Beautiful game, highlights strengths of NN+MCTS

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MikeGL
Posts: 900
Joined: Thu Sep 01, 2011 12:49 pm

Beautiful game, highlights strengths of NN+MCTS

Post by MikeGL » Sat Sep 15, 2018 12:20 pm

Ok, first we need to acknowledge the strength of Houdini and those beautiful gems it had created in some games.
But in this rare chance against Lc0 it showed its blind spot typical of modern engine play where it doesn't recognize fixed pawns and closed files,
whereas Lc0 positioned both of its rooks at K-side 15 moves ahead before its deadly break (g5!) was done.
While Houdini 6 still keeps on moving its Q-side rook back-and-forth in an obviously locked down files from a-file to d-file.

Lc0 it seems to me, just plays with accuracy of an engine and with the intuition of a GM.
Notice how H6 moved its q-side rook more than 4 times in an obviously closed file, while Lc0 understood far ahead that the k-side would burst.




[Event "Lc0 v0.17.0 11261 + 11 Top Engines 10+6"]
[Site "DESKTOP-0UC6IC7"]
[Date "2018.09.13"]
[Round "4"]
[White "Lc0 v0.17.0 11261"]
[Black "Houdini 6.03"]
[Result "1-0"]
[BlackElo "3000"]
[Time "14:00:54"]
[Variation "Vorstoßvariante, Anglo-Polische Angriff"]
[WhiteElo "3000"]
[TimeControl "600+6"]
[Termination "time forfeit"]
[PlyCount "87"]
[WhiteType "human"]
[BlackType "human"]

