 if necessary and having Black to play = mutual zugzwang).
In the diagram position if h6 pawn was on h4 then it's another story because White doesn't have waiting moves.
White could have tried 3.Kd3 (instead of taking d4 pawn) but Black replies ...Kc7 2.Kxd4 and Kd6 Zugzwang
Don't think you can win this 1... Bxd4+ 2.Nxd4 exd4 3.Kxd4 Kd6 4.h4 would be draw as White replies Kd4 when Black King comes to d6 (after the waiting move h4 if necessary and having Black to play = mutual zugzwang).
In the diagram position if h6 pawn was on h4 then it's another story because White doesn't have waiting moves.
White could have tried 3.Kd3 (instead of taking d4 pawn) but Black replies ...Kc7 2.Kxd4 and Kd6 Zugzwang
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Eelco de Groot
- Posts: 4567
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Re: Unclear N+5P vs. B+6P endgame.
This is the evaluation of Rainbow Serpent. Unlike the other programs, it does not seem to want to risk changing the pawnstructure / make pawn moves. The eval is good for black but as only one pawn is moved in the line I looked at (iteration 41 but it is still the same at iteration 43) and the pieces only take slightly better positions defending their pawns, I think Rainbow Serpent thinks it is a plus draw for black.
The program thinks it is important for the bishop to protect squares in fron of its pawns, squares that could become weak, for instance if the pawn gets backward, no defending pawns alongside. That is an extra measure to try to keep pawns on the color opposite of the bishop, and that is I think why it does not budge from square d6
the combined penalties for becoming a weak bishop are not really tuned though and may be a bit high. But anyway if it saw progress in moving the pawn structure it would probably do that if it could create some breakthrough. But there is not much information on what position(s) actually get rewarded with the high +2.20 score.
Eelco
8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - -
Engine: Rainbow Serpent 2.2.4 Build 071 (512 MB)
by Tord Romstad, Marco Costalba and Joona Kiiski
17/20 0:00 +1.49 1...Bd6 2.Kf3 Kc6 3.Ke3 Kc7 4.Kf2 Kb6
5.Ke3 Kc6 6.Ke2 Kb6 7.Ke3 (853.783) 2108
.
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.
32/77 6:43 +1.98 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd7
5.Kc3 (1.455.313.512) 3605
33/77 7:22 +2.07++ 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd7
5.Kc3 (1.600.079.276) 3615
33/77 8:14 +2.13 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd8
5.Ke2 Ke7 6.Ke3 Bc7 7.Ne1 Kd6 8.Kd2 Kd7
9.Ke3 Kd8 10.h4 Kd7 11.h5 Kc6 12.Nd3 Bb6
13.g5 Kd6 14.g6 hxg6 (1.785.096.806) 3609
34/77 8:39 +2.13 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd8
5.Ke2 Ke7 6.Ke3 (1.876.688.063) 3614
35/77 10:49 +2.16 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd8
5.Kc2 (2.356.249.591) 3627
36/77 12:18 +2.24++ 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 h6
5.h4 Kd7 6.Ke3 Kc6 7.Kf3 Kd7 8.Ke3 (2.690.622.839) 3642
36/77 15:04 +2.30 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 h6
5.h4 Kd7 6.Ke3 Ke8 7.Kd2 Kf7 8.Ke3 Kg6
9.Kf3 h5 10.Kg3 hxg4 11.Kxg4 Kh6
12.Kf3 Kh5 13.Kg3 Bc7 14.Nc5 e5 (3.332.572.122) 3684
37/83 37:38 +2.19 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Kf2 Bb6
5.Ke3 Bc7 (8.586.935.800) 3801
38/83 45:26 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.Kg3 (10.274.167.114) 3768
39/83 47:39 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 14.Ke3 g6 (10.767.825.205) 3765
40/83 49:03 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 14.Ke3 g6 (11.074.878.679) 3762
41/83 55:46 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 [D]8/3k2pp/3bpp2/1p1p4/1P1P1PPP/5K2/2N5/8 w
(12.822.249.792) 3831
42/83 65:26 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 (15.061.628.263) 3835
43/83 70:35 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 14.Ke3 Kc6 (16.273.703.613) 3841
The program thinks it is important for the bishop to protect squares in fron of its pawns, squares that could become weak, for instance if the pawn gets backward, no defending pawns alongside. That is an extra measure to try to keep pawns on the color opposite of the bishop, and that is I think why it does not budge from square d6
the combined penalties for becoming a weak bishop are not really tuned though and may be a bit high. But anyway if it saw progress in moving the pawn structure it would probably do that if it could create some breakthrough. But there is not much information on what position(s) actually get rewarded with the high +2.20 score.Eelco
8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - -
Engine: Rainbow Serpent 2.2.4 Build 071 (512 MB)
by Tord Romstad, Marco Costalba and Joona Kiiski
17/20 0:00 +1.49 1...Bd6 2.Kf3 Kc6 3.Ke3 Kc7 4.Kf2 Kb6
5.Ke3 Kc6 6.Ke2 Kb6 7.Ke3 (853.783) 2108
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.
32/77 6:43 +1.98 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd7
5.Kc3 (1.455.313.512) 3605
33/77 7:22 +2.07++ 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd7
5.Kc3 (1.600.079.276) 3615
33/77 8:14 +2.13 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd8
5.Ke2 Ke7 6.Ke3 Bc7 7.Ne1 Kd6 8.Kd2 Kd7
9.Ke3 Kd8 10.h4 Kd7 11.h5 Kc6 12.Nd3 Bb6
13.g5 Kd6 14.g6 hxg6 (1.785.096.806) 3609
34/77 8:39 +2.13 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd8
5.Ke2 Ke7 6.Ke3 (1.876.688.063) 3614
35/77 10:49 +2.16 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 Kd8
5.Kc2 (2.356.249.591) 3627
36/77 12:18 +2.24++ 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 h6
5.h4 Kd7 6.Ke3 Kc6 7.Kf3 Kd7 8.Ke3 (2.690.622.839) 3642
36/77 15:04 +2.30 1...Bd6 2.Kd2 Kc6 3.Kc3 Kc7 4.Kd2 h6
5.h4 Kd7 6.Ke3 Ke8 7.Kd2 Kf7 8.Ke3 Kg6
9.Kf3 h5 10.Kg3 hxg4 11.Kxg4 Kh6
12.Kf3 Kh5 13.Kg3 Bc7 14.Nc5 e5 (3.332.572.122) 3684
37/83 37:38 +2.19 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Kf2 Bb6
5.Ke3 Bc7 (8.586.935.800) 3801
38/83 45:26 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.Kg3 (10.274.167.114) 3768
39/83 47:39 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 14.Ke3 g6 (10.767.825.205) 3765
40/83 49:03 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 14.Ke3 g6 (11.074.878.679) 3762
41/83 55:46 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 [D]8/3k2pp/3bpp2/1p1p4/1P1P1PPP/5K2/2N5/8 w
(12.822.249.792) 3831
42/83 65:26 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 (15.061.628.263) 3835
43/83 70:35 +2.20 1...Bd6 2.Kd2 Kc6 3.Ke3 Bc7 4.Ne1 Kd6
5.Nc2 Kd7 6.Kf3 Kd8 7.Na3 Bd6 8.Nc2 Kc7
9.Ke3 Kc6 10.Kf3 Kd7 11.Ke3 Ke7
12.Kf3 Kd8 13.h4 Kd7 14.Ke3 Kc6 (16.273.703.613) 3841
Debugging is twice as hard as writing the code in the first
place. Therefore, if you write the code as cleverly as possible, you
are, by definition, not smart enough to debug it.
