Leela (lack of) endgame technique?

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OliverBr
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Re: Leela (lack of) endgame technique?

Post by OliverBr »

Hi Dann :)
Thank
Dann Corbit wrote: ↑Sun May 31, 2020 8:34 am I think it is positional, not tactical, because of the score at move 18 and because LC0 is an infant, tactically. OK, She'll tear my head off and score a soccer goal with it, but I am comparing her to Stockfish and other Alpha-Beta engines.
You are correct. It looked tactical on first sight, but Leela hardly does any tactics. Have you every tried to led her play a non-standard chess where pieces are not on the place where they are supposed to be? It's hilarious, she then is playing moves like 1... a5, 2... a4 and 3...h5
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MikeGL
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Re: Leela (lack of) endgame technique?

Post by MikeGL »

OliverBr wrote: ↑Sun May 31, 2020 12:54 pm Hi Dann :)
Thank
Dann Corbit wrote: ↑Sun May 31, 2020 8:34 am I think it is positional, not tactical, because of the score at move 18 and because LC0 is an infant, tactically. OK, She'll tear my head off and score a soccer goal with it, but I am comparing her to Stockfish and other Alpha-Beta engines.
You are correct. It looked tactical on first sight, but Leela hardly does any tactics. Have you every tried to led her play a non-standard chess where pieces are not on the place where they are supposed to be? It's hilarious, she then is playing moves like 1... a5, 2... a4 and 3...h5
I am curious how Lc0 plays in Chess960, do you have sample pgn games?
I thought it was learning positional chess by self-play and therefore can still play decent chess even in chess960.
I told my wife that a husband is like a fine wine; he gets better with age. The next day, she locked me in the cellar.
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OliverBr
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Re: Leela (lack of) endgame technique?

Post by OliverBr »

MikeGL wrote: ↑Sun May 31, 2020 6:37 pm I am curious how Lc0 plays in Chess960, do you have sample pgn games?
I thought it was learning positional chess by self-play and therefore can still play decent chess even in chess960.
Actually Leela needs a lot of matches in order to play with decent strength. That is more than 100 Millions. So, if you give here a position which is far away from all those positions she learned, she is weak.
Stockfish is much stronger in this aspect.

If you want I can let her play a Chess960 game against Stockfish. Do you have a special position in mind?
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carldaman
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Re: Leela (lack of) endgame technique?

Post by carldaman »

If that's true, isn't Leela's learning pretty much the same reinforcement learning that Michael Sherwin said it was back in 2017?
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carldaman
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Re: Leela (lack of) endgame technique?

Post by carldaman »

MOBMAT wrote: ↑Sun May 31, 2020 7:40 am
I'm quite skeptical about doing no rollouts also in late endgame.
The search needs to choose a move (out of many winning moves) that leads to a sure win.

I strongly doubt the NN can learn this for all kind of possible, and sometimes very difficult to win, endgame situations.
[/quote]

Is Leela using classic MCTS back-propagation or is it using a MCTS solver? A solver should provide better endgame performance.
[/quote]

I've just remembered that Leela is not the only one that trolls the endgames, but also Komodo MCTS - and the authors there blamed it on MCTS + syzygy TBs. So, maybe it' more of a MCTS than a NN issue with Leela, too? I wish someone would explain this well once and for all.
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MOBMAT
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Re: Leela (lack of) endgame technique?

Post by MOBMAT »

There is a big difference between finding any winning line and finding the "shortest" winning line. I think that is why Leela is accused of trolling so often. In a tournament game scenario, where you might have a potentially short amount of time to "think", then who cares if the move selection is a mate in 10 or a mate in 30. If you play the line correctly, you will win.
If Leela were to use Nalimov, Lomonosov (or others) which give true DTM scores, then the trolling might not be so noticeable.
I'm not sure what Leela does in it's roll-out, but If memory serves, it is a "smart" roll-out rather than a completely random one. It probably is using EGTB during that process.
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carldaman
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Re: Leela (lack of) endgame technique?

Post by carldaman »

Yeah, it must be primarily a search issue and TBs+DTM would really help. I suppose a specialized net like Ender can make up for some of the search issues.
I know a long win counts the same as a short win, but as I said elsewhere it is a matter of efficiency not just aesthetics to win quickly.
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jp
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Re: Leela (lack of) endgame technique?

Post by jp »

OliverBr wrote: ↑Sat Jun 06, 2020 12:54 am If you want I can let her play a Chess960 game against Stockfish. Do you have a special position in mind?
How about BBNNRKRQ? You'd need to play two games with colors reversed though.

And then RBNQKNBR, which is closest to "normal".
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yurikvelo
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Re: Leela (lack of) endgame technique?

Post by yurikvelo »

[pgn][Event "LC0 24x320-1938 vs SF 06.06.2020 4CPU"]
[Date "2020.06.07"]
[White "Lc0 CUDA"]
[Black "Stockfish_20060616_x64_modern"]
[Result "0-1"]
[ECO "A03"]
[Opening "Bird Opening"]
[Time "19:13:09"]
[TimeControl "600+3"]
[Termination "adjudication"]
[PlyCount "111"]

