Ending positions

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Ferdy
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Ending positions

Post by Ferdy » Fri Oct 18, 2019 9:37 am

Got some Deuterium games from Andreas at FGRL http://www.fastgm.de/. The games here are interesting as it does not use ending tablebase (ET). Deuterium does not support ET and it is interesting to program ending evaluations. As a player you may also learn which endings are won/loss/draw.

Extracting some positions where Deuterium failed to draw a drawn ending based on 5-men syzygy ET.


It played Kc1 with a score of -4.26. Is there any engine out there without using ET that can produce a search score of -1.0 or more within 60s?
The engine may find a drawing move, but I am also interested to make the score closer to 0.

In actual game Deuterium find 27 best moves starting from this and eventually failed in one and loses eventually.


Another position:


Any engine that can score close to 0 without using ET and within 60s?
Deuterium played Kg7 with a score of -4.93. The position is a draw but Deuterium loses the game eventually.

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hgm
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Re: Ending positions

Post by hgm » Fri Oct 18, 2019 12:39 pm

The static valuation in the second position should by default assume a fortress (and thus assign a score close to 0) when the black King protects g6, as the Rook holds off the white King while shuttling between f5 and h5 (so it cannot be put in zugzwang). That puts the burden of proof that the fortress can be broken on white, so that you would only get winning scores when the fortress can indeed be broken (within the horizon).

Jouni
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Re: Ending positions

Post by Jouni » Tue Oct 22, 2019 11:01 am

Can Stockfish find draw by 50 move rule in second position? I have patience to only 80/100+ depth and score was still -4,xx! Please test with highend hardware.
Jouni

Ferdy
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Location: Philippines

Re: Ending positions

Post by Ferdy » Sun Nov 03, 2019 3:47 am

Also find a game with KRvK where Ethereal could not win.



Andrew might be interested to improve on it.

Ferdy
Posts: 4113
Joined: Sun Aug 10, 2008 1:15 pm
Location: Philippines

Re: Ending positions

Post by Ferdy » Sun Nov 03, 2019 3:54 am

This one is scary but interesting to program as drawish because of big material difference.


Position is a draw.

MikeB
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Re: Ending positions

Post by MikeB » Tue Nov 05, 2019 1:48 am

Ferdy wrote:
Sun Nov 03, 2019 3:54 am
This one is scary but interesting to program as drawish because of big material difference.


Position is a draw.
still keeping Bluefish up todate, not yet released:

Code: Select all

dep	score	nodes	time	(not shown:  tbhits	knps	seldep)
 77	 -0.77 	3.79G	1:25.21	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bd6 Ke4 Bc5 Rc1 Bd6 Kd5 Bb8 Rb1 Bc7 Kc6 Bf4 Rf1 Bb8 Kb7 Be5 Rh1 Bd4 Ka6 Be3 Kb5 Bd4 Kc4 Be5 Kd3 Bd6 Ke2 Bc5 Kd2 Kg4 Kc2 Bd6 Kd1 Bf4 Ke1 Kg3 Ke2 Bc7 Kd1 Be5 Kd2 Bf4+ Kc2 B 
 76	 -0.77 	3.16G	1:11.15	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke6 Bf4 Ke7 Bg5+ Ke8 Be3 Kd7 Bf4 Kc6 Be3 Kb5 Bf4 Ka4 Be3 Ka3 Bc5+ Kb2 Bb6 Kb3 Bc7 Kc2 Bd6 Kd2 Bf4+ Kc3 Be5+ Kb4 Bd6+ Kc4 Bf4 Kd4 Bd6 Ke3 Bc7 Kd3 Be5 Ke4 Bf4 Ra1 Bb8 Rb1 Bc7 Rc1 Bd6 K 
 75	 -0.77 	2.70G	1:01.01	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Kf6 Bc7 Kg6 Bd6 Kg7 Bc7 Kf8 Bd6+ Ke8 Be5 Kd7 Kg4 Kc8 Kg3 Kb7 Bf4 Kc6 Be3 Kd5 Bb6 Kc4 Bc7 Kd3 Bd6 Ke2 Bc7 Kd1 Be5 Kc2 Bf4 Kb2 Be3 Kb3 Bf4 Ka4 Be3 Kb4 Bf4 Kc5 Kg4 Kc4 Kg3 Kd4 Bc7 Ke4 B 
 74	 -0.77 	2.47G	0:56.16	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bd6 Ke4 Bc7 Rc1 Bd6 Kd5 Bf4 Rf1 Bc7 Kc6 Be5 Re1 Bf4 Rh1 Be3 Kd5 Bf4 Kc5 Be3+ Kc4 Bf4 Kc3 Bc7 Kb4 Be5 Kc5 Bf4 Kb6 Kg4 Ka5 Be5 Kb5 Bd6 Kc4 Kg3 Kb3 Bf4 Kc2 Bd6 Kc1 Be5 Kd1 B 
 73	 -0.77 	2.04G	0:46.50	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke4 Bc7 Kd3 Bf4 Kc2 Bd6 Kc1 Bc5 Kb2 Bb6 Kb3 Be3 Kc3 Bf4 Kb2 Be5+ Kb3 Bd4 Kb4 Bb6 Kc4 Be3 Kd5 Bb6 Kd6 Be3 Ke5 Bf4+ Kf6 Bd6 Kf7 Bb8 Kg8 Be5 Kf8 Kg4 Ke7 Kg3 Ke6 Bf4 Kd7 Kg4 Kc6 Kg3 Kb6  
 72	 -0.77 	1.81G	0:41.23	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke4 Bc7 Kd3 Be5 Kc2 Bd4 Kd2 Bb6 Kc1 Be3+ Kb2 Bd4+ Kc2 Ba7 Kb3 Be3 Kb4 Bd2+ Ka3 Bf4 Ka2 Bd6 Kb3 Bc5 Ka4 Bd4 Kb4 Bb6 Kb5 Be3 Ka6 Bd4 Kb7 Be3 Kc8 Bh6 Kd7 Bf4 Ke7 Be3 Kf7 Bf4 Kg7 Bd6 Kg8 
 71	 -0.77 	1.57G	0:35.83	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bd6 Ke6 Bb8 Rh1 Kg4 Kd7 Kg3 Kc6 Bf4 Kb6 Bb8 Kb7 Be5 Kc8 Bf4 Kd8 Be5 Ke7 Bf4 Kf6 Bc7 Kf7 Bf4 Kg6 Bd6 Kh5 Be5 Kh6 Bf4+ Kh7 Bd6 Kg6 Be5 Kf5 Bc7 Ke4 Bd6 Kd5 Bc7 Kd4 Bb6+ Kd3 Bd8 Ke4 Bc7 Ke3  
 70	 -0.77 	1.22G	0:28.20	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Ke4 Bc7 Kd3 Ba5 Ke3 Bb6+ Ke2 Bc7 Ke1 Ba5+ Kd1 Bb6 Kc2 Bc7 Kc3 Be5+ Kc4 Bc7 Kc5 Ba5 Kd5 Bc7 Ke6 Bf4 Kf6 Bc7 Kg6 Bd6 Kh6 Bf4+ Kg7 Be5+ Kf7 Bc7 Kf6 Bb8 Ke7 Bc7 Kd7 Bb8 R 