-- Brian W. Kernighan
place. Therefore, if you write the code as cleverly as possible, you
are, by definition, not smart enough to debug it.
-- Brian W. Kernighan
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rbarreira
- Posts: 900
- Joined: Tue Apr 27, 2010 3:48 pm
Re: Unclear N+5P vs. B+6P endgame.
FWIW I had a fairly old version of Stockfish play this out at 5 min / 40 moves and black won.
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Ajedrecista
- Posts: 1971
- Joined: Wed Jul 13, 2011 9:04 pm
- Location: Madrid, Spain.
Re: Unclear N+5P vs. B+6P endgame.
Hello again:
The idea of playing one engine again itself seems good. Houdini 1.5a w32 only manages a draw against itself (with Gaviota TBs), at 5'/40 moves:
[d]8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - - 0 1
Thank you very much for your answers. This position has puzzled Houdini 1.5a evaluations, dropping from -1.19 (at 15.- ..., Ke6) to a draw. It is not easy to find a plan to get the full point.
Regards from Spain.
Ajedrecista.
The idea of playing one engine again itself seems good. Houdini 1.5a w32 only manages a draw against itself (with Gaviota TBs), at 5'/40 moves:
[d]8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - - 0 1
Code: Select all
[Date "2012.05.26"]
[White "Houdini_15a_w32"]
[Black "Houdini_15a_w32"]
[Result "1/2-1/2"]
[TimeControl "40/300:40/300:40/300"]
[FEN "8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - - 0 1"]
[Termination "normal"]
[PlyCount "86"]
[WhiteType "program"]
[BlackType "program"]
1. ... Kc7 {(Kd7c7 h3h4 Be7d6 Ke3e2 Kc7b6 Ke2e3 Kb6c6 Ke3f3 Kc6d7 Kf3e3
Bd6e7 Ke3e2 Be7f8 Ke2e3 Bf8d6 Ke3d2 Kd7c6 Kd2e3 Bd6f8 Ke3d2 Bf8e7 Kd2e3
Kc6d7 Ke3e2) +0.61/21 7} 2. Kd2 {(Ke3d2 g7g6 Kd2c3 Kc7d6 h3h4 h7h6 Kc3c2
h6h5 g4g5 Kd6c7 Kc2b3 f6xg5 f4xg5 Be7d6 Nd3e1 Bd6g3 Ne1f3 Kc7d6 Kb3c3 Kd6c6
Kc3d3 Bg3b8 Nf3e1) -0.63/21 6} g6 {(g7g6 Kd2e3 h7h6 h3h4 Kc7d7 Ke3d2 Be7d6
g4g5 f6xg5 f4xg5 h6xg5 h4xg5 Bd6h2 Kd2e2 Kd7d6 Nd3e1 Bh2f4 Ne1f3 Kd6e7
Nf3h4 Ke7f7 Nh4f3 Bf4d6 Ke2d3 Bd6xb4 Nf3e5+ Kf7g7) +0.57/22 22} 3. Ke3
{(Kd2e3 h7h6 h3h4 Kc7d7 Ke3d2 Kd7c6 Kd2e3 Kc6c7 Ke3d2 Kc7d6 Kd2c3 Be7d8
Kc3d2 Kd6e7 Nd3c5 h6h5 g4xh5 g6xh5 Kd2e3 Ke7f7 f4f5 e6xf5 Ke3f4 Kf7g6 Kf4f3
Bd8c7 Nc5e6 Bc7d6 Ne6c5 Bd6b8) -0.63/23 12} h6 {(h7h6 h3h4 Kc7d7 Ke3d2
Kd7c6 Kd2c2 Kc6c7 Kc2c3 Kc7d6 Kc3d2 Kd6d7 Kd2e3 h6h5 g4g5 Kd7e8 Ke3f3 Be7d8
Nd3c5 Ke8e7 Nc5d3 Bd8c7 Nd3c5 Ke7f7 Nc5d3 Bc7b8 Kf3f2 Bb8d6 Kf2f3 Kf7e7
Kf3e3 Bd6c7 Ke3f2 f6f5) +0.57/23 8} 4. h4 {(h3h4 Kc7d7 Ke3d2 Kd7c6 Kd2c2
Kc6c7 Kc2c3 Kc7d6 Kc3d2 h6h5 g4g5 Kd6c7 Kd2e3 Kc7d8 Ke3f3 Kd8e8 Kf3e3 Ke8f7
Ke3f3 Be7d6 Kf3f2 Bd6c7 Kf2f3 Bc7b8 Kf3f2 Bb8d6 Kf2f3 Kf7e7 Kf3e3 Bd6c7
Ke3f2 Ke7f7 Kf2f3) -0.63/23 5} Kd7 {(Kc7d7 Ke3d2 Kd7c6 Kd2c2 Kc6c7 Kc2c3
Kc7d6 Kc3d2 h6h5 g4g5 Kd6c7 Kd2e3 Kc7d8 Ke3f3 Kd8e8 Kf3e3 Ke8f7 Ke3f3 Be7d6
Kf3f2 Bd6c7 Kf2f3 Kf7e7 Kf3f2 Ke7f7 Kf2f3) +0.57/23 7} 5. Kd2 {(Ke3d2 Kd7c6
Kd2c2 Kc6c7 Kc2c3 Kc7d6 Kc3d2 h6h5 g4g5 Kd6c7 Kd2e3 Kc7d8 Ke3d2 Kd8d7 Kd2e3
Kd7c7 Ke3d2 f6xg5 f4xg5 Be7d6 Nd3e5 Bd6xe5 d4xe5 Kc7c6 Kd2c3 Kc6b7 Kc3d3
Kb7b6 Kd3d4 Kb6a7 Kd4e3 Ka7a6 Ke3d4 Ka6b7 Kd4c5) -0.63/23 7} Ke8 {(Kd7e8
Kd2e3 Be7d6 g4g5 h6h5 Ke3f2 Ke8f7 Kf2f3 Bd6c7 Nd3e1 f6xg5 f4xg5 e6e5 d4xe5
Kf7e6 Ne1c2 Ke6xe5 Kf3e3 Bc7b6+ Ke3e2 Bb6d4 Nc2a3 Bd4c3 Ke2d3 Bc3e1)
+0.58/22 8} 6. Ke3 {(Kd2e3 Be7d6 g4g5 h6h5 Ke3f2 Ke8f7 Kf2f3 Bd6c7 Kf3e3