1. Nf3 d5 2. c4 d4 3. b4 c5 4. Bb2 Nf6 5. g3 {(5.g3 cxb4 6.Lxd4 Lg4 7.Le3
Sc6 8.d4 e6 9.Lg2 Le7 10.Sbd2 O-O 11.O-O a5 12.h3 Lf5 13.Sh4 Sxd4 14.Lxd4)
+0.05/10 24} a5 {(5. ... a5) +0.06/24 36} 6. Qa4+ {(6.Da4+ Ld7 7.b5 Lf5
8.d3 Sbd7 9.Lg2 Dc7 10.O-O e5 11.Dc2 Ld6 12.Sbd2 O-O 13.Sh4) +0.22/10 25}
Bd7 {(6. ... Ld7 7.b5 Dc7 8.d3 e5 9.Sbd2 Lf5 10.Lg2 Sbd7 11.O-O Le7 12.h3
h6 13.Tae1 O-O 14.Sh4 Le6 15.e3 Tfe8 16.Dd1 g5 17.Shf3 a4 18.a3 Lf5 19.Db1
Ld6 20.Sh2 Le6) +0.06/26} 7. b5 {(7.b5 Lf5 8.d3 Dc7 9.Lg2 Sbd7 10.O-O e5
11.Dc2 Ld6 12.Sbd2 O-O 13.Sh4 Lg4 14.Tae1) +0.20/10 12} Qc7 {(7. ... Dc7)
+0.10/26 3} 8. Bg2 {(8.Lg2 e5 9.O-O Ld6 10.Dc2 Lg4 11.d3 Sbd7 12.e3 O-O
13.Sbd2 h6 14.Tae1 a4 15.Sh4 Tfe8) +0.18/9 32} e5 {(8. ... e5) -0.01/27 5}
9. O-O {(9.O-O Ld6 10.d3 O-O 11.Sbd2 Lg4 12.Dc2 Sbd7 13.Tae1 h6 14.e3 a4
15.Sh4 Tfe8 16.Lc1 Sf8) +0.12/9 38} h6 {(9. ... h6 10.d3 Ld6 11.Sbd2 O-O
12.Tae1 Le6 13.e3 Sbd7 14.h3 Lf5 15.Dc2 g5 16.a4 Tfe8 17.Te2 Tad8 18.Tfe1
Sf8 19.Sf1 b6 20.g4 Lg6 21.S3d2 dxe3 22.Txe3 Se6) +0.07/27 28} 10. d3
{(10.d3 Ld6 11.Sbd2 Le6 12.Dc2 Sbd7 13.Tae1 O-O 14.e3 a4 15.Sh4 Tfe8 16.Lc1
a3 17.e4) +0.08/8 32} Be7 {(10. ... Le7) +0.01/27 14} 11. Nbd2 {(11.Sbd2
O-O 12.Tae1 Le6 13.Dc2 Sbd7 14.e3 Tfe8 15.Sh4 Tad8 16.e4 g6 17.Lc1 Sh5
18.Sdf3) +0.16/8 30} O-O {+0.01/26 (11. ... O-O)} 12. Rae1 {(12.Tae1 Le6
13.e3 Sbd7 14.Dc2 Tfe8 15.Sh4 Tad8 16.e4 g6 17.Lc1 Sh5 18.Sdf3 Kh7 19.Dd2)
+0.09/8 36} Be6 {(12. ... Le6 13.e3 Sbd7 14.h3 Tfe8 15.Dc2 a4 16.Te2 Ld6
17.Lc1 Lf5 18.Sh4 Lh7 19.e4 Sf8 20.Sf5 Dd8 21.Sxd6 Dxd6 22.Tee1 Sg6 23.a3
b6 24.Sf3 Dc7 25.Ld2 De7 26.Db2 Sf8) +0.02/26} 13. Qd1 {(13.Dd1 Sbd7 14.e3
Tfe8 15.Lc1 Tad8 16.e4 g5 17.h4 g4 18.Sh2 Kh8 19.f4 gxf3 20.Sdxf3 Tg8)
+0.05/8 32} Nbd7 {(13. ... Sbd7) +0.12/23 25} 14. e3 {(14.e3 Tae8 15.Lc1 b6
16.e4 g5 17.h3 Kh7 18.Sh2 Tg8 19.Sdf3 Tg7 20.Kh1 Th8) +0.02/8 9} Rfe8 {(14.
... Tfe8 15.Dc2 Tad8 16.Te2 Lf8 17.h3 Ld6 18.La3 b6 19.Tfe1 Lf5 20.Sh4 Lh7
21.e4 Sf8 22.Sf5 Dd7 23.Sxd6 Dxd6 24.Sf3 Se6 25.Td2 Tf8 26.Lb2 Dc7)
+0.19/23 29} 15. Bc1 {(15.Lc1 Tad8 16.h3 Ld6 17.e4 Sf8 18.Sh4 Sg6 19.Sf5
Dd7 20.Sxd6 Dxd6 21.Sf3 b6) +0.06/7 36} Rad8 {(15. ... Tad8) +0.24/23 23}
16. h3 {(16.h3 b6 17.a4 Ld6 18.e4 Sf8 19.Sh4 Sg6 20.Sf5 Dd7 21.Df3 Lc7
22.Sxh6+) +0.09/8 7} b6 {(16. ... b6) +0.13/23 32} 17. a4 {(17.a4 Kh8
18.Sh2 Sf8 19.e4 g5 20.Sg4 Sxg4 21.hxg4 Dc8 22.f3 Kg7 23.Kf2) +0.10/8 32}
Nh7 {(17. ... Sh7) +0.23/25} 18. e4 {(18.e4 Kh8 19.Sh2 g5 20.Sg4 Kg7 21.Kh1
Th8 22.f4 exf4 23.gxf4 gxf4 24.e5 h5 25.Sh2 Sxe5 26.Se4 Sg6) +0.16/8 20}
Ndf8 {(18. ... Sdf8) +0.51/22 14} 19. Nh2 {(19.Sh2 g5 20.Dh5 Sf6 21.Dxh6