1. g3 d5 2. Bg2 Nf6 3. f4 g6 4. Nf3 Bg7 5. O-O O-O 6. d3 c5 7. Nc3 d4 8.
Ne4 Qc7 9. Nxf6+ {(9.Nxf6+ exf6 10.e4 dxe3 11.Bxe3 Rd8 12.Qe2 f5 13.c3 Be6
14.Rfd1 Bd5 15.d4 cxd4 16.Nxd4 Bxg2 17.Kxg2) -0.14/8 9} exf6 {(9. ... exf6
10.e4 dxe3 11.Bxe3 Rd8 12.Qe2 f5 13.c4 Bd7 14.Rad1 Bc6 15.Qf2 Nd7 16.h3 b6
17.Rfe1 Bb7 18.b3 Re8 19.Kh2 Nf6 20.Ne5 Bxg2 21.Qxg2 Rac8 22.Qf3 Nd7 23.d4
cxd4 24.Bxd4 Rcd8 25.Bc3 Bxe5 26.Bxe5 Nxe5) +0.78/31 21} 10. e4 {(10.e4
dxe3 11.Bxe3 Be6 12.Re1 Rd8 13.Qe2 Bf8 14.d4 Bd5 15.Rad1 Na6 16.c4 cxd4
17.cxd5 dxe3) -0.12/11 3} dxe3 {(10. ... dxe3 11.Bxe3 Rd8 12.Qe2 f5 13.Rad1
Bxb2 14.d4 cxd4 15.Nxd4 Nc6 16.c3 Nxd4 17.Bxd4 Ba3 18.Qb5 Be6 19.Qxb7 Qxb7
20.Bxb7 Rab8 21.Bf3 a5 22.Ba7 Rbc8 23.Rxd8+ Rxd8 24.Bd4 Rb8 25.Rf2 Rc8
26.Rd2 Bc5 27.Kg2) +0.68/32 11} 11. Bxe3 {(11.Bxe3 Be6 12.Re1 Bd5 13.f5 Nd7
14.Bf4 Qb6 15.b3 Rfe8 16.Qd2 g5 17.Be3 Qc6 18.Qf2 g4 19.Nd2 Bxg2 20.Qxg2)
-0.12/10 2} Rd8 {(11. ... Rd8 12.Qe2 f5 13.Rad1 Re8 14.c3 b6 15.Qd2 Nd7
16.d4 Bb7 17.d5 Qd6 18.Rfe1 Re7 19.Qd3 Rae8 20.Bf2 Re4 21.Nd2 Rxe1+ 22.Rxe1
Rxe1+ 23.Bxe1 Qe7 24.Bf2 Nf6 25.Bf3 Ne8 26.Nf1 Nd6 27.Ne3 h6 28.b3 Bc8
29.h3 Qe8 30.c4) +0.61/32 37} 12. Qe2 {(12.Qe2 f5 13.Rad1 Bxb2 14.d4 Re8
15.d5 Nd7 16.Qd2 Qd6 17.c3 Ba3 18.Ne5 Nb6 19.Rb1 f6 20.Rxb6 axb6 21.Nc4 Qd8
22.Rb1 b5 23.Rxb5) -0.12/10 22} f5 {(12. ... f5 13.Rad1 Re8 14.c3 Be6 15.c4
Nc6 16.b3 Rad8 17.Qf2 b6 18.d4 Nxd4 19.Nxd4 cxd4 20.Bxd4 Qd6 21.Bd5 Bxd4
22.Rxd4 Qc5 23.Rdd1 Qc7 24.Bg2 Bd7 25.Qf3 b5 26.Qb7 Qxb7 27.Bxb7 bxc4
28.bxc4 Be6 29.Rxd8 Rxd8 30.c5 Rd2) +0.55/33 4} 13. Rad1 {(13.Rad1 Bxb2
14.d4 Re8 15.d5 Nd7 16.d6 Qa5 17.Qd3 Rb8 18.Rfe1 Nf6 19.Ne5 Be6 20.Bd2 Qxa2
21.Bc3 Red8 22.Bxb2 Qxb2 23.c4 Nd7 24.Bd5) -0.10/13 19} Re8 {(13. ... Re8
14.Qd2 Be6 15.Rfe1 Nd7 16.d4 Nf6 17.dxc5 Rad8 18.Bd4 Ne4 19.Qe3 Bxd4
20.Rxd4 Nxc5 21.Rxd8 Rxd8 22.Nd4 Bd7 23.Nf3 Re8 24.Qf2 Rxe1+ 25.Nxe1 a5
26.Qe3 b5 27.Nf3 Qd6 28.Qd4 Qxd4+ 29.Nxd4 Ne6 30.c3 b4 31.Nb3 a4 32.Nd4
Nxd4 33.cxd4) +0.41/33} 14. c3 {(14.c3 b6 15.Ne5 Bb7 16.d4 Nd7 17.Qc4 Nxe5
18.dxe5 Rad8 19.Bxb7 Qxb7 20.b4 cxb4 21.cxb4 Bf8 22.a3 Rc8 23.Qd5 Qa6)
-0.10/11 27} Be6 {(14. ... Be6 15.Ne5 Nd7 16.d4 cxd4 17.cxd4 Nb6 18.Rc1 Qb8
19.Qb5 Rd8 20.Bf2 Nd5 21.Rfe1 a6 22.Qe2 Qd6 23.Nc4 Qb4 24.Ne5 Qb5 25.Qxb5
axb5 26.a3 b4 27.axb4 Nxb4 28.Rc7 Rab8 29.Rxb7 Rxb7 30.Bxb7 Rb8 31.Bg2 Rc8
32.Rd1 Bd5 33.Nd3 Nxd3 34.Bxd5 Nxb2) +0.41/35 58} 15. Ne5 {(15.Ne5 Nd7
16.d4 Bxa2 17.Ra1 Nxe5 18.fxe5 cxd4 19.cxd4 Bc4 20.Qc2 Rac8 21.Rfc1 Qb6
22.Ra3 Be6 23.Qd2 Rxc1+ 24.Qxc1 Qb5 25.Qd2 Bf8 26.Rxa7 Bb4 27.Qd1 Rb8 28.h4
Bd5 29.Bxd5 Qxd5 30.Ra1 Rc8) -0.04/14 7} Nd7 {(15. ... Nd7 16.d4 cxd4
17.cxd4 Nb6 18.Rc1 Qe7 19.Qb5 Red8 20.Qc5 Rd6 21.Bf2 Bd5 22.Qc7 Re6 23.a4
Bxg2 24.Kxg2 Rd8 25.Qxe7 Rxe7 26.a5 Nd5 27.Rfe1 Bf8 28.Nd3 Rxe1 29.Rxe1 Rc8
30.Rc1 Rxc1 31.Nxc1 Bb4 32.Nb3 b6 33.a6 b5 34.Nc5) +0.59/31} 16. d4 {(16.d4
Bxa2 17.Ra1 Nxe5 18.fxe5 cxd4 19.cxd4 Bc4 20.Qc2 Rac8 21.Rfc1 Qb6 22.Ra3
Be6 23.Qd2 Rxc1+ 24.Qxc1 Qb5 25.Qd2 Bf8 26.Rxa7 Bb4 27.Qd1 Rb8 28.Ra1 Rd8
29.Qf1 Bc4 30.Qf2 Bd5 31.Bxd5) -0.04/15 11} cxd4 {(16. ... cxd4 17.cxd4 Nb6
18.Rc1 Qb8 19.Qb5 Rd8 20.Bf2 Nd5 21.Rfe1 a6 22.Qe2 Qd6 23.Rc5 Rac8 24.h4 b6