 69	 -0.77 	1.05G	0:24.40	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Ke4 Bc7 Kd3 Ba5 Ke3 Bb6+ Ke2 Bc7 Ke1 Be5 Kd2 Bd6 Kc2 Bf4 Kb2 Be5+ Ka3 Bd6+ Ka4 Be5 Ka5 Bc7+ Ka6 Kg4 Kb5 Kg3 Kc4 Bf4 Kb4 Bc7 Kc3 Bd6 Kd4 Bc7 Ke4 Bf4 Rb1 Bd6 Kd5 Bf4 Rf 
 68	 -0.77 	987.9M	0:22.92	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Ke4 Bc7 Ke3 Bf4+ Kd3 Bc7 Kc2 Ba5 Kb2 Bb6 Kc3 Bc7 Kb3 Be5 Kc2 Bc7 Kb1 Be5 Kc1 Bf4+ Kb2 Be5+ Kb3 Bd4 Kc2 Be3 Kd3 Bf4 Kc4 Bc7 Kb5 Be5 Ka6 Bd4 Kb7 Be3 Kc8 Bf4 Kd7 Be5 Ke 
 67	 -0.77 	867.3M	0:20.21	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Kg6 Bc7 Kf7 Kg4 Ke7 Bg3 Ke6 Bc7 Kd5 Kg3 Kc6 Be5 Kc5 Bc7 Kd5 Ba5 Ke4 Bc7 Kd3 Bf4 Ke2 Bd6 Kd1 Bc7 Kc2 Bf4 Kb3 Be5 Ka2 Bd4 Kb1 Bb6 Kb2 Bd4+ Kc2 Ba7 Kd3 Bb8 Kc3 Be5+ Kb3 
 66	 -0.77 	702.1M	0:16.42	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Kg6 Bf4 Kf6 Bc7 Ke6 Bf4 Rf1 Bb8 Rb1 Bc7 Kd7 Be5 Rh1 Bf4 Kc8 Bd2 Kc7 Bf4+ Kb6 Be3+ Kb5 Bd2 Kc6 Bf4 Rf1 Bb8 Kb7 Bd6 Rh1 Be5 Ka6 Bd4 Kb5 Be3 Kc4 Bb6 Kb3 Bc7 Kb4 Be5 Kc4 
 65	 -0.77 	607.6M	0:14.26	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Kg6 Be5 Kg5 Bd6 Kh6 Bc7 Kg7 Be5+ Kf8 Bd6+ Kf7 Bc7 Ke6 Bf4 Kd7 Bd2 Kc6 Bf4 Kb5 Be3 Kb4 Bf4 Kb3 Bd6 Kc3 Bc7 Kd4 Bb6+ Kd3 Bc7 Ke4 Bd6 Kd5 Bc7 Kc5 Bf4 Kc6 Bb8 Kb5 Ba7 Kc 
 64	 -0.77 	573.7M	0:13.48	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Ke6 Bc7 Kd5 Bf4 Rf1 Bc7 Kc6 Be5 Rh1 Bd4 Kd5 Bb6 Ke5 Bd8 Kf5 Bc7 Ke4 Bd6 Kd3 Bc7 Ke2 Bb8 Kd1 Bd6 Kc2 Be5 Kd2 Bc7 Kd3 Bd6 Kc4 Bc7 Kb5 Bf4 Kb6 Be3+ Kb7 Bd4 Kc8 Be3 Kd8  
 63	 -0.77 	463.8M	0:10.84	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Kf6 Bc7 Ke6 Bf4 Kf7 Be5 Kf8 Bc7 Ke8 Be5 Kd8 Bf4 Kc8 Be3 Kd7 Bd2 Ke7 Bf4 Ke6 Kg4 Kd5 Kh4 Ke4 Kg3 Kd3 Kh4 Kc2 Kg3 Kb3 Kg4 Ka3 Bg3 Kb4 Bf4 Kb5 Kg3 Kc6 Be3 Kd5 Bf4 Rf1 B 
 62	 -0.77 	426.8M	0:09.94	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Kf6 Bc7 Ke6 Bf4 Kf7 Be5 Kg8 Bc7 Kh8 Bf4 Kg7 Be5+ Kf7 Bb8 Ke7 Be5 Kd7 Bf4 Ke6 Bc7 Kd5 Bf4 Ke4 Bc7 Kd3 Bf4 Kc2 Be5 Kd2 Bc7 Ke2 Bf4 Kd1 Be5 Kc2 Bf4 Kb3 Be5 Ka4 Bd4 Kb4  