S8h7 22.Sg4 Sxg4 23.hxg4 Lxg4 24.f3 Td6 25.Dh2 Lc8 26.Kf2 Lf8 27.Th1 Th6
28.Dg1 Dd6 29.Ke2 Txh1 30.Dxh1) +0.22/8 35} Ng6 {(19. ... Sg6) +0.31/26 48}
20. h4 {(20.h4 Kh8 21.h5 Sgf8 22.Sdf3 Sd7 23.Kh1 Tg8 24.Sg1 Sdf6 25.Lh3 Dc8
26.Lxe6) +0.44/8 15} Ngf8 {(20. ... Sgf8) +0.26/27 25} 21. Ndf3 {(21.Sdf3
Sf6 22.Kh1 Ld6 23.Sg1 Dc8 24.f4 exf4 25.gxf4 Sg4 26.Sxg4 Lxg4 27.Lf3 f5
28.e5 Le7 29.h5 Lh4) +0.50/7 23} Bd7 {(21. ... Ld7 22.Sd2 Ld6 23.Sb3 Sf6
24.Ld2 Lc8 25.De2 Kh8 26.h5 S6h7 27.Sg4 De7 28.Dd1 Dd7 29.Sh2 Le7 30.Lf3
Dc7 31.Lg4 Se6 32.f4 exf4 33.gxf4 Lh4 34.Te2 Sf6 35.Tg2 Sxg4 36.Sxg4 De7)
+0.28/25 36} 22. Kh1 {(22.Kh1 Ld6 23.h5 Le7 24.Sg1 Ld6 25.Lh3 Dc8 26.Lxd7
Dxd7 27.Sgf3 f5 28.Sd2 Sf6) +0.67/8 16} Kh8 {(22. ... Kh8 23.Sd2 Le6 24.Sb3
Lc8 25.Kg1 Kg8 26.Sg4 Ld6 27.Sh2 Sf6 28.Df3 De7 29.Dd1 S6h7 30.Ld2 Kh8
31.Dh5 Sf6 32.Dd1 Dc7 33.Lc1 S6h7 34.Dh5 Lb7 35.Dd1 Sf6) +0.27/25 27} 23.
h5 {(23.h5 Lc8 24.Sg1 Se6 25.Sh3 Tg8 26.f4 exf4 27.gxf4 Lh4 28.Te2 Lg3
29.Tf3 Lxh2 30.Kxh2) +0.71/8 26} Qb8 {(23. ... Db8) 0.00/25 49} 24. Ng1
{(24.Sg1 Ld6 25.Lh3 Db7 26.Lxd7 Dxd7 27.f4 f5 28.fxe5 Lxe5 29.Txf5 Lxg3
30.Tef1 De7 31.Dg4 Lxh2 32.Kxh2 Sd7 33.Lf4) +0.89/8 17} Bd6 {(24. ... Ld6
25.Lh3 Se6 26.Sgf3 Le7 27.Lg2 Sef8) -0.23/27 34} 25. Bh3 {(25.Lh3 Dc8
26.Lxd7 Sxd7 27.Kg2 f5 28.exf5 Shf6 29.f3 Sxh5 30.Sh3 Sdf6 31.g4 Sf4+
32.Lxf4 exf4 33.Txe8+ Txe8 34.Te1 Te3 35.Sf1 h5 36.Sxe3 dxe3 37.Sg5)
+0.91/12 1} Ne6 {(25. ... Se6 26.Sgf3 Le7 27.Lg2 Sef8) -0.23/28 39} 26.
Ngf3 {(26.Sgf3 Tg8 27.Tg1 Tde8 28.Lf5 Dd8 29.Sg4 Seg5 30.Lxg5 Sxg5 31.Sh4
Se6) +1.24/7 20} Be7 {(26. ... Le7 27.Lg2 Sef8) -0.23/28 52} 27. Bf5
{(27.Lf5 Sf6 28.Tg1 Dc7 29.Sh4 Sh7 30.Sg2 Lg5 31.f4 exf4 32.gxf4 Sxf4)
+1.51/8 15} Nf6 {(27. ... Sf6 28.Ld2 Dc7 29.Dc1 Lf8 30.Sh4 Lc8 31.Dd1 Le7
32.Sg4 Tg8 33.Sxf6 Lxf6 34.Dg4 De7 35.Dg6 Sf8 36.Dg4 Se6) -0.23/28 26} 28.
Kg2 {(28.Kg2 Dd6 29.Th1 Kg8 30.Sh4 Sh7 31.Sg4 Lxh4 32.Txh4 Sef8 33.Lxd7
Sxd7 34.f4 f6 35.Sh2) +1.52/8 11} Qc7 {(28. ... Dc7 29.Ld2 Lc8 30.Sh4 Sg8
31.S4f3 Sf6) -0.23/28 20} 29. Rh1 {(29.Th1 Dd6 30.Ld2 Kg8 31.Sh4 Sh7 32.Sg4
Lxh4 33.Txh4 Sef8 34.f4 Lxf5 35.exf5 exf4 36.Lxf4) +1.61/7 14} Ra8 {(29.
... Ta8 30.Ld2 Lf8 31.Dc1 Tad8 32.Sh4 Kg8 33.Dd1 Le7 34.Sg4 Sxg4 35.Dxg4
Kh8 36.Thf1 Lf6 37.f4 Te7 38.fxe5 Lxe5 39.Sf3 Tde8 40.Sxe5 Dxe5 41.Kg1 Tf8
42.Dh4 Tee8) -0.30/26 35} 30. Reg1 {(30.Teg1 Ld8 31.Kf1 Sh7 32.Sg4 Sef8
33.Lxd7 Sxd7 34.Sh4 Lxh4 35.Txh4 Tf8 36.f4 f5 37.exf5 Txf5) +1.59/7 33} Qd6
{(30. ... Dd6 31.Ld2 Lc8 32.Te1 Ta7 33.Sh4 Dc7 34.Sg4 Db8 35.Sxf6 Lxf6
36.Dg4 Tb7 37.f4 Tbe7 38.Sf3 Ld7 39.Thf1 Lc8 40.Kg1 Tf8 41.Kh1 Tee8 42.Kg2