25.Rxc8 Bxc8 26.Nc4 Qc7 27.Bxd5 Rxd5 28.Nxb6 Qxb6 29.Qe8+ Bf8 30.Qxc8 Rd8
31.Qc4 Qb7 32.b3 Rc8 33.Qf1 a5 34.Rc1 Rxc1 35.Qxc1 Qe4 36.Kh2 Kg7)
+0.51/33} 17. cxd4 {(17.cxd4 Nb6 18.Rc1 Qb8 19.Qb5 Rd8 20.Bf2 Nd5 21.Rfe1
a6 22.Qa5 Qd6 23.Qc5 Qb8 24.Qa5 Bf8 25.a3 Qd6 26.Nc4 Qd7) -0.06/12 20} Nb6
{(17. ... Nb6 18.Rc1 Qe7 19.Qb5 Red8 20.Rfe1 Nd5 21.Bf2 a6 22.Qb3 Bf8
23.Nd3 Qd7 24.Qd1 b6 25.Ne5 Qb7 26.Qe2 Rac8 27.a3 Bg7 28.h4 Qa8 29.h5 gxh5
30.Qxh5 Rxc1 31.Rxc1 Rc8 32.Rxc8+ Qxc8 33.Qd1 a5 34.Be1 Qc7 35.Bf2 Qb8
36.Qb3 Qd6 37.Qa4) +0.54/34} 18. Rc1 {(18.Rc1 Qb8 19.Qb5 Rd8 20.Rfe1 Nd5
21.Bf2 a6 22.Qa5 Qd6 23.Qc5 Qb8 24.Qa5 Bf8 25.a3 Qd6 26.Nc4 Qb8 27.Nb6
Nxb6) -0.08/12 14} Qe7 {(18. ... Qe7 19.Qb5 Red8 20.Rfe1 Nd5 21.Bf2 a6
22.Qb3 Bf8 23.Nd3 Qd7 24.Ne5 Qb5 25.Qxb5 axb5 26.Nd3 Rxa2 27.Nc5 Nb4
28.Nxe6 fxe6 29.Bf1 Rxb2 30.Rc7 b6 31.Rb7 Nc2 32.Rd1 Bg7 33.d5 Rxd5 34.Rb8+
Kf7 35.Rb7+ Kf6 36.Rxd5 exd5 37.Rxb6+ Kf7 38.Bxb5) +0.41/32} 19. Qb5
{(19.Qb5 Rad8 20.Bf2 Nd5 21.Qc5 a6 22.Qxe7 Rxe7 23.Rfd1 h6 24.h4 Bf6 25.Bf3
g5 26.hxg5 hxg5 27.Nd3) -0.04/11 19} Red8 {(19. ... Red8 20.Qc5 Rd6 21.Bf2
Bf8 22.Qc7 Nd5 23.Qxe7 Bxe7 24.Rfe1 Rdd8 25.Re2 Bf8 26.Nd3 b6 27.Rec2 h6
28.Ne5 Re8 29.Bf3 Kg7 30.h3 Be7 31.Nc6 Bd6 32.Ne5 a5 33.Rc6 Rad8 34.a3 Be7
35.Nc4 Rc8 36.Ne3 Rxc6 37.Rxc6) +0.46/34 5} 20. Qc5 {(20.Qc5 Rd6 21.Bf2 Bf8
22.Rfe1 Nd5 23.Nc4 Rdd8 24.Qxe7 Bxe7 25.a3 Bf6 26.Ne5 Rac8 27.Rc5 b6
28.Rcc1 Ne7 29.Bb7 Rxc1) -0.01/12 23} Rd6 {(20. ... Rd6 21.Bf2 Bf8 22.Qc7
Nd5 23.Qxe7 Bxe7 24.Rfe1 Kg7 25.Nd3 b6 26.Ne5 Bf6 27.b4 h6 28.a4 g5 29.Be3
Rdd8 30.Bd2 Rac8 31.Nc6 Rd7 32.b5 Rdc7 33.h3 a5 34.fxg5 hxg5 35.Kf2 Rh8
36.Ne5 Rcc8 37.Rxc8 Rxc8 38.Rc1 Rh8 39.Rc6 Be7 40.Bxd5 Bxd5 41.Rxb6)
+0.66/34} 21. Bf2 {(21.Bf2 Bf8 22.Rfe1 Qd8 23.Qc7 Nd5 24.Qxd8 Rdxd8 25.a3
Rac8 26.Bf3 Kg7 27.Kf1 h6 28.h4 Bd6 29.Nd3) -0.01/12 11} Bf8 {(21. ... Bf8
22.Qc7 Nd5 23.Qxe7 Bxe7 24.Rfe1 Rdd8 25.Re2 Bd6 26.Nd3 b6 27.Rec2 h6 28.Ne5
Kg7 29.a3 Rh8 30.Bf3 g5 31.Nc4 Rad8 32.Ne3 Bb8 33.fxg5 hxg5 34.Bxd5 Bxd5
35.Nxf5+ Kf6 36.Ne3 Be4 37.Re2 Bf3 38.Rd2 g4 39.b3 Kg5 40.Ng2) +0.61/35 12}
22. Rfe1 {(22.Rfe1 Nd5 23.Nc4 Rdd8 24.Qxe7 Bxe7 25.a3 Bf6 26.Ne5 Rac8
27.Rc5 b6 28.Rcc1 Kg7 29.Bf3 g5 30.fxg5 Bxg5) -0.01/12 12} Qd8 {(22. ...
Qd8 23.Qc7 Nd5 24.Qxd8 Rdxd8 25.Nd3 Nf6 26.Bxb7 Rab8 27.Bg2 Bxa2 28.Re2 Bd5
29.Bxd5 Rxd5 30.Rc7 Ne4 31.Be3 a5 32.Nc5 Rbd8 33.Nd3 Nd6 34.Ne5 Rb5 35.Kf2
Re8 36.Ra7 Bg7 37.Kf3 Ne4 38.Ra6) +0.88/33 18} 23. Qc7 {(23.Qc7 Nd5 24.Qxd8
Rdxd8 25.a3 Rac8 26.Bf3 Kg7 27.Kf1 h6 28.h4 Bd6 29.Nd3 b6 30.Ne5) -0.02/10
23} Nd5 {(23. ... Nd5 24.Qxd8 Rdxd8 25.Nd3 Nf6 26.Bxb7 Rab8 27.Bf3 Bxa2
28.Re2 Bd5 29.Bxd5 Nxd5 30.Ra1 Ra8 31.Ra5 a6 32.Kg2 Nb4 33.Rd2 Nxd3 34.Rxd3
Bb4 35.Re5 a5 36.Re2 a4 37.h3 Bf8 38.g4 Rab8 39.gxf5 gxf5 40.d5 Rb5 41.Rc2
Bd6 42.Bh4 Re8 43.Bf6 Bxf4) +0.66/34 8} 24. Qxd8 {(24.Qxd8 Rdxd8 25.a3 Rac8
26.Bf3 Kg7 27.Kf1 h6 28.h4 Bd6 29.Nd3 b6 30.Ne5 Re8) -0.02/10 4} Rdxd8
{(24. ... Rdxd8 25.Nd3 b6 26.Ne5 a5 27.Nc4 Rab8 28.Ne5 Rd6 29.Nc4 Rc6
30.Ne5 Rxc1 31.Rxc1 Kg7 32.a3 a4 33.Rc2 Bd6 34.Rc6 Be7 35.Rc2 Ra8 36.Be1 h5
37.Rc6 Rd8 38.Bxd5 Bxd5 39.Rxb6 Rc8 40.Bc3 h4 41.Kf2 f6 42.Nd7 hxg3+