 61	 -0.77 	396.1M	0:09.24	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Kf6 Bc7 Ke7 Be5 Kd7 Bb8 Kc8 Bf4 Kb7 Be3 Kc6 Bf4 Kb6 Be3+ Kb5 Bd4 Ka5 Be3 Kb4 Bd2+ Kb3 Be3 Ka3 Bd2 Kb2 Be3 Kb3 Bd4 Kc2 Be3 Kd3 Bf4 Ke4 Bb8 Kd5 Bf4 Kc6 Be3 Kd7 Bh6 Ke6 
 60	 -0.77 	366.2M	0:08.56	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Kf6 Bc7 Kg6 Bb8 Kg7 Be5+ Kf7 Bf4 Ke6 Bc7 Kd5 Bb6 Kc6 Be3 Kd6 Bf4+ Kd5 Bd2 Kd4 Bf4 Kc3 Bd6 Kb2 Bc7 Kb3 Bb6 Kb4 Be3 Kc3 Bf4 Kc2 Be5 Kb3 Bd6 Ka4 Bc7 Kb5 Be5 Kc5 Bf4 Kb6 
 59	 -0.77 	299.4M	0:07.02	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Ke4 Bf4 Kd5 Be3 Ke6 Bf4 Kf7 Be5 Kg6 Bc7 Kf6 Bb8 Ke7 Bc7 Kd7 Bf4 Kc8 Be3 Kb8 Bd4 Kc7 Bc5 Kd7 Be3 Kc8 Bd4 Kb8 Be5+ Kb7 Bf4 Kb6 Be3+ Kb5 Bf4 Kb4 Be5 Kb3 Bf4 Kc3 Be3 Kc2 
 58	 -0.77 	259.8M	0:06.12	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bb8 Ke6 Bf4 Kd5 Be3 Rb1 Bf4 Ke4 Bc7 Rh1 Bd6 Ke3 Bf4+ Ke2 Bb8 Kd2 Bf4+ Kc3 Be3 Kb3 Bf4 Ka4 Be5 Kb4 Bd6+ Kb5 Bf4 Kc6 Be3 Kb7 Bf4 Ka7 Be5 Kb6 Bd4+ Kb5 Be5 Kc5 Bc7 Kc6 Be5 K 
 57	 -0.77 	214.3M	0:05.08	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rb1 Bc7 Rh1 Bf4 Ke4 Bd6 Rd1 Bb8 Rb1 Bd6 Rh1 Bc5 Kf5 Bd4 Kg6 Be5 Kf7 Bd6 Kg7 Bf4 Kf8 Bd6+ Kf7 Bf4 Ke7 Be5 Ke6 Bb8 Kd5 Bc7 Kc4 Be5 Kb3 Bc7 Ka4 Bd6 Kb5 Be5 Kc4 Bc7 Kb3 Be5 Kc2 Kg4 Kd3  
 56	 -0.77 	197.2M	0:04.69	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rh1 Bf4 Ke4 Bd6 Rd1 Bb8 Rb1 Bd6 Rh1 Bf4 Kd3 Bc7 Kc2 Bf4 Kb1 Be3 Ka2 Bd4 Kb3 Be3 Ka3 Bd4 Kb4 Be3 Kb3 Bd4 Kc4 Be5 Kb5 Bf4 Kb6 Bb8 Ka6 Bf4 Kb7 Be3 Kc8 Bf4 Kd8 Be3 Kd7 Bh6 Ke6 Be3 Kf7 B 
 55	 -0.77 	168.5M	0:04.03	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rh1 Bf4 Ke4 Bd6 Kd5 Bf4 Kc4 Bd6 Kb5 Be5 Kc5 Bf4 Kd5 Bb8 Rb1 Bf4 Ke4 Bd6 Rh1 Bf4 Kd3 Bd6 Kc2 Be5 Kd2 Bf4+ Kc3 Be5+ Kc2 Bc7 Kb3 Bd6 Ka4 Bb8 Ka5 Bd6 Kb6 Bf4 Kb7 Be5 Kc8 Bf4 Kd7 Bh6 Ke7 
 54	 -0.77 	153.1M	0:03.67	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Kf5 Kg3 Rh1 Bf4 Ke4 Bd6 Kd3 Be5 Ke2 Bf4 Ke1 Bb8 Kd1 Bd6 Kd2 Be5 Kd3 Bb8 Kc2 Be5 Kb3 Bb8 Kb4 Bd6+ Kb5 Bf4 Ka5 Bc7+ Ka6 Be5 Kb6 Bf4 Kb5 Bd2 Kc4 Ba5 Kd3 Bc7 Kd4 Bf4 Kd5 Bd2 Rd1 Bf4 Ke4 Bc7 Rc1 