Ld7 43.Sh4 exf4) -0.30/27 48} 31. Kf1 {(31.Kf1 Tad8 32.De2 Sf8 33.Sh4 S6h7
34.Lxd7 Dxd7 35.Sf5 Lg5 36.f4 Lf6 37.Sg4 De6 38.Df3 Sd7) +1.61/7 29} Rad8
{(31. ... Tad8 32.Ld2) -0.37/29 69} 32. Bd2 {(32.Ld2 Kg8 33.Dc1 Sf8 34.Sh4
S8h7 35.Lxd7 Dxd7 36.Sf5 Db7 37.f3 Lf8 38.g4 g5 39.hxg6) +1.78/8 14} Rb8
{(32. ... Tb8 33.Dc1) -0.54/25 23} 33. Qc1 {(33.Dc1 Kg8 34.Sh4 Sh7 35.Lxh7+
Kxh7 36.Sf5 Dc7 37.Lxh6 gxh6 38.Dxh6+ Kg8 39.Sxe7+ Txe7 40.Sg4 f5 41.Sf6+
Kf7 42.Dg6+ Kf8 43.Dg8+) +2.51/8 14} Bf8 {(33. ... Lf8 34.g4 Tbd8 35.g5
Sxg5 36.Sxg5 hxg5 37.Lxd7 Sxd7 38.Lxg5 Le7 39.Sf3 Lxg5 40.Dxg5 Df6 41.Dxf6
Sxf6 42.Ke2 Sg8 43.h6 g6 44.Kd2 Sf6 45.Tg5 Sd7) -0.99/22 12} 34. Nh4
{(34.Sh4 Lc8 35.f4 exf4 36.gxf4 Sxh5 37.e5 Dc7 38.Sg4 Lb7 39.Th2 g6 40.Lxg6
fxg6) +2.95/7 15} Bc8 {(34. ... Lc8) -1.07/22 18} 35. f4 {(35.f4 exf4
36.gxf4 Dc7 37.S2f3 Lb7 38.e5 Sg8 39.Th3 Le7 40.De1 Lxh4 41.Sxh4 Se7 42.Lg4
Sf8) +3.37/9 13} Bb7 {(35. ... Lb7 36.S2f3) -1.25/23 3} 36. N2f3 {(36.S2f3
exf4 37.e5 Dc7 38.exf6 fxg3 39.Le4 Lxe4 40.dxe4 gxf6 41.Lxh6 Ld6 42.Sf5 Tg8
43.Th4 Kh7 44.Ld2 Tbe8 45.Kg2) +3.69/9 13} Nd7 {(36. ... Sd7) -0.99/24 4}
37. Rh2 {(37.Th2 exf4 38.gxf4 Le7 39.e5 Dc7 40.De1 Tg8 41.Dg3 Sdf8 42.Lg4
Te8 43.Sg6+ fxg6) +4.32/9 11} Rbc8 {(37. ... Tbc8) -0.88/20 9} 38. Bxe6
{(38.Lxe6 Txe6 39.f5 Tee8 40.g4 f6 41.g5 fxg5 42.Lxg5 hxg5 43.Sg6+ Kg8
44.Sxg5 Sf6 45.h6 gxh6 46.Sxf8 Kxf8 47.Txh6 Ke7) +6.35/10 13} Rxe6 {(38.
... Txe6 39.g4) -2.74/22 17} 39. f5 {(39.f5 Tee8 40.g4 f6 41.g5 fxg5
42.Sxg5 hxg5 43.Lxg5 Sf6 44.h6 Sxe4 45.Sg6+ Kg8 46.h7+ Kf7 47.h8D Dd7
48.dxe4 Lxe4 49.Tf2 Ld3+) +6.71/11 6 1-0 Schwarz überschreitet die Zeit}
Ree8 {(39. ... Tee8 40.g4 Sf6 41.De1 Sg8 42.g5 Tc7 43.f6 Lc8 44.fxg7+ Lxg7
45.Dg3 Tb7 46.Ke2 Ta7 47.Thg2 Df8 48.Kd1 hxg5 49.Lxg5 Tb7 50.Ld2 Lf6 51.Kc2
Sh6 52.Df2 Kh7 53.Kb2 Le6 54.Sg5+ Lxg5) -2.91/21 10} 40. g4 {(41.g4 f6
42.g5 fxg5 43.Sxg5 hxg5 44.Lxg5 Sf6 45.h6 Tc7 46.Lxf6 gxf6 47.Dd1 Th7
48.Sg6+ Kg8 49.Dh5 Lg7) +6.97/11 5} Nf6 {(40. ... Sf6 41.De1) -3.41/22 7}
41. Qe1 {(42.De1 Ld5 43.cxd5 c4 44.g5 Sxd5 45.exd5 e4 46.dxe4 c3 47.gxh6
cxd2 48.hxg7+ Lxg7 49.Dxd2 Txe4 50.h6) +8.91/8 11} Ng8 {(41. ... Sg8 42.g5)
-3.65/22 2} 42. g5 {(43.g5 hxg5 44.Lxg5 Sh6 45.Dg3 Tc7 46.Thg2 Lc8 47.Lxh6
Dxh6 48.Sxe5 Ld6 49.Dxg7+) +10.03/7 14} Rcd8 {(42. ... Tcd8 43.Dg3)
-5.33/22} 43. Qg3 {(44.Dg3 Lc8 45.Thg2 Td7 46.f6 hxg5 47.fxg7+ Lxg7 48.Lxg5
Tc7) +12.99/6 16 1-0 Schwarz überschreitet die Zeit} Bc8 {(43. ... Lc8
44.Sxe5) -6.74/24} 44. Ke1 {(45.Ke1 Td7 46.gxh6 Sxh6 47.Thg2 Kg8 48.Sh2 Kh7
49.Lxh6 Dxh6 50.Sg4) +12.91/6 26 Schwarz überschreitet die Zeit} 1-0