43.hxg3 Rh8) +0.56/34 12} 25. a3 {(25.a3 Rac8 26.Bf3 Kg7 27.Kf1 h6 28.h4
Bd6 29.Nd3 b6 30.Ne5 Ne7 31.Nc6 Nxc6) -0.02/8 23} Rac8 {(25. ... Rac8
26.Bf3 Rb8 27.Bg2 a6 28.Nc4 h6 29.Ne5 Kg7 30.Nc4 b6 31.Rc2 a5 32.Rec1 Be7
33.h3 Bf6 34.Ne5 Rd6 35.Rc6 Rbd8 36.h4 Be7 37.R6c2 Rb8 38.Bf3 Re8 39.Rc6
Red8 40.Rxd6 Rxd6 41.Kg2 Bf8 42.Kg1 Rd8 43.Rc6 a4 44.Kg2 Be7 45.Be2 Rb8
46.Rc1) +0.57/36 50} 26. Kf1 {(26.Kf1 Kg7 27.Bf3 h6 28.h4 b6 29.Ke2 Bd6
30.Be3 Nf6 31.Rxc8 Rxc8 32.Rc1 Rxc1 33.Bxc1 Ne4 34.Bxe4 fxe4 35.Nc6 a5)
-0.03/9 45} Kg7 {(26. ... Kg7 27.Ke2 Rb8 28.Be3 Be7 29.Kf2 h5 30.Bd2 Bf6
31.Ba5 Rd6 32.Bd2 h4 33.a4 a6 34.a5 Rdd8 35.Rc5 Be7 36.Rcc1 Rh8 37.Nd3 Bf6
38.Ne5 h3 39.Bf3 Rbd8 40.Rc5 Be7) +0.73/28 11} 27. Bf3 {(27.Bf3 h6 28.h4 b6
29.Ke2 Bd6 30.Be3 Nf6 31.Bb7 Rxc1 32.Rxc1 Ne4 33.d5 Bd7 34.Kf3 Ba4 35.b4)
-0.05/8 16} h5 {(27. ... h5 28.Ke2 Rb8 29.Kf1 a5 30.Nc4 b6 31.Ne5 Rbc8
32.Ke2 Bd6 33.Kf1 h4 34.Nc4 Rc6 35.Ne5 Rxc1 36.Rxc1 h3 37.Rc6 Bf8 38.a4 Be7
39.Rc2 Bb4 40.Rc6 Nf6 41.Rxb6 Ng4 42.Bg1 Bd5 43.Bxd5 Rxd5 44.Nxg4) +0.66/32
35} 28. h4 {(28.h4 b6 29.Red1 Bd6 30.Kg1 Re8 31.Re1 Nf6 32.Nc6 Rc7 33.d5
Bd7) 0.00/8 12} Re8 {(28. ... Re8 29.Kg1 Red8 30.Kf1 a6 31.Nd3 b6 32.Ne5 a5
33.Ke2 a4 34.Be3 Nf6 35.Rxc8 Rxc8 36.Rc1 Rxc1 37.Bxc1 Ne4 38.Bxe4 fxe4
39.Bd2 f6 40.Nc6 Bd5 41.Nb4 Bxb4 42.Bxb4 Kf7 43.Bd6 Ke6 44.Bc7 b5 45.Ke3
Kd7 46.Ba5 f5 47.Bd2 Bb3 48.Ba5 Kc6) +0.47/32 48} 29. Red1 {(29.Red1 Red8
30.Ke2 Bd6 31.Kf1 Be7 32.Ke1 Bd6 33.Kd2) +0.02/7 27} b6 {(29. ... b6 30.Kg1
Bd6 31.Nc4 Be7 32.Ne5 Bf8 33.Kg2 Red8 34.Kf1 Bd6 35.Bg2 Rxc1 36.Rxc1 Nf6
37.Be1 Ne4 38.Bxe4 fxe4 39.Ke2 Bd5 40.Bb4 Bb8 41.Bd2 Kf6 42.Ke3 Ke6 43.Nc6
Rc8 44.Nxb8 Rxb8 45.Kf2 a5 46.b4 axb4) +0.57/30 9} 30. Rc6 {(30.Rc6 Rxc6
31.Nxc6 a6 32.Ne5 Rc8 33.Ke2 Bd6 34.Kd2 Nf6 35.d5 Bxd5 36.Bxd5 Nxd5 37.Ke1
Bxe5 38.fxe5 Rd8 39.Bxb6 Rb8 40.Bc5 Nc7 41.b4) +0.01/8 16} Rxc6 {(30. ...
Rxc6 31.Nxc6 a6 32.Rc1 Rc8 33.Ke2 Bd6 34.Be3 Nf6 35.Ne5 Rxc1 36.Bxc1 Ne4
37.Kd3 Bd5 38.Ke3 a5 39.Bd2 Bc7 40.Nd3 Nf6 41.a4 Bxf3 42.Kxf3 Kf8 43.b4 Ne4
44.Be1 Ke7 45.bxa5 bxa5 46.Ne5 Ke6 47.d5+ Kxd5 48.Nxf7 Nc5 49.Bf2 Nxa4
50.Ne5 Nc5 51.Nxg6) +0.90/32 7} 31. Nxc6 {(31.Nxc6 a6 32.Ne5 Rc8 33.Ke1 Be7
34.Rd2 Rc1+ 35.Rd1 Rc7 36.Kd2 Nf6 37.d5 Bxd5 38.Bxd5 Nxd5) 0.00/11 2} a6
{(31. ... a6 32.Rc1 Rc8 33.Ke2 Nf6 34.d5 Nxd5 35.Kd2 b5 36.b4 Bd6 37.Na5
Rxc1 38.Kxc1 Kf8 39.Nb7 Bc7 40.Nc5 a5 41.Nxe6+ fxe6 42.Bc5+ Ke8 43.Be2 Nc3
44.Bd3 Ne4 45.Bxb5+ Kf7 46.a4 axb4 47.Bxb4 Nxg3 48.Bd2 Ne4 49.a5 Nxd2
50.Kxd2 Bxa5+ 51.Ke3 Bc3 52.Bc6) +0.50/37 43} 32. Ne5 {(32.Ne5 Rc8 33.Ke1
b5 34.Nd3 Nf6 35.Bb7 Re8 36.Ne5 Bb3 37.Rc1 b4 38.axb4 Bxb4+ 39.Ke2 a5
40.Be1 Bxe1 41.Kxe1 Rd8 42.Nc6 Re8+ 43.Ne5 Rd8 44.Nc6 Re8+) -0.01/12 14}
Rc8 {(32. ... Rc8 33.Ke1 Rc2 34.Rd2 Rc7 35.Rd1 Bd6 36.Ke2 Be7 37.Be3 Rc2+
38.Rd2 Rc1 39.Bf2 Bd8 40.Rd1 Rc8 41.Be3 Rc2+ 42.Rd2 Rc1 43.Bf2 Be7 44.Rd1
Rc8 45.Rd2 b5 46.Nd3 a5 47.Nc5 Nf6) +0.70/31 9} 33. Ke2 {(33.Ke2 a5 34.Nd3
Nf6 35.d5 Nxd5 36.Bxd5 Bxd5 37.Bxb6 a4 38.Ke3 Kg8 39.Bd4 Re8+ 40.Kf2 Bc4
41.Ne5 Bb5 42.Rc1) -0.02/11 28} Rc2+ {(33. ... Rc2+ 34.Rd2 Rc1 35.Rd1 Rc7
36.Kd2 f6 37.Nd3 Kf7 38.Be2 a5 39.Rc1 Rxc1 40.Nxc1 Nc7 41.Bd3 b5 42.d5 Bd7