 53	 -0.77 	141.5M	0:03.40	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Ke4 Bd6 Kd3 Be5 Ke2 Bf4 Kd1 Be5 Ke1 Bb8 Kd2 Bf4+ Kc2 Be5 Kb3 Bf4 Kb4 Be3 Kb5 Bd2 Kc6 Be3 Kd5 Bf4 Rf1 Bb8 Rb1 Bf4 Rh1 Kg4 Ke4 Kg3 Kf5 Bc7 Kg6 Bf4 Kf7 Bd6 Ke6 Bf4 Rf1 Bc7 Rc1  
 52	 -0.77 	122.4M	0:02.96	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Ke4 Bd6 Kd3 Bb8 Kc2 Bd6 Kb2 Be5+ Kb3 Bf4 Kb4 Bd6+ Kb5 Bb8 Kc5 Bf4 Kd4 Bh6 Kd3 Bf4 Ke2 Bb8 Ke1 Bf4 Kd1 Be5 Kd2 Kg4 Kd3 Kg3 Kc4 Bf4 Kc5 Be3+ Kb5 Bf4 Ka6 Bc7 Kb7 Be5 Kc6 Bf4 h2 
 51	 -0.77 	100.9M	0:02.47	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Kg6 Bc7 Kg7 Bf4 Kf8 Bd6+ Ke8 Bf4 Kd8 Be3 Ke7 Bf4 Ke8 Be3 Kd8 Bd4 Kd7 Be5 Kc6 Bf4 Kd5 Bd2 Ke4 Bf4 Rf1 Bb8 Rb1 Bc7 Rc1 Bd6 Kd5 Bb8 Rh1 Bf4 Kc4 Bd2 Kd3 Bf4 Kc3 Be5+ Kb3 Bf4 Kb2 
 50	 -0.77 	92.1M  	0:02.26	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Ke6 Bd2 Kf6 Bf4 Kg7 Bc7 Kg6 Bd6 Kf7 Bf4 Ke8 Be3 Kd8 Bd4 Kd7 Be5 Ke6 Bf4 Kd5 Kh4 Ke4 Kg3 Kd3 Be5 Kc4 Bf4 Kb5 Be5 Ka4 Bd4 Kb3 Be5 Ka3 Bd4 Ka4 Be3 Kb5 Bd4 Kc4 Be3 Kd3 
 49	 -0.77 	83.8M  	0:02.08	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Kf6 Bc7 Ke6 Bf4 Kd5 Bd2 Ke4 Bf4 Kd4 Bb8 Kc3 Be5+ Kb3 Bd4 Kc2 Be3 Kd3 Bf4 Ke2 Bb8 Kd2 Bf4+ Kd1 Bb8 Kc2 Be5 Kc1 Bf4+ Kb2 Bd6 Kb3 Bf4 Kb4 Be5 Kb5 Bf4 Kb6 Be3+ Kc6 Bf4 Kb5 Be3  
 48	 -0.77 	68.6M  	0:01.69	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Kf6 Bc7 Ke6 Bf4 Kd5 Bd2 Ke4 Bf4 Kd4 Bh6 Kd3 Bf4 Ke2 Be5 Kd2 Bc7 Kc3 Be5+ Kc4 Bc7 Kd5 Bf4 Kc6 Be5 Kb5 Bf4 Kb4 Bd2+ Ka4 Bf4 Kb5 Bh6 Ka6 Be3 Kb7 Bd4 Kc8 Be3 h2 
 47	 -0.77 	59.0M  	0:01.46	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Kf6 Bd6 Kf7 Bf4 Ke8 Bb8 Kd7 Bf4 Kc6 Be5 Kd5 Bf4 Rf1 Bc7 Kc6 Be5 Rh1 Bf4 Kd7 Be5 Kc8 Bd4 Kb7 Be3 Ka6 Bd4 Kb5 Be5 Kc4 Bd6 Kd3 Be5 Kd2 Bf4+ Kd1 Be3 Ke2 Bf4 Rf1 Be5 
 46	 -0.77 	52.1M  	0:01.30	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Kf6 Bd6 Kf7 Bf4 Ke8 Bb8 Kd7 Be5 Kc6 Bf4 Kb7 Be3 Ka6 Bd4 Kb5 Ba7 Kc4 Be3 Kd3 Bf4 Ke2 Be5 Kd2 Bf4+ Kd3 Be5 Kc4 Bd6 Kb5 Bf4 Kc6 Be3 Kd6 Bb6 Kd5 Be3 
 45	 -0.77 	44.7M  	0:01.13	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Kf6 Bd6 Kf7 Bf4 Kg7 Bb8 Kg6 Bf4 Kf5 Bb8 Ke4 Bf4 Kd5 Be3 Kc6 Bf4 Kb7 Be3 Kc8 Bf4 Kd8 Bb8 Kd7 Be5 Ke6 Bc7 Kd5 Bf4 Kc6 Bb8 Kb5 Bd6 Ka5 Bc7+ Kb4 Bd6+ Kc3 Bf4 Kc2 Be3 Kb2 