f6xg5 h4xg5 Bc7d6 Nd3e5+ Bd6xe5 f4xe5 Kf7g7 Ke3f3 Kg7f8 Kf3f2 Kf8e8 Kf2g3
Ke8e7 Kg3g2 Ke7f7 Kg2f2 h5h4 Kf2g2 Kf7e8 Kg2f3 Ke8f7 Kf3g4) -0.64/23 7} Bd6
{(Be7d6 g4g5 h6h5 Ke3f2 Bd6c7 Kf2e3 f6xg5 h4xg5 h5h4 Nd3e5 Bc7d6 Ne5d3
Bd6b8 Nd3e5 h4h3 Ke3f2 Bb8d6 Ne5d3 Bd6c7 Kf2g3 Bc7b6 Kg3xh3 Bb6xd4 Kh3h4
Bd4c3 Kh4g4 Ke8d7 Kg4f3 Bc3d4 Kf3e2 Kd7c6 Nd3e1 Bd4c3 Ne1f3) +0.63/23 13}
7. g5 {(g4g5 h6h5 Ke3f2 Bd6c7 Kf2e3 f6xg5 h4xg5 Ke8f7 Ke3f3 Bc7b8 Kf3g3
Kf7e7 Kg3f3 Bb8c7 Kf3g3 Bc7d6 Kg3f2 Ke7e8 Kf2f3 Ke8d7 Kf3g3 Kd7d8 Kg3f2
h5h4 Nd3c5 Kd8e7) -0.64/23 6} h5 {(h6h5 Ke3f2 Bd6c7 Kf2e3 f6xg5 h4xg5 Bc7d6
Ke3f2 Bd6f8 Kf2e2 Bf8g7 Nd3e5 Bg7xe5 f4xe5 Ke8d7 Ke2e3 Kd7e7 Ke3f2 Ke7f7
Kf2e2 Kf7f8 Ke2f2 Kf8e8 Kf2e2 Ke8d7) +0.60/23 5} 8. Kf3 {(Ke3f3 Ke8f7 Kf3f2
Kf7e7 Kf2f3 Bd6b8 Kf3f2 Bb8c7 Kf2e2 Bc7b6 Ke2e3 Bb6a7 Nd3e1 f6xg5 h4xg5
Ke7e8 Ne1f3 Ba7b8 Nf3e5 Bb8xe5 f4xe5 Ke8e7 Ke3f2 Ke7f7 Kf2g3 Kf7e8 Kg3f2
Ke8d7 Kf2e2 Kd7c6 Ke2f3 Kc6b6 Kf3g2 Kb6b7 Kg2g3 Kb7c7 Kg3f2 Kc7c8 Kf2e2
Kc8b7 Ke2f2 Kb7b6 Kf2g2 Kb6b7) -0.66/24 6} Bc7 {(Bd6c7 Kf3e3 f6xg5 h4xg5
Bc7d6 Ke3f2 Bd6f8 Kf2e2 Bf8g7 Nd3e5 Bg7xe5 f4xe5 Ke8d7 Ke2e3 Kd7c6 Ke3f2
Kc6c7 Kf2g2 Kc7b6 Kg2h3 Kb6b7 Kh3g2 Kb7a7 Kg2f3 Ka7b6 Kf3g2 Kb6b7 Kg2g3
Kb7c7 Kg3f2 Kc7c8 Kf2e2 Kc8b7 Ke2f2 Kb7b6 Kf2g2 Kb6b7) +0.60/24 6} 9. Ke3
{(Kf3e3 Ke8e7 Ke3d2 Bc7b6 Nd3c5 Ke7f7 Kd2c2 Bb6c7 Nc5d3 Kf7e8 Kc2d2 f6xg5
h4xg5 h5h4 Kd2e2 h4h3 Ke2f2 Bc7b6 Kf2g3 Bb6xd4 Kg3xh3 Ke8e7 Kh3g4 Ke7d6
Kg4f3 e6e5 f4xe5+ Bd4xe5 Nd3c1 Kd6e6) -0.78/24 49} Ke7 {(Ke8e7 Ke3d2 Bc7b6
Nd3c5 Ke7f7 Kd2c2 Bb6c7 Nc5d3 Kf7e8 Kc2d2 f6xg5 h4xg5 h5h4 Kd2e2 Bc7b6
Ke2f3 Bb6xd4 Kf3g4 Ke8e7 Kg4xh4 Ke7d6 Kh4g3 e6e5 f4xe5+ Bd4xe5+ Kg3f3 Kd6e6
Nd3f2 Ke6f5 Nf2d3 Be5b8) +0.75/24 5} 10. Kd2 {(Ke3d2 Ke7f7 Kd2e2 Bc7b6
Ke2e3 e6e5 f4xe5 f6xg5 h4xg5 Bb6d8 Ke3f4 Bd8e7 Kf4f3 Be7xg5 Nd3c5 Bg5d2
Nc5a6 Bd2c3 Kf3e3 g6g5 Na6c7 Bc3xb4 Nc7xb5 Bb4a5 Ke3f3 Kf7e6 Kf3g3 Ba5b6
Kg3f3 g5g4+ Kf3g3 Ke6f7 Kg3f4 Kf7e6 Kf4g3 Ke6f7) -0.82/23 7} Kf7 {(Ke7f7
Kd2c2 Kf7e8 Kc2d2 f6xg5 h4xg5 h5h4 Kd2e2 Bc7b6 Ke2f3 Bb6xd4 Kf3g4 Ke8e7
Kg4xh4 Ke7d6 Kh4g3 e6e5 f4xe5+ Bd4xe5+ Kg3f3 Kd6e6 Kf3g4 d5d4 Nd3c5+ Ke6d5
Kg4f3 Be5d6 Nc5d3 Bd6b8 Kf3e2 Bb8g3 Ke2f3 Bg3d6 Kf3e2 Kd5e4 Ke2d2 Bd6f4+
Nd3xf4 Ke4xf4) +0.77/23 5} 11. Kc2 {(Kd2c2 Kf7e8 Kc2d2 f6xg5 h4xg5 h5h4
Kd2e3 Bc7b6 Ke3f3 Bb6xd4 Kf3g4 Bd4c3 Kg4xh4 Ke8d7 Kh4g4 Kd7d6 Kg4f3 e6e5
f4xe5+ Bc3xe5 Nd3e1 Be5c3 Ne1c2 Kd6e5 Kf3e3 d5d4+ Ke3d3 Bc3b2 Nc2e1 Ke5f4
Ne1c2 Kf4xg5) -0.76/23 9} fxg5 {(f6xg5 f4xg5 e6e5 d4xe5 d5d4 Kc2b3 Kf7e6
Nd3f4+ Ke6xe5 Nf4xg6+ Ke5e6 Ng6f8+ Ke6f7 Nf8d7 Bc7g3 Kb3c2 Bg3xh4 Nd7e5+
Kf7g7 Ne5f3 Bh4f2 Kc2d3 Kg7g6 Kd3d2 Bf2e3+ Kd2e2 Kg6g7 Nf3h4 Kg7f7 g5g6+
Kf7f6 Ke2f3 Be3g5 g6g7 Kf6f7 Nh4f5 d4d3 Nf5d4 Kf7xg7 Nd4xb5 Kg7g6 Nb5d4
Kg6f6 b4b5 Kf6e5 Nd4c6+ Ke5d5) +1.03/24 41} 12. fxg5 {(f4xg5 e6e5 d4xe5
d5d4 Kc2b2 Kf7e6 Nd3f4+ Ke6xe5 Nf4xg6+ Ke5e6 Ng6f8+ Ke6f7 Nf8d7 Bc7g3 Kb2c2
Bg3xh4 Nd7e5+ Kf7g7 Ne5f3 Bh4f2 Kc2d3 Kg7g6 Kd3d2 Bf2e3+ Kd2e2 Kg6g7 Nf3h4
Kg7f7 g5g6+ Kf7f6 Ke2f3 Be3g5 g6g7 Kf6f7 Nh4f5 d4d3 Nf5d4 Kf7xg7 Nd4xb5
Kg7g6 Nb5d4 Kg6f6 b4b5 Kf6e5 Nd4c6+ Ke5d5) -1.13/19 2} e5 {(e6e5 d4xe5 d5d4
Nd3e1 Bc7xe5 Kc2d3 Kf7e6 Kd3e4 Be5g3 Ne1f3 d4d3 Ke4xd3 Ke6d5 Nf3d4 Bg3xh4
Nd4xb5 Bh4xg5 Nb5c3+ Kd5e6 Nc3e2 Ke6d6 Kd3e4 Bg5d2 b4b5 Kd6c5 Ne2d4 Kc5b6
Ke4f3 g6g5 Nd4e6 g5g4+ Kf3g3 Bd2e1+ Kg3g2 Be1c3 Ne6f4) +1.17/22 10} 13.