43.Bb6 Nxd5 44.Bxa5 Bc5 45.Ne2 Ke6 46.Bb1 Kd6 47.Bc3 Nxc3 48.Kxc3 Bf2
49.Ba2 Be6 50.Bxe6 Kxe6 51.Kb4 Kd5 52.Kxb5 Ke4) +0.57/31 10} 34. Rd2
{(34.Rd2 Rc1 35.Nd3 Rc7 36.Ne5 Bd6 37.Kd1 Kf8 38.Rc2 Nf6 39.Rxc7 Bxc7
40.Bb7 a5) 0.00/10 10} Rc7 {(34. ... Rc7 35.Rd1 Bd6 36.Kd2 Nf6 37.d5 Bxd5
38.Bxb6 Bxf3 39.Bxc7 Ne4+ 40.Ke1 Bxd1 41.Bxd6 Ba4 42.Bb4 Nxg3 43.Kf2 Ne4+
44.Ke3 Nf6 45.Kd4 Bb5 46.b3 Be2 47.a4 Bd1 48.Kc4 Ne4 49.Nd7 f6 50.Nc5 Kf7
51.a5 g5 52.Nxe4 fxe4 53.fxg5 fxg5 54.hxg5 Ke6 55.g6 Kf6 56.Kd5 Bxb3+
57.Kxe4 Kxg6) +0.54/33 6} 35. Kd1 {(35.Kd1 f6 36.Nd3 Ne7 37.Nc1 Bd5 38.Be2
b5 39.Nd3 Nc8 40.Nc5 Nd6 41.Rc2 Ra7 42.Ke1 Kf7 43.Kf1 Ne4 44.Be1 Bd6 45.Rc1
Rc7) +0.02/11 14} Bd6 {(35. ... Bd6 36.Nd3 Kg8 37.Ne5 Kf8 38.Nd3 f6 39.Rc2
Ke8 40.a4 Bf7 41.Kd2 Ke7 42.Kd1 Rxc2 43.Kxc2 Nc7 44.Nc5 a5 45.Nd3 Nd5
46.Kd2 Ke6 47.Bd1 Be7 48.Bb3 Be8 49.Nc1 b5 50.axb5 Bxb5 51.Nd3 Bb4+ 52.Nxb4
axb4 53.Kc2) +0.46/32 10} 36. Rc2 {(36.Rc2 Kf8 37.Be2 b5 38.Nd3 Ke7
39.Rxc7+ Bxc7 40.Nc5 Bc8 41.Bf3 Kd6 42.Kc2 Ba5 43.Nd3 Bb6) +0.09/9 15} Bxe5
{(36. ... Bxe5 37.dxe5 Ne3+ 38.Bxe3 Bb3 39.e6 Rxc2 40.e7 Rc7+ 41.Kd2 Rxe7
42.Bxb6 Rd7+ 43.Ke3 Bd1 44.Ba8 f6 45.Ba5 Bc2 46.Bf3 Rd3+ 47.Kf2 Bd1 48.Bg2
Ba4 49.Bf3 Rb3 50.Bc3 a5 51.Ke3 Rb8 52.Bg2 Bd7 53.Bd5 a4 54.Kd4 Re8 55.Bb4
Re2 56.Bc3) +2.84/32 6} 37. fxe5 {(37.fxe5 Ne3+ 38.Bxe3 Bb3 39.Kd2 Rxc2+
40.Kd3 Rxb2 41.Kc3 Rb1 42.Bc6 Bd1 43.Kd2 Rb3 44.d5 Bf3 45.Bb7 Kf8 46.Bh6+
Ke8 47.Bc6+ Kd8 48.Bg5+ Kc8 49.Kc2 Rxa3 50.Kb2 Ra5 51.Bd2) -1.54/14 19}
Ne3+ {(37. ... Ne3+ 38.Bxe3 Bb3 39.Bd5 Bxc2+ 40.Ke2 Be4 41.Bb3 Rd7 42.a4
Bd5 43.Bc2 Rc7 44.Bd3 b5 45.axb5 axb5 46.Bd2 Rd7 47.Bb4 f6 48.exf6+ Kxf6
49.Bc2 Ra7 50.Ba3 Ra8 51.Kd2 Ke6 52.Bd1 Kd7 53.Be2 Rb8 54.Bc5 Kc6 55.Bd1
Ra8 56.Ba3 Re8 57.Bc5) +2.98/35 12} 38. Bxe3 {(38.Bxe3 Bb3 39.Kd2 Rxc2+
40.Kd3 Rxb2 41.Kc3 Rb1 42.Bc6 Bd1 43.d5 Rb3+ 44.Kd4 Be2 45.Bg5 Rd3+ 46.Kc4
Rxg3+ 47.Kd4 Rd3+ 48.Kc4 f4 49.Bxf4 Rf3+ 50.Kd4 Rxf4+ 51.Ke3 Rxh4 52.d6)
-1.88/15 3} Bb3 {(38. ... Bb3 39.Bd5 Bxc2+ 40.Ke1 Be4 41.Bb3 Rd7 42.Kd2 b5
43.a4 Bd5 44.Bd1 bxa4 45.Bxa4 Rc7 46.b4 Kf8 47.Kd3 Ke7 48.Bd2 Ke6 49.Bd1
Rc8 50.Ke3 f6 51.exf6 Kxf6 52.Be2 Bc4 53.Bf3 Bb5 54.Bd1 Ke6 55.Bb3+ Bc4
56.Bd1 Rc7 57.Kf4 Bd5 58.Ke3 Kf6 59.Kd3 Rc6 60.Ke3 Kf7 61.Be2 Ke6 62.Bd1)
+3.00/39 5} 39. Kd2 {(39.Kd2 Rxc2+ 40.Kd3 Rxb2 41.Kc3 Rb1 42.Bc6 Bd1 43.d5
Rb3+ 44.Kd2 Bf3 45.Bb7 Kf8 46.a4 Be4 47.Ke2 b5 48.a5 b4 49.Bc5+ Ke8
50.Bc6+) -2.07/14 40} Rxc2+ {(39. ... Rxc2+ 40.Kd3 b5 41.Ba8 Rxb2 42.Kc3
Rb1 43.d5 Bc4 44.Kc2 Rb3 45.Bd4 Rd3 46.Bc3 b4 47.axb4 Kf8 48.Bd2 Rxg3
49.Bh6+ Kg8 50.Bc6 Bd3+ 51.Kc3 Bb5+ 52.Kc2 Rg4 53.Bxb5 axb5 54.d6 Re4
55.Bg5 Rd4 56.Kc3 Rd5 57.Kc2 Kf8 58.Kc3 Ke8 59.Bf4 Kd7) +3.90/28 9} 40. Kd3
{(40.Kd3 Rxb2 41.Kc3 Rb1 42.Bc6 Bd1 43.d5 Rb3+ 44.Kd2 Bf3 45.Bb7 Kf8 46.a4
Be4 47.Ke2 Rb2+ 48.Ke1 b5 49.a5 b4 50.Bc5+) -2.17/14} b5 {(40. ... b5 41.d5
Rxb2 42.Kc3 Rb1 43.Bd4 Kf8 44.d6 Ba4 45.Bd5 a5 46.Bc5 Kg7 47.Bb7 Rb3+
48.Kd4 b4 49.axb4 axb4 50.Kc4 Rxg3 51.Kxb4 Rg4+ 52.Ka5 Rxh4 53.Ba6 Bd7
54.Bb5 Be6 55.d7 Bxd7 56.Bxd7 Rg4 57.Kb5 h4 58.Bc6 h3 59.Bf2 Rf4 60.Bg3 Rd4
61.Kc5 Rg4 62.Bf2 h2 63.Bd5 Rf4) +3.92/31 10} 41. Bf4 {(41.Bf4 Rxb2 42.Kc3