 44	 -0.77 	42.2M  	0:01.07	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Kf6 Bd6 Kf7 Bf4 Kg7 Bb8 Kg6 Bf4 Kf5 Bb8 Ke4 Bc7 Kd3 Be5 Ke2 Bf4 Kd1 Bc7 Kd2 Bf4+ Kc3 Bh6 Kb4 Bf4 Ka4 Be3 Kb3 Bf4 Kb4 Bd6+ Kb5 Be5 Kc6 Bf4 Kb6 Be3+ Kb5 
 43	 -0.77 	38.1M  	0:00.97	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Ke4 Bd6 Kd5 Bf4 Kc5 Bb8 Kc4 Bd6 Kb3 Bc5 Kc2 Be3 Kb2 Bf4 Kb3 Bc7 Ka4 Bf4 Kb5 Be5 Kc6 Bf4 Kb7 Be5 Kc8 Bf4 Kd8 Be5 Ke7 Bf4 Kf7 Bd6 Ke6 Bf4 Ke7 Be3 h2 
 42	 -0.77 	33.8M  	0:00.87	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Ke4 Bd6 Kd3 Bf4 Kd4 Bc7 Kc4 Bd6 Kb3 Bf4 Ka4 Be5 Kb5 Bf4 Ka6 Be3 Kb7 Bf4 Kc8 Bd6 Kd7 Bb8 Kc6 Bf4 Kb5 Be5 Kb6 Bd4+ Kc6 Be5 Kd5 Bf4 Rf1 
 41	 -0.77 	30.1M  	0:00.78	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rc1 Bb8 Rh1 Bf4 Ke4 Bd6 Kd3 Bf4 Kc3 Be3 Kc2 Bc5 Kd3 Bd6 Kc3 Be5+ Kc4 Bd6 Kb5 Bb8 Kb6 Be5 Kb7 Kg4 Kc8 Kg3 Kd7 Bb8 Ke7 Bf4 Kf7 Bb8 Kg6 Bc7 Kg5 Be5 h2 
 40	 -0.77 	26.8M  	0:00.70	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bf4 Ke6 Bc7 Kd5 Bf4 Kc6 Be5 Kb7 Kg4 Kb6 Kg3 Kc6 Bb8 Kb5 Bc7 Ka4 Bb6 Kb4 Bc7 Kb5 Bb8 Kc4 Bf4 Kc3 Be5+ Kd2 Bf4+ Ke2 Be5 Ke3 Bb8 Ke4 Bd6 Rd1 Bc7 
 39	 -0.77 	25.1M  	0:00.66	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bf4 Ke6 Bb8 Rb1 Bc7 Kd7 Be5 Rh1 Bf4 Kc6 Be5 Kd5 Bc7 Ke4 Bd6 Kd3 Bf4 Kd4 Bc7 Kc3 Bf4 Kd3 Bb8 Kc4 Bc7 Kb3 Bf4 Ka4 Be5 Ka5 Bc3+ Kb6 Bd4+ Kb7 Bf6 Kc8 Be5 
 38	 -0.77 	21.1M  	0:00.56	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke6 Bc7 Kf6 Bd6 Kg7 Be5+ Kf8 Bd6+ Ke8 Bf4 Ke7 Be5 Kd7 Bb8 Kc6 Bf4 Kb5 Bb8 Kc4 Be5 Kb3 Bd6 Kc3 Be5+ Kc2 Bf4 Kd1 Bd6 Ke1 Bf4 Ke2 Be5 Ke3 Bd6 
 37	 -0.77 	19.5M  	0:00.52	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke6 Bc7 Kd7 Bb8 Kc8 Be5 Kb7 Bd4 Kc6 Be5 Kb5 Bc7 Ka6 Be5 Ka5 Bc7+ Kb5 Be5 Kc6 Bf4 Kd5 Bc7 Kd4 Bf4 Kd3 Bd6 Kd2 Bf4+ Kd1 Be5 Kc2 
 36	 -0.77 	18.0M  	0:00.48	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke6 Bc7 Kd7 Bf4 Kc6 Be5 Kb6 Bf4 Kb7 Kg4 Kc6 Kg3 Kb6 Bb8 Kb5 Be5 Kc4 Bf4 Kd3 Be5 Kc2 Kg4 Kd2 Kg3 Kd3 Bf4 Kc2 Be5 