dxe5 {(d4xe5 d5d4 Nd3e1 Bc7xe5 Kc2d3 Kf7e6 Kd3e4 Be5g3 Ne1f3 d4d3 Nf3d4+
Ke6d7 Nd4f3 Bg3xh4 Ke4xd3 Bh4g3 Kd3e2 h5h4 Nf3d4 h4h3 Ke2f3 Bg3e5 Nd4xb5
Kd7c6 Nb5a7+ Kc6c7 Na7b5+ Kc7b6 Nb5a3 Be5b8 Kf3f2 Kb6c6 Kf2g1 Kc6d5 Na3c2
Bb8f4 b4b5 Kd5c5 Nc2a3 Bf4xg5 Kg1h2) -1.18/22 5} d4 {(d5d4 Nd3e1 Bc7xe5
Kc2d3 Kf7e6 Kd3e4 Be5g3 Ne1f3 d4d3 Nf3d4+ Ke6d7 Nd4f3 Bg3xh4 Ke4xd3 Bh4g3
Kd3e2 h5h4 Nf3d4 h4h3 Ke2f3 Bg3e5 Nd4xb5 Kd7c6 Nb5a7+ Kc6c7 Na7b5+ Kc7b6
Nb5a3 Be5b8 Kf3f2 Kb6c6 Kf2g1 Kc6d5 Na3c2 Bb8f4 b4b5 Kd5c5 Nc2a3 Bf4xg5
Kg1h2) +1.12/21 0} 14. Ne1 {(Nd3e1 Bc7xe5 Kc2d3 Kf7e6 Kd3e4 Be5g3 Ne1f3
d4d3 Nf3d4+ Ke6d7 Nd4f3 Bg3xh4 Ke4xd3 Bh4g3 Kd3e2 h5h4 Nf3d4 h4h3 Ke2f3
Bg3e5 Nd4xb5 Kd7c6 Nb5a7+ Kc6c7 Na7b5+ Kc7b6 Nb5a3 Be5b8 Kf3f2 Kb6c6 Kf2g1
Kc6d5 Na3c2 Bb8f4 b4b5 Kd5c5 Nc2a3 Bf4xg5 Kg1h2) -1.18/22 8} Bxe5 {(Bc7xe5
Kc2d3 Kf7e6 Kd3e4 Be5g3 Ne1f3 d4d3 Nf3d4+ Ke6d7 Nd4f3 Bg3xh4 Ke4xd3 Bh4g3
Kd3e2 h5h4 Nf3d4 h4h3 Ke2f3 Bg3e5 Nd4xb5 Kd7c6 Nb5a7+ Kc6c7 Na7b5+ Kc7b6
Nb5a3 Be5b8 Kf3f2 Kb6c6 Na3c2 Kc6d5 Kf2g1 Bb8f4 b4b5 Kd5c5 b5b6 Kc5xb6)
+1.12/22 9} 15. Kd3 {(Kc2d3 Kf7e6 Kd3e4 Be5g3 Ne1f3 d4d3 Nf3d4+ Ke6d7 Nd4f3
Bg3xh4 Ke4xd3 Bh4g3 Kd3e2 h5h4 Ke2f1 h4h3 Kf1g1 Bg3d6 Nf3d4 Bd6e5 Nd4xb5
Kd7e6 Nb5a3 Ke6d5 Na3c2 Be5f4 Kg1h1 Kd5c4 Nc2e1 Bf4c7 Ne1f3 Kc4xb4)
-1.18/24 15} Ke6 {(Kf7e6 Kd3e4 Be5g3 Ne1f3 d4d3 Nf3d4+ Ke6d7 Ke4xd3 Bg3xh4
Nd4xb5 Bh4xg5 Nb5c3 Bg5f6 Nc3e4 Bf6e5 b4b5 Kd7c7 Ne4c5 Kc7d6 Nc5e4+ Kd6d5
Kd3e3 h5h4 Ne4g5 Be5f6 Ng5f3 Kd5c5 Ke3f4 Kc5xb5 Kf4g4 g6g5 Nf3xg5 Bf6xg5
Kg4f3) +1.19/24 7} 16. Ke4 {(Kd3e4 Be5g3 Ne1f3 d4d3 Nf3d4+ Ke6d7 Ke4xd3
Bg3xh4 Nd4xb5 Bh4xg5 Nb5c3 Bg5e7 b4b5 Kd7d6 Nc3e2 Be7g5 Ne2c3 Bg5d8 Nc3e2
g6g5 Kd3e4 Kd6c5 Ne2d4 Bd8e7 Nd4c6 Be7d6 Nc6d8 Kc5b6 Nd8f7) -1.16/22 5} Bg3
{(Be5g3 Ne1f3 d4d3 Nf3d4+ Ke6d7 Ke4xd3 Bg3xh4 Nd4xb5 Bh4xg5 Nb5c3 Kd7c6
b4b5+ Kc6b6 Kd3e2 Bg5h6 Ke2f3 Bh6c1 Kf3g3 Bc1g5 Kg3g2 h5h4 Kg2f3 Bg5d2
Nc3e4 Bd2b4 Kf3g2 Bb4e7 Ne4c3 Kb6c5 b5b6 Kc5c6 Kg2h3 Be7f6 Nc3e4 Bf6d8
Ne4d2 Kc6xb6 Nd2f3) +1.08/22 8} 17. Nf3 {(Ne1f3 d4d3 Nf3d4+ Ke6d7 Ke4xd3
Bg3xh4 Nd4xb5 Bh4xg5 Nb5c3 Kd7c6 b4b5+ Kc6b6 Kd3e2 Bg5h6 Ke2f3 Bh6c1 Kf3g3
Bc1g5 Kg3g2 h5h4 Kg2f3 Bg5d2 Nc3e4 Bd2b4 Kf3g2 Bb4e7 Ne4c3 Kb6c5 b5b6 Kc5c6
Kg2h3 Be7f6 Nc3e4 Bf6d8 Ne4d2 Kc6xb6) -1.11/21 5} d3 {(d4d3 Nf3d4+ Ke6d7
Ke4xd3 Bg3xh4 Nd4xb5 Bh4xg5 Nb5c3 Kd7c6 b4b5+ Kc6b6 Kd3e2 Bg5h6 Ke2f3 Bh6c1
Kf3g3 Bc1g5 Kg3g2 h5h4 Kg2f3 Bg5d2 Nc3e4 Bd2b4 Kf3g2 Bb4e7 Ne4c3 Kb6c5 b5b6
Kc5c6 Kg2h3 Be7f6 Nc3e4 Bf6d8 Ne4d2 Kc6xb6) +1.06/20 0} 18. Nd4+ {(Nf3d4+
Ke6d7 Ke4xd3 Bg3xh4 Nd4xb5 Bh4xg5 Nb5c3 Kd7c6 b4b5+ Kc6b6 Kd3e2 Bg5h6 Ke2f3
Bh6c1 Kf3g3 Bc1g5 Kg3g2 h5h4 Kg2h2 Bg5d8 Kh2h3 Kb6c5 Kh3g4 Kc5c4 Nc3e2
Kc4xb5 Ne2f4 g6g5 Nf4e6 Bd8e7 Ne6d4+ Kb5c4 Nd4f5 Be7f6) -1.11/21 8} Kd7
{(Ke6d7 Ke4xd3 Bg3xh4 Nd4xb5 Bh4xg5 Nb5c3 Kd7c6 b4b5+ Kc6b6 Kd3e2 Bg5c1
Ke2f3 Kb6a5 Kf3e2 Bc1g5 Ke2f3 Bg5h6 Kf3e4 Bh6d2 Nc3b1 Bd2g5 Nb1c3 Ka5b6
Ke4f3 Bg5c1 Kf3g3 Bc1g5 Kg3g2 Bg5d2 Nc3e4 Bd2e1 Ne4f6 h5h4 Kg2h3 Kb6xb5
Kh3g4 Kb5c6) +1.06/22 17} 19. Kxd3 {(Ke4xd3 Bg3xh4 Nd4xb5 Bh4xg5 Nb5c3
Bg5e7 b4b5 Kd7d6 Nc3e2 Kd6e5 b5b6 Be7d6 Ne2g3 h5h4 Ng3e4 Ke5d5 Kd3e3 Kd5c6
b6b7 Bd6c7 Ke3f3 Kc6xb7 Kf3g4 Bc7d8 Ne4d2 Kb7a7 Nd2f3 g6g5 Nf3d4 Ka7b6
Kg4h3 Kb6c7 Nd4f3 Kc7c8 Nf3xg5 Bd8xg5 Kh3g2) -1.15/19 6} Bxh4 {(Bg3xh4
Nd4xb5 Bh4xg5 Nb5c3 Bg5e7 b4b5 Kd7d6 Nc3e2 Kd6e5 b5b6 Be7d6 Ne2g3 h5h4
Ng3e4 Ke5d5 b6b7 Bd6c7 Kd3e3 Kd5c6 Ke3f3 Kc6xb7 Kf3g4 Bc7d8 Ne4d2 Kb7a7
Nd2f3 g6g5 Nf3d4 Ka7b6 Nd4e6 Bd8f6 Kg4f5 Bf6e7 Kf5g4 Kb6c6 Ne6xg5 Be7xg5
Kg4h3 Kc6b6 Kh3g2) +1.02/20 4} 20. Nxb5 {(Nd4xb5 Bh4xg5 Nb5c3 Bg5c1 Kd3e4
Kd7c6 Ke4f3 Bc1g5 b4b5+ Kc6b6 Kf3e2 Bg5c1 Ke2f3 Kb6a5 Nc3d5 Bc1g5 b5b6
Ka5a6 Kf3g3 Ka6b7 Kg3g2 Bg5d2 Kg2f3 h5h4 Kf3g4 g6g5 Nd5f6 Bd2f4 Nf6d7)