Thanks to Andrew Grant for that beautiful game.
Last edited by MikeGL on Sat Sep 15, 2018 12:28 pm, edited 1 time in total.
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.

Dariusz
Posts: 109
Joined: Sat Jun 13, 2015 8:08 am
Location: Poland

Re: Beautiful game, highlights strengths of NN+MCTS

Post by Dariusz » Sat Sep 15, 2018 12:53 pm

Indeed, beauty game :)
Regards, Dariusz

MikeGL
Posts: 900
Joined: Thu Sep 01, 2011 12:49 pm

Re: Beautiful game, highlights strengths of NN+MCTS

Post by MikeGL » Sat Sep 15, 2018 2:25 pm

Another beautiful game.
Here, a strong SF derivative Andscacs outplayed in endgame because of an immobilised Kf1.
NN+MCTS giving up material in exchange for its K mobility.
Looks like SF Dev version is having a difficulty finding the excellent continuation 33...Rd8 on the below diagram.


[Event "Lc0 v0.17.0 11261 + 11 Top Engines 10+6"]
[Site "DESKTOP-0UC6IC7"]
[Date "2018.09.10"]
[Round "3"]
[White "Andscacs 0.94"]
[Black "Lc0 v0.17.0 11261"]
[Result "0-1"]
[BlackElo "3000"]
[Time "16:53:29"]
[Variation "1...c5 2.g3 Nc6 3.Bg2"]
[WhiteElo "3000"]
[TimeControl "600+6"]
[Termination "normal"]
[PlyCount "230"]
[WhiteType "human"]
[BlackType "human"]