 35	 -0.77 	16.3M  	0:00.43	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke4 Bc7 Kd4 Bf4 Kd5 Kg4 Ke4 Kg3 Kd4 Kg4 Kd3 Kg3 Kc2 Be5 Kb3 Bd6 Kc4 Bb8 Kb5 Be5 Kc6 Bf4 Kb6 Kg4 Kb5 Kg3 Kc6 
 34	 -0.77 	15.5M  	0:00.41	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke4 Bc7 Kd4 Bf4 Kd5 Kg4 Ke4 Kg3 Kd4 Bb8 Kc4 Be5 Kb5 Bd6 Kb6 Bf4 Kc6 Bb8 Rb1 Be5 Re1 Bb8 Rh1 Bf4 Kb6 Kg4 Ka5 
 33	 -0.77 	14.6M  	0:00.39	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke4 Bc7 Kd4 Bf4 Kd5 Kg4 Ke4 Kg3 Kd4 Bb8 Kc4 Bc7 Kc3 Bf4 Kb3 Be5 Kb4 Bb8 Ka5 Bc7+ Ka6 Bf4 Kb6 Kg4 Ka5 
 32	 -0.77 	14.2M  	0:00.38	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Kf5 Kg3 Rh1 Bd6 Ke4 Bc7 Kd4 Bd6 Kd3 Bf4 Kc2 Be5 Kd2 Bb8 Ke2 Bf4 Kd3 Bd6 Kd4 Bf4 Kd5 Kg4 Ke4 Kg3 Rf1 Bb8 Rb1 Bd6 Kd5 Bc7 
 31	 -0.77 	13.6M  	0:00.37	Kg1 Re1+ Kf2 Rc1 Bb8 Ra1 Bc7 Rd1 Bb8 Rd8 Bc7 Rd7 Bb8 Rb7 Bd6 Rb1 Bc7 Ra1 Bb8 Kh4 Bc7 Rc1 Bd6 Rb1 Be7+ Kg4 Bd6 Rh1 Bc7 Kg5 Kg3 Kf5 Bd6 Ke6 Bc7 Kd5 Bf4 Kc5 Be5 
 30	 -0.82 	12.4M  	0:00.33	Kg1 Re1+ Kf2 Rc1 Bb8 Kg5 Kg3 Rb1 Bd6 Rh1 Bc7 Kh5 Be5 Kg6 Bd6 Kg7 Be5+ Kf7 Bd6 Ke6 Bc7 Kd5 Bf4 Kd4 Bd6 Kc3 Be5+ Kb3 Bb8 Kc2 Be5 Kd1 Bc7 Kd2 
 29	 -0.97 	7.61M  	0:00.21	Kg1 Re1+ Kf2 Rb1 Bc7 Rb7 Bd6 Rd7 Bb8 Rd1 Bc7 Rb1 Bd6 Rc1 Bb8 Rh1 Bd6 Kh4 Be5 Rb1 Bd6 Rb6 Bg3+ Kg4 Bc7 Rc6 Bb8 Rc1 Bd6 Kf5 Kg3 Ke6 Bb8 Rc8 Ba7 Rh8 Kh2 Ke5 Bf2 
 28	 -1.09 	4.22M  	0:00.12	Kg1 Re1+ Kf2 Rh1 Bd6 Rb1 Bc7 Rd1 Bb8 Kh4 Bc7 Rc1 Bf4 Rc4 Bg3+ Kg4 Bb8 Rb4 Bc7 Rb1 Bd6 Rh1 Bc7 Kf5 Kg3 Rc1 Bb8 Rc8 Bd6 Rc6 Bb8 Rb6 Bc7 
 27	 -1.17 	2.47M  	0:00.07	Kg1 Re1+ Kf2 Rh1 Bd6 Kf5 Bc7 Rd1 Bh2 Kg5 Be5 Kh4 Bf6+ Kg4 Be5 Rd5 Bb8 Rb5 Bc7 Rb1 Bd6 Kf5 Bh2 Kg5 Bc7 Rb7 Bd6 Rd7 Bb8 Rd8 Bc7 Rc8 Bd6 Rc6 
 26	 -1.17 	2.06M  	0:00.06	Kg1 Re1+ Kf2 Rh1 Bd6 Kf5 Bc7 Rd1 Bh2 Kg5 Be5 Kh4 Bf6+ Kg4 Be5 Rd5 Bb8 Rb5 Bc7 Rb7 Bd6 Rb6 Bc7 Rc6 Bb8 Rc1 Bd6 Kf5 Bh2 Kg5 Bb8 Kh4 Bd6 Rd1 Be5 Rb1 Bd6 
 25	 -1.17 	1.80M  	0:00.05	Kg1 Re1+ Kf2 Rh1 Bd6 Kf5 Bc7 Rd1 Bh2 Kg5 Be5 Kh4 Bf6+ Kg4 Be5 Rd5 Bb8 Rd8 Bc7 Rc8 Bd6 Rc6 Bb8 Rc1 Bd6 Kf5 Bh2 Kg5 Bb8 Kh4 Bd6 Rd1 Be5 Rb1 Bf6+ Kg4 
 24	 -1.17 	1.65M  	0:00.05	Kg1 Re1+ Kf2 Rh1 Bd6 Rc1 Be5 Rc5 Bb8 Rb5 Bd6 Rb6 Bc7 Rb7 Bd6 Rd7 Bb8 Rd1 Bc7 Kf5 Bh2 Kg5 Be5 Kh4 Bf6+ Kg4 Be5 Rc1 Bb8 Kh4 Be5 Rh1 Bf6+ Kg4 Be5 Kf5 