-0.87/20 17} Bxg5 {(Bh4xg5 Nb5c3 Bg5c1 Kd3e4 Kd7c6 Ke4f3 Bc1b2 b4b5+ Kc6b7
Nc3e4 Bb2e5 Ne4c5+ Kb7c7 Kf3g2 Kc7d6 Nc5e4+ Kd6e6 Kg2f2 Be5c7 Kf2f3 Ke6f5
Ne4c3 Kf5e6 Nc3e4 Ke6f5) +0.85/19 8} 21. Nc3 {(Nb5c3 Kd7c6 b4b5+ Kc6b6
Kd3e2 Kb6b7 Nc3d5 Kb7c8 Ke2f3 Kc8d7 Kf3e4 Kd7d8 Ke4f3 Kd8c8 Nd5b6+ Kc8c7
Nb6d5+ Kc7b7 Kf3g2 Kb7c8 b5b6 Kc8b8 Kg2f3 Kb8c8 Kf3g2 Kc8b8) -0.84/19 6}
Ke6 {(Kd7e6 Kd3e4 Ke6d6 Ke4f3 Bg5f6 Nc3e4+ Kd6e5 b4b5 Bf6d8 Ne4g3 h5h4
Ng3e4 Bd8c7 Ne4d2 Ke5f5 Nd2c4 g6g5 Nc4e3+ Kf5e6 Kf3g4 Bc7d8 Ne3c4 Ke6d5
Nc4d2 Kd5d6 Nd2f3 Kd6c7 Kg4h3) +0.82/19 12} 22. Ke4 {(Kd3e4 Ke6d6 Ke4f3
Kd6c6 b4b5+ Kc6b6 Kf3e2 Kb6b7 Nc3d5 Kb7c8 Ke2f3 Kc8d7 Kf3e4 h5h4 b5b6 Kd7c8
Ke4f3 Kc8b8 Kf3g2 Kb8b7 Kg2h3 Bg5d8 Nd5f4 g6g5 Nf4e6 Bd8e7 Kh3g4 Be7f6
Kg4h3 Kb7xb6 Kh3g4) -0.79/19 4} Kd6 {(Ke6d6 Ke4f3 Kd6c6 b4b5+ Kc6b6 Kf3e2
Kb6b7 Nc3d5 Kb7c8 Ke2f3 Kc8b8 b5b6 Kb8b7 Kf3g3 Kb7c8 Kg3h3 Kc8b8 Kh3g2 h5h4
Kg2h3 Kb8b7 Kh3g4 Kb7c6 Kg4xg5 h4h3 Nd5b4+ Kc6xb6 Nb4d3 h3h2 Nd3f2 Kb6c5
Kg5g4 Kc5d5 Kg4f3 Kd5d4 Nf2h1) +0.57/19 22} 23. Kf3 {(Ke4f3 Kd6c6 Nc3e2
Kc6b5 Ne2g3 Bg5d2 Ng3xh5 g6xh5 Kf3g2 Bd2g5 Kg2h1 Bg5c1 Kh1g2 h5h4 Kg2h1
Kb5c6 b4b5+ Kc6b6 Kh1g2 Bc1f4 Kg2g1 Bf4e5 Kg1h1 Be5d4 Kh1g2 Bd4f6 Kg2h1
Bf6e7 Kh1g2 Be7d8 Kg2h2 Bd8f6 Kh2h1 Bf6e7) -0.66/19 3} Bf6 {(Bg5f6 Nc3e4+
Kd6e5 b4b5 Bf6d8 Ne4g3 Bd8b6 Ng3xh5 g6xh5 Kf3g2 Ke5f5 Kg2h3 Kf5g6 Kh3g2
Kg6g5 Kg2h2 Kg5g4 Kh2g2 h5h4 Kg2h2 Bb6c7+ Kh2h1 Bc7b8 Kh1g2 Bb8e5 Kg2g1
Be5d6 Kg1h1 Kg4f5 Kh1g2 Bd6g3 Kg2g1 Bg3b8 Kg1g2 Bb8g3 Kg2g1) +0.63/19 2}
24. Ne4+ {(Nc3e4+ Kd6e5 b4b5 Bf6d8 Ne4g3 Bd8b6 Ng3xh5 g6xh5 Kf3g2 Ke5f5
Kg2h3 Kf5g6 Kh3g2 Kg6g5 Kg2h2 Kg5g4 Kh2g2 h5h4 Kg2h2 Kg4g5 Kh2h3 Bb6e3
Kh3g2 Be3f4 Kg2h1 Kg5f5 Kh1g2 Kf5g5 Kg2h1) -0.66/20 4} Ke5 {(Kd6e5 b4b5
Bf6d8 Ne4g3 Bd8b6 Ng3xh5 g6xh5 Kf3g2 Ke5f5 Kg2h3 Kf5g6 Kh3g2 Kg6g5 Kg2h2
Kg5g4 Kh2g2 h5h4 Kg2h2 Kg4g5 Kh2h3 Bb6c7 b5b6 Bc7g3 Kh3g2 Bg3b8 Kg2h3 Bb8g3
Kh3g2) +0.63/21 5} 25. Ng3 {(Ne4g3 Bf6d8 Ng3xh5 g6xh5 Kf3g2 Ke5f5 Kg2g3
h5h4+ Kg3h3 Kf5g5 Kh3g2 Kg5g4 Kg2h2 Kg4f3 Kh2h1 Bd8b6 Kh1h2 Bb6c7+ Kh2h1
Kf3g4 Kh1g1 Kg4g3 Kg1h1 Bc7b6 b4b5 Kg3f3 Kh1h2 Bb6c7+ Kh2h3 Bc7g3 b5b6
Kf3f4 b6b7) -0.66/21 4} Bd8 {(Bf6d8 Ng3xh5 g6xh5 Kf3g2 Ke5f5 Kg2g3 h5h4+
Kg3h3 Kf5g5 Kh3g2 Kg5g4 Kg2h2 Kg4f3 Kh2h1 Bd8b6 Kh1h2 Bb6c7+ Kh2g1 Kf3g4
Kg1h1 Kg4f5 Kh1g2 Bc7f4 Kg2g1 Kf5g4 Kg1h1 Bf4c7 Kh1g2 Bc7b8 Kg2h1 Bb8d6
Kh1g1 Bd6c7 Kg1h1) +0.63/21 3} 26. Ne4 {(Ng3e4 Bd8h4 b4b5 Bh4d8 Ne4c5 Ke5d5
Nc5e4 Bd8e7 b5b6 Kd5c6 Ne4g3 Kc6b7 Ng3xh5 g6xh5 Kf3g2 Be7f6 Kg2h1 Bf6e5
Kh1g2 Be5b8 Kg2h1 Kb7c6 Kh1g2 Bb8e5 Kg2h1 Be5d6 Kh1g2 Kc6b7 Kg2h1 Bd6b8
Kh1g2 Kb7c8 Kg2h1 Kc8d7 Kh1g2 Kd7c6 Kg2h1 Kc6d5 Kh1g1 Kd5e6 Kg1h1 Ke6f5
Kh1g2 h5h4 Kg2h1 Kf5g4 Kh1g1 Bb8e5 Kg1h1 Be5f4 Kh1g2 Kg4f5 Kg2h3 Kf5g5
Kh3g2 Bf4b8 Kg2h3 Bb8g3 Kh3g2 Bg3b8 Kg2h3) -0.66/21 22} Bh4 {(Bd8h4 b4b5
Bh4d8 Ne4g3 Bd8b6 Ng3e4 Bb6c7 Ne4g3 Ke5d5 Ng3xh5 g6xh5 Kf3g2 Kd5e6 Kg2h1
Bc7b6 Kh1g2 Ke6f5 Kg2h3 Kf5g6 Kh3h2 h5h4 Kh2g2 Kg6f5 Kg2h3 Kf5g5 Kh3g2
Bb6c7 b5b6 Bc7b8 Kg2h3 Bb8g3 Kh3g2 Bg3b8 Kg2h3) +0.63/21 3} 27. b5 {(b4b5
Bh4d8 Ne4c5 Ke5d5 Nc5e4 Bd8e7 b5b6 Kd5c6 Ne4g3 Kc6b7 Ng3xh5 g6xh5 Kf3g2
Be7f6 Kg2h1 Bf6e5 Kh1g2 Be5d6 Kg2h1 Bd6b8 Kh1g1 Kb7c6 Kg1g2 Kc6d6 Kg2h1
Kd6d7 Kh1g2 Kd7c6 Kg2h1 Bb8d6 Kh1g2 Kc6b7 Kg2h1) -0.66/22 4} Bd8 {(Bh4d8
Ne4c5 Ke5d5 Nc5e4 Bd8e7 b5b6 Kd5c6 Ne4g3 Kc6b7 Ng3xh5 g6xh5 Kf3g2 Be7f6
Kg2h1 Bf6e5 Kh1g2 Be5d6 Kg2h1 Bd6b8 Kh1g1 Kb7c6 Kg1g2 Kc6d6 Kg2h1 Kd6d7
Kh1g2 Kd7c6 Kg2h1 Bb8d6 Kh1g2 Kc6b7 Kg2h1) +0.63/21 0} 28. Nc5 {(Ne4c5
Ke5d5 Nc5e4 Kd5e6 Kf3f4 Ke6d7 Ne4c5+ Kd7d6 Nc5e4+ Kd6c7 Ne4g3 h5h4 Ng3e4
Kc7b6 Ne4c3 Kb6b7 Kf4g4 Kb7c7 Nc3d5+ Kc7d6 Nd5f4 g6g5 Nf4h3 Kd6c7 Nh3xg5
Bd8xg5 Kg4h3 Kc7b7 Kh3h2 Kb7b6 Kh2g2 Bg5d8 Kg2h3 Kb6b7 Kh3g2 Bd8b6 Kg2h1