Rb1 43.Bc6 Bd1 44.d5 Bf3 45.Kd4 Ra1 46.Kc5 Rxa3 47.Kb6 Rd3 48.d6 Bxc6
49.Kxc6 Kf8 50.Kd7 b4 51.Bh6+ Kg8 52.Ke7 b3 53.Bc1 Rxg3 54.d7 Rd3 55.Ba3
Rxd7+ 56.Kxd7 f4 57.e6 fxe6) -1.26/13 30} Rxb2 {(41. ... Rxb2 42.Kc3 Rb1
43.Bc6 Bd1 44.d5 Bf3 45.Kd4 Rd1+ 46.Kc5 Rd3 47.Bb7 Rxa3 48.Kb6 Rd3 49.Bxa6
Bxd5 50.Bxb5 Rb3 51.Kc5 Be6 52.Be2 Rb8 53.Bb5 Rd8 54.Kb4 Rc8 55.Bg5 Rb8
56.Kc5 Ra8 57.Bf4 Kg8 58.Kd4 Ra5 59.Bd3 Rd5+ 60.Ke3 Kg7 61.Kd2 Ra5 62.Kc3
Ra4 63.Bb5 Ra3+ 64.Kb4 Rb3+ 65.Kc5 Kf8 66.Be2 Ra3 67.Kb4 Ra2 68.Bd3 Kg7
69.Kc3) +4.28/36 8} 42. Kc3 {(42.Kc3 Rb1 43.Bc6 Bd1 44.d5 Bf3 45.Kd4 Ra1
46.Kc5 Rxa3 47.Kb6 Rd3 48.d6 Bxc6 49.Kxc6 Kf8 50.Kd7 b4 51.Bh6+ Kg8 52.Ke7
b3 53.Bc1 Rxg3 54.d7 Rd3 55.Ba3 Rxd7+ 56.Kxd7 f4 57.e6 fxe6 58.Kxe6)
-1.49/14 2} Rb1 {(42. ... Rb1 43.Bc6 a5 44.Bxb5 Bd5 45.a4 Ra1 46.Kd2 Kf8
47.Bg5 Ra2+ 48.Kc1 Ra3 49.Bh6+ Ke7 50.Bf4 Ra1+ 51.Kd2 Ra2+ 52.Kd3 Ra3+
53.Kc2 Ke6 54.Kb2 Rf3 55.Kc2 Be4+ 56.Kd2 Kd5 57.Ke2 Ra3 58.Be8 Ke6 59.Bb5
Bd5 60.Kd2 Bb3 61.Bc6 Ba2 62.Be8 Bc4) +4.27/35 7} 43. Bc6 {(43.Bc6 Bd1
44.d5 Bf3 45.Kd4 Ra1 46.Kc5 Rxa3 47.Kb6 Rd3 48.d6 Bxc6 49.Kxc6 Kf8 50.Kd7
b4 51.Bh6+ Kg8 52.Ke8 Rd5 53.d7 Rxe5+ 54.Kd8 Rd5 55.Ke7 b3 56.Bc1 g5
57.hxg5 f4 58.gxf4) -1.60/14 3} a5 {(43. ... a5 44.Bxb5 Bd5 45.a4 Ra1
46.Kd2 Kf8 47.Kc2 Ra2+ 48.Kc3 Ra3+ 49.Kb2 Rf3 50.Ba6 Rb3+ 51.Kc2 Ra3 52.Bb5
Ke7 53.Kb2 Ra2+ 54.Kc3 Ke6 55.Bc1 Rg2 56.Bf4 Rf2 57.Kd3 Rf3+ 58.Kd2 Ra3
59.Kc2 Be4+ 60.Kb2 Rf3 61.Bc4+ Bd5 62.Bb5 Rb3+ 63.Kc2 Ra3 64.Kd2 Bb3 65.Bc6
Ba2 66.Kc2 Bc4 67.Be8) +4.39/41 4} 44. d5 {(44.d5 b4+ 45.axb4 axb4+ 46.Kd3
Rd1+ 47.Bd2 Rg1 48.Bf4 Kf8 49.e6 fxe6 50.d6 e5 51.Bxe5 Rd1+ 52.Ke2 Bc2
53.d7 Ke7 54.Bf4 Rxd7 55.Bxd7 Kxd7 56.Kd2 b3 57.Kc3 Kc6 58.Kb2 Kd5 59.Kc3
Ke4) -1.23/15 19} b4+ {(44. ... b4+ 45.axb4 a4 46.b5 a3 47.Bc1 Bxd5 48.Bxa3
Bxc6 49.bxc6 Rb6 50.Bd6 Rxc6+ 51.Kd4 Rb6 52.Ke3 Rb3+ 53.Kf4 Rc3 54.Be7 Rd3
55.Bc5 Kg8 56.Be7 Rd4+ 57.Kf3 Rd5 58.Kf4 Kg7 59.Kf3 Rxe5 60.Bg5 Rb5 61.Kg2
Kf8 62.Bh6+ Ke7 63.Kh3 Rd5 64.Bg5+ Kd7 65.Bh6 Re5 66.Bf4 Rb5 67.Be3 Ke6
68.Bh6 Rb3 69.Bg5 Ke5 70.Bh6 Kf6 71.Bg5+ Ke6 72.Kg2 Rb5 73.Kh3) +7.06/40 8}
45. axb4 {(45.axb4 a4 46.e6 fxe6 47.d6 a3 48.Be5+ Kf7 49.b5 a2 50.Kb4 Bd5+
51.Ka5 Re1 52.Bb2 a1Q+ 53.Bxa1 Rxa1+ 54.Kb6 Rd1 55.Kc7 Be4 56.b6 Bxc6
57.Kxc6 Ke8 58.b7 Rc1+ 59.Kb6) -1.66/16 6} a4 {(45. ... a4 46.b5 a3 47.Bc1
Bxd5 48.Bxa3 Bxc6 49.bxc6 Rb6 50.Bd6 Rxc6+ 51.Kd4 Ra6 52.Ke3 Rb6 53.Bc5 Rb5
54.Bd6 Rd5 55.Bc7 Kf8 56.e6 fxe6 57.Kf2 Kf7 58.Bf4 e5 59.Bg5 Ke6 60.Bh6 Rb5
61.Kg2 Rb2+ 62.Kf3 Kf6 63.Bg5+ Kg7 64.Ke3 Rb3+ 65.Kf2 Rc3 66.Kg2 Rc2+
67.Kf3 Kf7 68.Bh6 Rc3+ 69.Kf2 Ke6 70.Kg2 Rd3 71.Bg7 Rb3 72.Bh8 Rb5)
+7.27/44 5} 46. e6 {(46.e6 fxe6 47.d6 a3 48.Be5+ Kf7 49.b5 a2 50.Kb4 Bc2+
51.Kc5 a1Q 52.Bxa1 Rxa1 53.Kb6 Rd1 54.Kc7 Ba4 55.b6 Bxc6 56.Kxc6 Ke8 57.b7
Rc1+ 58.Kb6 Rb1+ 59.Kc7 Rxb7+ 60.Kxb7) -2.70/14 15} fxe6 {(46. ... fxe6
47.dxe6 Kf6 48.e7 Kxe7 49.Bxa4 Bxa4 50.Kc4 Ke6 51.Be3 Rb2 52.Bf4 Rc2+
53.Kd3 Rc6 54.Bh6 Bb5+ 55.Ke3 Rc3+ 56.Kf2 Rc2+ 57.Ke3 Re2+ 58.Kd4 Rg2
59.Kc5 Bd7 60.Bf4 Rc2+ 61.Kb6 Kd5 62.Ka5 Rc3 63.Kb6 Rb3 64.Ka5 Kc6 65.Ka4
Rd3 66.Bg5 Rxg3 67.b5+ Kc5 68.Bd8 Bxb5+ 69.Ka5) +8.93/35 11} 47. d6 {(47.d6
a3 48.Be5+ Kf7 49.b5 a2 50.Kb4 Bc2+ 51.Kc5 a1Q 52.Bxa1 Rxa1 53.Kb6 Ba4