 23	 -1.17 	1.43M  	0:00.04	Kg1 Re1+ Kf2 Rh1 Bd6 Rc1 Be5 Rc5 Bb8 Rb5 Bd6 Rb6 Bc7 Rb7 Bd6 Rd7 Bb8 Rd8 Bc7 Rd1 Be5 Kf5 Bh2 Kg5 Be5 Rb1 Bd6 Kh4 Be5 
 22	 -1.17 	1.40M  	0:00.04	Kg1 Re1+ Kf2 Rh1 Bd6 Rc1 Be5 Rc5 Bb8 Rb5 Bd6 Rb6 Bc7 Rb7 Bd6 Rd7 Bb8 Rd8 Bc7 Rd1 Be5 Rc1 Bb8 Kh4 Bd6 Ra1 Bc7 Rd1 Be5 Rh1 Bc7 
 21	 -1.17 	1.32M  	0:00.04	Kg1 Re1+ Kf2 Rh1 Bd6 Rc1 Bb8 Kf5 Bh2 Kg5 Bb8 Kg4 Bd6 Rh1 Bc7 Kh4 Be5 Rd1 Bc7 Rb1 Be5 Kg4 Bd6 Kf5 Bh2 
 20	 -1.17 	1.23M  	0:00.04	Kg1 Re1+ Kf2 Rh1 Bc7 Rd1 Be5 Rd5 Bb8 Rd8 Bc7 Rc8 Bd6 Rc6 Bb8 Rb6 Bc7 Rb7 Bd6 Rb1 Be5 Rd1 Bc7 Kh4 Bf4 Rb1 Be5 Rb5 
 19	 -1.17 	1.19M  	0:00.04	Kg1 Re1+ Kf2 Rh1 Bd6 Rd1 Be5 Kg5 Bb8 Kh4 Be5 Rd5 Bg3+ Kg4 Bc7 Rc5 Bb8 Rc1 Be5 Kf5 Bh2 Kg5 Bd6 Rc6 Bb8 
 18	 -1.17 	957247	0:00.03	Kg1 Re1+ Kf2 Rh1 Be5 Kf5 Bc7 Rb1 Bh2 Kg5 Bc7 Kg4 Bd6 Rb6 Bc7 Rc6 Bb8 Rc1 Be5 Rh1 Bd6 Rb1 Bc7 Rd1 Bb8 Rd8 Bc7 Rd7 Bb8 Rd1 Bc7 
 17	 -1.17 	761415	0:00.02	Kg1 Re1+ Kf2 Rh1 Bd6 Rb1 Bc7 Rd1 Be5 Rc1 Bd6 Rc6 Bb8 Rc8 Bd6 Rd8 Bc7 Rd7 Bb8 Rb7 Bd6 Rb6 Bc7 Rb1 Bd6 
 16	 -1.18 	554429	0:00.02	Bb8 Rb6 Bc7 Rb1 Be5 Rh1 Bb8 Kh4 Be5 Rd1 Bc7 Ra1 Be5 Ra5 Bc7 Ra7 Be5 
 15	 -1.17 	492601	0:00.02	Bb8 Rb6 Bc7 Rb1 Be5 Rc1 Bb8 Ra1 Be5 Rb1 Bd6 Rd1 Bc7 Kh4 Be5 Kg5 Bc7 
 14	 -1.20 	461784	0:00.02	Bb8 Rb6 Bc7 Rb1 Bd6 Rh1 Be5 Kg5 Bb8 Kh4 Bc7 Ra1 Be5 Rd1 Bc7 Kg5 
 13	 -1.20 	319244	0:00.01	Bb8 Rb6 Bc7 Rb1 Be5 Rc1 Bd6 Kf5 Bh2 Kg5 Bd6 Rd1 Be5 Rh1 
 12	 -1.23 	282963	0:00.01	Bb8 Rb6 Bc7 Rb1 Be5 Rh1 Bc7 Ra1 Be5 Rb1 Bc7 Kf5 Bh2 
 11	 -1.28 	199021	0:00.01	Kg1 Re1+ Kf2 Rh1 Bc7 Kg5 Kg3 Kf5 Bb6 Kf6 Bc7 
 10	 -1.46 	109243	0:00.00	Bc7 Rc6 Bb8 Rb6 Bc7 Rb7 Bd6 Rd7 Bh2 Kf5 
  9	 -0.95 	37297  	0:00.00	Bc7 Rc6 Be5 Rc5 Bb8 Rc1 
  8	 -1.87 	32080  	0:00.00	Bc7 Rc6 Be5 Rc5 Bb8 Rc1 
  7	 -2.28 	13705  	0:00.00	Bc7 Rc6 Be5 Rc1 Bd6 Rd1 Bc7 Rh1 
  6	 -2.26 	11034  	0:00.00	Bc7 Rc6 Be5 Rc1 Bd6 Ra1 
  5	 -2.02 	6172    	0:00.00	Kg1 Re1+ Kf2 Rd1 Bc7 
  4	 -2.17 	4903    	0:00.00	Kg1 Re1+ Kf2 Rc1 Be5 
  3	 -2.23 	3293    	0:00.00	Kg1 Re1+ Kf2 Ra1 
  2	 -2.23 	2321    	0:00.00	Kg1 Re1+ Kf2 
  1	 -1.90 	976      	0:00.00	Bc7 
  0	# 

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