Kb7c7 Kh1g2 Kc7d6 Kg2h1 Kd6e6 Kh1g2 Ke6d6 Kg2h1) -0.66/21 5} Kd6 {(Ke5d6
Nc5d3 g6g5 Nd3f4 g5xf4 Kf3xf4 Kd6c7 Kf4g3 Kc7b6 Kg3g2 Bd8g5 Kg2h1 Kb6c7
Kh1g2 h5h4 Kg2g1 Bg5e3+ Kg1h1 Be3b6 Kh1h2 Kc7d6 Kh2g2 Kd6d5 Kg2h2 Kd5d6
Kh2g2) +0.63/20 2} 29. Nd3 {(Nc5d3 g6g5 Nd3f4 g5xf4 Kf3xf4 Kd6c7 Kf4g3
Kc7b6 Kg3g2 Bd8g5 Kg2h1 Kb6c7 Kh1g2 h5h4 Kg2g1 Bg5e3+ Kg1h1 Kc7b7 Kh1g2
Be3b6 Kg2h3 Bb6d8 Kh3g2 Bd8b6 Kg2h3) -0.47/20 5} g5 {(g6g5 Nd3f4 g5xf4
Kf3xf4 Kd6c7 Kf4g3 Kc7b6 Kg3g2 Bd8g5 Kg2h1 Kb6c7 Kh1g2 h5h4 Kg2g1 Bg5e3+
Kg1h1 Kc7b7 Kh1g2 Be3b6 Kg2h3 Bb6d8 Kh3g2 Bd8b6 Kg2h3) +0.63/18 0} 30. Ke4
{(Kf3e4 Kd6c7 b5b6+ Kc7b8 Ke4f5 h5h4 Kf5g4 Kb8c8 Nd3e5 Kc8b7 Ne5f3 Bd8f6
Kg4h3 Kb7b8 Kh3g4 Bf6e7 Kg4h3 Kb8c8 Nf3d2) -0.34/17 4} Ke6 {(Kd6e6 b5b6
h5h4 b6b7 Bd8c7 Nd3f2 Bc7b8 Ke4f3 Ke6f5 Nf2g4 h4h3 Ng4e3+ Kf5f6 Ne3f1 Bb8c7
Nf1g3 h3h2 Kf3g2 Bc7xg3 Kg2xg3 h2h1Q b7b8Q Qh1h4+ Kg3g2 Qh4e4+ Kg2g3 Qe4e3+
Kg3g2 Qe3e4+ Kg2g3) +0.30/15 4} 31. b6 {(b5b6 h5h4 Nd3f4+ Ke6d7 b6b7 Bd8c7
Nf4e2 h4h3 Ke4f3 Bc7e5 Ne2g3 Kd7e6 Kf3g4 h3h2 Kg4h3 Be5xg3 Kh3xg3 h2h1Q
b7b8Q Qh1h4+ Kg3g2 Qh4e4+ Kg2f2 Qe4d4+ Kf2f3 Ke6e7 Qb8b7+ Ke7f6 Qb7c6+
Kf6f7 Qc6e4 Qd4d1+ Kf3f2 Qd1d2+ Kf2g3 Qd2d6+ Kg3g4) -0.09/16 3} h4 {(h5h4
Nd3f4+ Ke6d7 b6b7 Bd8c7 Nf4e2 h4h3 Ke4f3 Kd7e6 Ne2g3 Ke6f6 Ng3e4+ Kf6f5
Ne4f2 h3h2 Kf3g2 g5g4 Nf2xg4 Kf5xg4 b7b8R Bc7xb8 Kg2h1 Kg4f5 Kh1g2 Kf5e6
Kg2h1 Ke6d7 Kh1g2 Kd7c6 Kg2h1 Kc6b7 Kh1g2 Bb8f4 Kg2h1 Bf4e5 Kh1g2 Kb7c6
Kg2h1 Be5g3 Kh1g2 Kc6b7 Kg2h1 Kb7c7 Kh1g2 Bg3d6 Kg2h1) +0.03/18 4} 32. Nf4+
{(Nd3f4+ Ke6d7 b6b7 Bd8c7 Nf4e2 h4h3 Ke4f3 Kd7e6 Ne2g3 Ke6f6 Ng3e4+ Kf6f5
Ne4f2 h3h2 Kf3g2 g5g4 Nf2xg4 Kf5xg4 b7b8R Bc7xb8 Kg2h1 Kg4f5 Kh1g2 Kf5e6
Kg2h1 Ke6d7 Kh1g2 Kd7c6 Kg2h1 Kc6b7 Kh1g2 Bb8f4 Kg2h1 Bf4e5 Kh1g2 Kb7c6
Kg2h1 Be5g3 Kh1g2 Kc6b7 Kg2h1 Kb7c7 Kh1g2 Bg3d6 Kg2h1) -0.05/17 0} Kd7
{(Ke6d7 b6b7 Bd8c7 Nf4e2 h4h3 Ke4f3 Kd7d6 Ne2g3 Kd6e6 Ng3e4 Ke6f5 Ne4f2
h3h2 Kf3g2 g5g4 Nf2xg4 Kf5xg4 b7b8R Bc7xb8 Kg2h1 Kg4f5 Kh1g2 Kf5e6 Kg2h1
Ke6d7 Kh1g2 Kd7c6 Kg2h1 Kc6b7 Kh1g2 Bb8f4 Kg2h1 Bf4e5 Kh1g2 Kb7c6 Kg2h1
Be5g3 Kh1g2 Kc6b7 Kg2h1 Bg3b8 Kh1g2) +0.03/20 7} 33. b7 {(b6b7 Bd8c7 Nf4e2
h4h3 Ke4f3 g5g4+ Kf3xg4 h3h2 Ne2g3 Bc7xg3 Kg4xg3 h2h1Q b7b8Q Qh1e1+ Kg3f3
Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4g7+ Kc3c4 Qg7f7+
Kc4b4 Qf7e7+ Kb4a4 Qe7h4+ Qb8b4 Qh4xb4+ Ka4xb4 Kd7c6 Kb4c4 Kc6b6 Kc4d3
Kb6c6 Kd3e4 Kc6b6 Ke4f3 Kb6c6 Kf3g4 Kc6d5 Kg4f3 Kd5e5 Kf3g2 Ke5d4 Kg2f1
Kd4d5 Kf1f2 Kd5c5 Kf2e2 Kc5d4 Ke2d1 Kd4c5 Kd1c2 Kc5c6 Kc2d3 Kc6b7 Kd3e4
Kb7c6 Ke4f3 Kc6d5 Kf3g4 Kd5d4 Kg4f3 Kd4c3 Kf3g4 Kc3b2 Kg4g3) -0.03/20 5}
Bc7 {(Bd8c7 Nf4e2 h4h3 Ke4f3 g5g4+ Kf3xg4 h3h2 Ne2g3 Bc7xg3 Kg4xg3 h2h1Q
b7b8Q Qh1e1+ Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3
Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4e1+ Qb8b4 Qe1xb4+ Ka5xb4 Kd7d6 Kb4b5 Kd6e5
Kb5c4) +0.01/21 4} 34. Ne2 {(Nf4e2 h4h3 Ke4f3 g5g4+ Kf3xg4 h3h2 Ne2g3
Bc7xg3 Kg4xg3 h2h1Q b7b8Q Qh1e1+ Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+
Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4e1+ Qb8b4 Qe1xb4+ Ka5xb4
Kd7d6 Kb4b5 Kd6e5 Kb5c4) -0.03/20 0} h3 {(h4h3 Ke4f3 g5g4+ Kf3xg4 h3h2
Ne2g3 Bc7xg3 Kg4xg3 h2h1Q b7b8Q Qh1e1+ Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4
Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4e1+ Qb8b4 Qe1a1+
Qb4a4+ Qa1xa4+ Ka5xa4 Kd7c7 Ka4b5 Kc7b8 Kb5c4) +0.01/21 3} 35. Kf3 {(Ke4f3
g5g4+ Kf3xg4 h3h2 Ne2g3 Bc7xg3 Kg4xg3 h2h1Q b7b8Q Qh1e1+ Kg3f3 Qe1d1+ Kf3e3
Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4e1+
Qb8b4 Qe1a1+ Qb4a4+ Qa1xa4+ Ka5xa4 Kd7c7 Ka4b5 Kc7b8 Kb5c4) -0.03/21 0} g4+
{(g5g4+ Kf3xg4 h3h2 Ne2g3 Bc7xg3 Kg4xg3 h2h1Q b7b8Q Qh1e1+ Kg3f3 Qe1d1+
Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5