54.Kc7 Bxb5 55.Bxb5 Rd1 56.Ba4 Rd4 57.Bb5 e5 58.d7 Ke7 59.Kc8 e4) -3.01/15
2} a3 {(47. ... a3 48.Be5+ Kf7 49.b5 a2 50.Kb4 a1Q 51.Bxa1 Bd5+ 52.Kc5 Bxc6
53.Bd4 Bxb5 54.Be3 Bd7 55.Bf4 Rd1 56.Kb4 Rd5 57.Kc4 Bb5+ 58.Kb4 e5 59.Bg5
Bd7 60.Be7 Rd3 61.Kc4 Rxg3 62.Kc5 Be6 63.Bd8 Rc3+ 64.Kb5 Rd3 65.Kc6 Re3
66.Bc7 Rc3+ 67.Kb5) +9.76/31 8} 48. Be5+ {(48.Be5+ Kf7 49.b5 a2 50.Kb4 Bc2+
51.Kc5 a1Q 52.Bxa1 Rxa1 53.Kb6 Ba4 54.Kc7 Bxb5 55.Bxb5 Rd1 56.Ba4 Rd4
57.Bb3 Kf6 58.d7 Ke7 59.Ba4 e5 60.Bb5 e4 61.Kc8) -3.74/14 36} Kf7 {(48. ...
Kf7) +11.77/36} 49. b5 {(49.b5 a2 50.Kb4 Bc2+ 51.Kc5 a1Q 52.Bxa1 Rxa1
53.Kb6 Rd1 54.Kc7 Ba4 55.b6 Bxc6 56.Kxc6 Ke8 57.b7 Rc1+ 58.Kb6 Rb1+ 59.Kc7
Rxb7+ 60.Kxb7 Kd7 61.Ka6 e5 62.Kb5) -3.64/14 9} a2 {(49. ... a2 50.Kb4 a1Q
51.Bxa1 Bd5+ 52.Kc5 Rxa1 53.Bd7 Be4 54.Kb4 Rd1 55.Kc5 Rd2 56.b6 Rd1 57.Bb5
Rd5+ 58.Kb4 Rxd6 59.Kc5 Rd2 60.Kb4 Rb2+ 61.Ka5 Bd5 62.Ba4 Rg2 63.Ka6 Rxg3
64.b7 Bxb7+ 65.Kxb7 Rg4 66.Bd1 Rd4 67.Bf3 Rb4+ 68.Ka6 Rxh4 69.Kb6 Ke7
70.Kc5 Rh3 71.Bg2 Rg3) +13.92/33 10} 50. Kb4 {(50.Kb4 Bc2+ 51.Kc5 a1Q
52.Bxa1 Rxa1 53.Kb6 Rd1 54.Kc7 Ba4 55.b6 Bxc6 56.Kxc6 Ke8 57.b7 Rb1 58.Kc7
Rxb7+ 59.Kxb7 Kd7 60.Kb6 Kxd6 61.Ka6 e5 62.Kb5) -3.78/14 1} a1=Q {(50. ...
a1Q 51.Bxa1 Bd5+ 52.Kc5 Rxa1 53.Bd7 Be4 54.Kb4 Rd1 55.Kc5 Rd2 56.b6 Rd1
57.Bb5 Rd5+ 58.Kb4 Rxd6 59.Kc5 Rd2 60.Kb4 Bd5 61.Bf1 Rb2+ 62.Kc5 Rb3 63.Bb5
Rxg3 64.Be2 Ke7 65.Bf1 Rb3 66.Be2 Rc3+ 67.Kb4 Rh3 68.Kc5 Rxh4 69.Bb5 Rf4
70.Bd3 Rf2 71.Kd4 Rg2 72.Kc5 Rb2 73.Bf1 Rh2 74.Kb4 Rh1 75.Be2 Rh4+ 76.Kc3
Rh3+ 77.Kd2 Rb3) +14.83/34 6} 51. Bxa1 {(51.Bxa1 Bd5+ 52.Kc5 Rxa1 53.Kb6
Rd1 54.Kc7 Bxc6 55.bxc6 Ke8 56.d7+ Ke7 57.Kc8 e5 58.Kb8 Rxd7 59.c7 Rxc7
60.Kxc7 f4 61.g4 f3) -4.12/13 16} Bd5+ {(51. ... Bd5+) +19.25/36} 52. Kc5
{(52.Kc5 Rxa1 53.Kb6 Rd1 54.Kc7 Bxc6 55.bxc6 Ke8 56.d7+ Ke7 57.Kc8 e5 58.c7
Rxd7 59.Kb8 Rxc7 60.Kxc7 e4 61.Kc6 e3 62.Kd5 e2) -4.76/13 15} Rxa1 {(52.
... Rxa1) +29.13/36} 53. Kb6 {(53.Kb6 Rd1 54.Kc7 Bxc6 55.bxc6 Ke8 56.d7+
Ke7 57.Kc8 e5 58.c7 Rxd7 59.Kb8 Rxc7 60.Kxc7 e4 61.Kc6 e3 62.Kd5 e2)
-4.74/12} Bxc6 {(53. ... Bxc6 54.bxc6 Ke8 55.Kb7 Rb1+ 56.Kc8 Rd1 57.Kc7 Rd2
58.d7+ Ke7 59.Kc8 Rd3 60.Kc7 Rd6 61.d8R Rxd8 62.Kb7 Rd6 63.c7 Rd7 64.Kb6
Rxc7 65.Kb5 Rc4 66.Kxc4 g5 67.g4 fxg4 68.Kc3 gxh4 69.Kd3) +153.99/40 9} 54.
bxc6 {(54.bxc6 Ke8 55.Kc7 Rd1 56.d7+ Ke7 57.Kc8 e5 58.Kb8 Rxd7 59.cxd7 Kxd7
60.Kb7 e4 61.Kb6 e3 62.Kc5 e2) -5.69/12 6} Ke8 {(54. ... Ke8 55.Kb7 Rc1
56.Kc7 Rd1 57.d7+ Ke7 58.Kc8 Rd2 59.Kc7 Rd6 60.Kb6 Rxd7 61.cxd7 Kxd7 62.Kc5
Ke7 63.Kd4 Kf6 64.Ke3 g5 65.Ke2 gxh4 66.Kf2 hxg3+ 67.Kf1 h4 68.Kg2 h3+
69.Kh1 h2 70.Kg2 h1Q+ 71.Kxg3) +154.01/44 2} 55. Kc7 {(55.Kc7 Rd1 56.d7+
Ke7 57.Kc8 e5 58.Kc7 e4 59.Kb8 Rxd7 60.cxd7 Kxd7 61.Kb7 e3 62.Kb6 e2
63.Kc5) -6.73/11 13} Rd1 {(55. ... Rd1 56.Kb7 Rxd6 57.c7 Rd7 58.Kc6 Rxc7+
59.Kxc7 e5 60.Kd6 f4 61.g4 hxg4 62.Kxe5 f3 63.Kf4 f2 64.Kxg4 f1Q 65.Kg3 Kf7
66.h5 Qg1+ 67.Kf4 gxh5 68.Kf3 Ke6 69.Kf4 Qg4+ 70.Ke3 h4 71.Kf2 h3 72.Ke3 h2
73.Kf2 h1Q 74.Ke3 Qc1+ 75.Kf2 Qcg1+) +M21/40 11} 56. d7+ {(56.d7+ Ke7
57.Kc8 e5 58.Kc7 e4 59.Kb8 Rxd7 60.cxd7 Kxd7 61.Kb7 e3 62.Kb6 e2 63.Kc5)
-9.23/10 13 Arena Adjudication} 0-1[/pgn]