Qe4e1+ Qb8b4 Qe1e3 Qb4b5+ Kd7c7 Qb5c4+ Kc7d6 Qc4a6+ Kd6c7 Qa6c4+ Kc7d6)
-0.01/22 6} 36. Kxg4 {(Kf3xg4 h3h2 Ne2g3 Bc7xg3 Kg4xg3 h2h1Q b7b8Q Qh1e1+
Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4
Qf3e4+ Kb4a5 Qe4e1+ Qb8b4 Qe1e3 Qb4b5+ Kd7c7 Qb5c4+ Kc7d6 Qc4a6+ Kd6c7
Qa6c4+ Kc7d6) -0.01/21 0} h2 {(h3h2 Ne2g3 Bc7xg3 Kg4xg3 h2h1Q b7b8Q Qh1e1+
Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4
Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4 Kb5b6 Ke4f3
Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/23 3} 37. Ng3 {(Ne2g3 Bc7xg3 Kg4xg3 h2h1Q
b7b8Q Qh1e1+ Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3
Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4
Kb5b6 Ke4f3 Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/23 0} Bxg3 {(Bc7xg3 Kg4xg3 h2h1Q
b7b8Q Qh1e1+ Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3
Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4
Kb5b6 Ke4f3 Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/28 2} 38. Kxg3 {(Kg4xg3 h2h1Q
b7b8Q Qh1e1+ Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3
Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4
Kb5b6 Ke4f3 Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/1 0} h1=Q {(h2h1Q b7b8Q Qh1e1+
Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4
Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4 Kb5b6 Ke4f3
Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/1 0} 39. b8=Q {(b7b8Q Qh1e1+ Kg3f3 Qe1d1+
Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5
Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4 Kb5b6 Ke4f3 Kb6a6 Kf3e4
Ka6b6 Ke4f3) 0.00/1 0} Qe1+ {(Qh1e1+ Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+
Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+
Kd6xd5 Ka5b5 Kd5e4 Kb5b6 Ke4f3 Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/1 0} 40. Kf3
{(Kg3f3 Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4
Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4 Kb5b6 Ke4f3
Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/1} Qd1+ {(Qe1d1+ Kf3e3 Qd1g1+ Ke3e4 Qg1g6+
Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+
Kd6xd5 Ka5b5 Kd5e4 Kb5b6 Ke4f3 Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/1} 41. Ke3
{(Kf3e3 Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5
Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4 Kb5b6 Ke4f3 Kb6a6 Kf3e4
Ka6b6 Ke4f3) 0.00/1 0} Qg1+ {(Qd1g1+ Ke3e4 Qg1g6+ Ke4d4 Qg6g4+ Kd4c3 Qg4f3+
Kc3b4 Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5 Kd5e4 Kb5b6
Ke4f3 Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/1} 42. Ke4 {(Ke3e4 Qg1g6+ Ke4d4 Qg6g4+
Kd4c3 Qg4f3+ Kc3b4 Qf3e4+ Kb4a5 Qe4d5+ Qb8b5+ Kd7d6 Qb5xd5+ Kd6xd5 Ka5b5
Kd5e4 Kb5b6 Ke4f3 Kb6a6 Kf3e4 Ka6b6 Ke4f3) 0.00/1} Qg4+ {(Qg1g4+ Qb8f4
Qg4xf4+ Ke4xf4 Kd7c6 Kf4f3 Kc6d5 Kf3g4 Kd5d4 Kg4f3 Kd4c4 Kf3g3 Kc4d5 Kg3g2
Kd5c5 Kg2h1 Kc5d5 Kh1g2 Kd5c5) 0.00/1 0} 43. Qf4 {(Qb8f4 Qg4xf4+ Ke4xf4
Kd7c6 Kf4f3 Kc6d5 Kf3g4 Kd5d4 Kg4f3 Kd4c4 Kf3g3 Kc4d5 Kg3g2 Kd5c5 Kg2h1
Kc5d5 Kh1g2 Kd5c5) 0.00/1} Qxf4+ {(Qg4xf4+ Ke4xf4 Kd7c6 Kf4f3 Kc6d5 Kf3g4
Kd5d4 Kg4f3 Kd4c4 Kf3g3 Kc4d5 Kg3g2 Kd5c5 Kg2h1 Kc5d5 Kh1g2 Kd5c5) 0.00/1
0} 44. Kxf4 {(Ke4xf4 Kd7c6 Kf4f3 Kc6d5 Kf3g4 Kd5d4 Kg4f3 Kd4c4 Kf3g3 Kc4d5
Kg3g2 Kd5c5 Kg2h1 Kc5d5 Kh1g2 Kd5c5) 0.00/1 Insufficient material} 1/2-1/2Regards from Spain.
Ajedrecista.
-
emadsen
- Posts: 434
- Joined: Thu Apr 26, 2012 1:51 am
- Location: Oak Park, IL, USA
- Full name: Erik Madsen
Re: Unclear N+5P vs. B+6P endgame.
[d]8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - - 0 1
I ran a shootout match from this position. RumbleMinze is my own weak engine (~ 1880 ELO). I think you know the other engines