Code: Select all

LC0 24x320-1938
-0,01	36.Bg2 f6 37.Nd3 Rd7 38.Rc2 Ne7
-0,01	36.Bg1 f6 37.Nd3 Rd7 38.Ke1 a5
-0,02	36.Nd3 Ne7 37.d5 Bxd5 38.Bxd5 Nxd5
=0,00	36.Ke1 Rc1+ 37.Rd1 Rc7 38.Rd2 f6
-0,01	36.Rc2 Kf8 37.Be2 b5 38.Bf3 Ke7      <-- Lc0 play
=0,00	36.Ke2 Rc1 37.Rd1 Rc7 38.Rd2 Rc1


SF-dev, D=38
-0,07	36.Nd3 Kg8 37.Bg2 Kf8 38.Bf3 f6
-0,16	36.Ke1 f6 37.Ke2 Be7 38.Nd3 Kf7
-0,16	36.Be1 f6 37.Ke2 Bg8 38.Nd3 Ne7
-0,16	36.Ke2 f6 37.Nd3 Bf7 38.Ne5 Bg8
-0,16	36.Bg1 f6 37.Nd3 Kf8 38.Bf2 Ke8
-0,22	36.Bg2 b5 37.Nd3 b4 38.Nc5 bxa3
-0,24	36.Re2 Nf6 37.d5 Nxd5 38.Bxd5 Bxd5
-0,31	36.Bh1 b5 37.Nd3 b4 38.Nc5 bxa3
-0,52	36.a4 a5 37.Bg2 f6 38.Nd3 Nb4
-0,56	36.Be2 Nf6 37.Bf3 Bb3+ 38.Ke2 Re7
-0,64	36.Rd3 f6 37.Bg2 a5 38.Nf3 b5
-0,98	36.Bxd5 Bxd5 37.Ke1 f6 38.Nd3 a5
-2,64	36.Rc2 Bxe5 37.fxe5 Ne3+ 38.Bxe3 Bb3    <-- Lc0 play

SF-dev, D=38
-2,95	36. ... Bxe5 37.fxe5 Ne3+ 38.Bxe3 Bb3    <-- SF-dev play
-0,05	36. ... Nf6 37.Rxc7 Bxc7 38.Bb7 a5
 0,00	36. ... Kf8 37.Kd2 Ke7 38.Be1 Rxc2+
 0,00	36. ... Kf6 37.Kd2 Ke7 38.Be1 Rxc2+
 0,00	36. ... b5 37.Rxc7 Nxc7 38.Kc2 Bd5
 0,00	36. ... Ne7 37.Rxc7 Bxc7 38.Kd2 f6
 0,00	36. ... Re7 37.Rc6 Bc7 38.Nc4 Rd7
 0,00	36. ... a5 37.Rxc7 Bxc7 38.Kd2 Nf6
 0,00	36. ... f6 37.Nc4 Be7 38.Kd2 Nb4
+0,11	36. ... Bf8 37.Rxc7 Nxc7 38.d5 Nxd5

Lc0 after 36. Bxd5 (Clean hash, restart)
D=13	03:51	 647k	3k	+0,08	36. ... Kf8 37.Be2 b5 38.Bf3 Ke7
D=13	03:53	 654k	3k	-2,15	36. ... Bxe5 37.fxe5 Ne3+ 38.Bxe3 Bb3
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User avatar
yurikvelo
Posts: 710
Joined: Sat Dec 06, 2014 1:53 pm

Re: Leela (lack of) endgame technique?

Post by yurikvelo »

lighter networks see tactics much faster

Code: Select all

256x20-t40-1541
D=13	02:42	 890k	5k	+0,05	36. ... Kf8 37.Kd2 Ke7 38.Be1 Kd8
D=13	02:43	 898k	5k	-2,38	36. ... Bxe5 37.fxe5 Ne3+ 38.Bxe3 Bb3

128x10-591226
D=12	00:17	 367k	21k	+0,05	36. ... Ne7 37.Rxc7 Bxc7 38.Bb7 f6
D=12	00:17	 374k	21k	-1,35	36. ... Bxe5 37.fxe5 Ne3+ 38.Bxe3 Bb3
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