I ran a shootout match from this position. RumbleMinze is my own weak engine (~ 1880 ELO). I think you know the other engines
Code: Select all
Shoot out:
----- Time = Blitz 3m -----
Critter 1.4 64-bit SSE4 0-1
Deep Junior 12.5.0.3 UCI ½-½
Deep Rybka 4.1 SSE42 x64 ½-½
Deep Sjeng 3.0 0-1
Fritz 13 0-1
Komodo64 3 ½-½
RumbleMinze 1.0.30 0-1
Shredder 12 UCI ½-½
Spike 1.4 ½-½
Stockfish 2.1.1 64bit 0-1
Zappa Mexico II x64 ½-½
Score White: 27%, 11 Games-
Ajedrecista
- Posts: 1971
- Joined: Wed Jul 13, 2011 9:04 pm
- Location: Madrid, Spain.
Re: Unclear N+5P vs. B+6P endgame.
Hello Erik:
I have tried a short experiment: I choosed Quazar 0.4 w32 and let play the position 100 times against itself... I know that 100 games at 1" + 0.1"/move is a ridiculous test, but something is something:
I used LittleBlitzer 2.5 (version 2.73 has been released recently). I got a draw ratio of 84%! It is more typical in English draughts (at human top level, because it should be 100% at computer top level, i.e. KingsRow vs. Cake) than in chess, but given the nature of the starting position I used, it is not rare for me.
I take a look on the PGN, which is like this:
It corresponds to the first game, but all are like this one... so I can not share games. Surprisingly, there are two white wins (at games 28 and 80), while black wins fourteen times (at games 1, 6, 15, 19, 24, 26, 32, 50, 73, 77, 92, 94, 97 and 99). If I called 'W' when white wins, 'B' when black wins and 'D' when there is a draw:
That is, white had scored a very respetable 44% in this 100-game test. I hope no typos in this visual output; there are not two (or more) consecutive non-drawn games in the whole match!
Of course, it would be better if more self-tests are done with more engines (I mean, not only Quazar), with more games each test and a time control longer than the one I used. But I want to share what I got. Thanks to everybody that posted and will post their results in this topic.
Regards from Spain.
Ajedrecista.
Of course I know the other engines. Thank you for sharing your results and good luck with RumbleMinze (which I also know, although I have not played against it)!emadsen wrote:I ran a shootout match from this position. RumbleMinze is my own weak engine (~ 1880 ELO). I think you know the other engines
I have tried a short experiment: I choosed Quazar 0.4 w32 and let play the position 100 times against itself... I know that 100 games at 1" + 0.1"/move is a ridiculous test, but something is something:
Code: Select all
Games Completed = 100 of 100 (Avg game length = 20.523 sec)
Settings = RR/32MB/1000ms+100ms/M 777777cp for 7 moves, D 150 moves/FEN:8/3kb1pp/4pp2/1p1p4/1P1P1PP1/3NK2P/8/8 b - - 0 1
Time = 2316 sec elapsed, 0 sec remaining
1. Quazar 0.4 w32 (A) 49.0/100 7-9-84 (L: m=9 t=0 i=0 a=0) (D: r=15 i=24 f=44 s=0 a=1) (tpm=99.1 d=13.3 nps=173316)
2. Quazar 0.4 w32 (B) 51.0/100 9-7-84 (L: m=7 t=0 i=0 a=0) (D: r=15 i=24 f=44 s=0 a=1) (tpm=99.2 d=13.3 nps=173284)I take a look on the PGN, which is like this:
Code: Select all
[White "Quazar 0.4 w32 (A)"]
[Black "Quazar 0.4 w32 (B)"]
[Result "0-1"]
0-1Code: Select all
BDDDDBDDDDDDDDBDDDBDDDDBDBDWDDDBDDDDDDDDDDDDDDDDDBDDDDDDDDDDDDDDDDDDDDDDBDDDBDDWDDDDDDDDDDDBDBDDBDBDOf course, it would be better if more self-tests are done with more engines (I mean, not only Quazar), with more games each test and a time control longer than the one I used. But I want to share what I got. Thanks to everybody that posted and will post their results in this topic.
Regards from Spain.
Ajedrecista.