1. Nf3 c5 2. g3 Nc6 3. Bg2 g6 4. c3 Bg7 5. d4 {(5.d4 cxd4 6.cxd4 d5 7.O-O
Sf6 8.Sc3 Lf5 9.Se5 O-O 10.Lf4 Tc8 11.e3 Db6 12.Sxc6 bxc6 13.b3 Da6 14.Te1
Dd3 15.Dxd3 Lxd3 16.Tac1 Sh5 17.Se2 Lf5 18.h4 e6 19.a3 Sxf4 20.Sxf4)
+0.32/26 20} cxd4 {(5. ... cxd4 6.cxd4 d5 7.Sc3 Sf6 8.O-O Se4 9.Lf4 O-O
10.Se5 Sxc3 11.bxc3 Sa5 12.e4 Le6 13.Te1 Tc8 14.Tc1 dxe4 15.Lxe4 Lxa2)
-0.16/10 21} 6. cxd4 {(6.cxd4 d5 7.O-O Sf6 8.Sc3 O-O 9.Lf4 Lf5 10.Se5 Tc8
11.e3 Sxe5 12.dxe5 Se4 13.Dxd5 Sxc3 14.bxc3 b6 15.Dd4 Dc7 16.Da4 Lxe5
17.Lxe5 Dxe5 18.Dxa7 Dc7 19.Db7 Tfd8 20.Tad1 Txd1 21.Txd1 Dxb7 22.Lxb7
Txc3) +0.26/27 6} d5 {(6. ... d5 7.Sc3 Sf6 8.O-O O-O 9.Se5 Lf5 10.Lf4 Tc8
11.Tc1 h6 12.Sxc6 Txc6 13.Le5 Se4 14.Lxg7) -0.15/10 17} 7. Nc3 {(7.Sc3 Sf6
8.O-O O-O 9.Lf4 Se4 10.Tc1 f6 11.Db3 e6 12.h4 g5 13.hxg5 fxg5 14.Le3 g4
15.Sh2 Sd6 16.Sxg4 Sxd4 17.Lxd4 Lxd4 18.Sxd5 exd5 19.Dxd5+ Sf7 20.Sh6+ Kg7
21.Sxf7 Dxd5) +0.29/26 8} Nf6 {(7. ... Sf6 8.O-O O-O 9.Se5 Lf5 10.Le3 Db6
11.Dd2 Tfd8 12.Tac1 Se4 13.Sxe4 dxe4 14.Sxc6 bxc6 15.Tfd1 Da6) -0.17/11 5}
8. O-O {(8.O-O O-O 9.Se5 Lf5 10.Le3 Se4 11.Sxe4 Lxe4 12.Sxc6 bxc6 13.Lxe4
dxe4 14.Tc1 Da5 15.Dc2 Dxa2 16.Dxe4 Tab8 17.Dxc6 Dxb2 18.Tc2 Db4 19.Tc4 Db2
20.Te1 Tfd8 21.Dc5 e6 22.Dxa7 Tb7) +0.27/24 18} O-O {(8. ... O-O 9.Se5 Le6
10.Sxc6 bxc6 11.Lf4 Tc8 12.Tc1 c5 13.dxc5 Txc5 14.Le3 Tc4 15.b3 Tc7 16.Ld4
Dd7 17.Dd2) -0.18/10 20} 9. Bf4 {(9.Lf4 Se4 10.Tc1 f6 11.Db3 e6 12.h4 g5
13.hxg5 fxg5 14.Le3 g4 15.Sh2 Sd6 16.Sxg4 Sxd4 17.Lxd4 Lxd4 18.Sxd5 exd5
19.Dxd5+ Sf7 20.Sh6+ Kg7 21.Sxf7 Dxd5 22.Lxd5) +0.29/25 27} Qb6 {(9. ...
Db6 10.Sa4 Db5 11.Se5 Lf5 12.Sxc6 Dxc6 13.Tc1 Db5 14.Tc5 Da6 15.Tc7 Tfc8
16.Sc5 Dxa2 17.Txb7 Se4 18.Sxe4 dxe4 19.Txe7 Dxb2 20.Lxe4 Lxe4) -0.14/9 28}
10. Na4 {(10.Sa4 Db5 11.Se5 Lf5 12.Sxc6 bxc6 13.Tc1 Sd7 14.b3 Tad8 15.Dd2
Tfe8 16.Lg5 f6 17.Le3 e5 18.dxe5 Txe5 19.Lf3 Lh3 20.Tfe1 Da6 21.Ld4 Tee8
22.Lg2 Lxg2 23.Kxg2 Tb8) +0.33/24 15} Qa6 {(10. ... Da6 11.Se5 Lf5 12.Sxc6
Dxc6 13.Tc1 Db5 14.Tc5 Da6 15.Tc7 e6 16.Sc5 Dxa2 17.Txb7 Se4 18.Sxe4 Lxe4
19.Lxe4 dxe4 20.e3 Dd5 21.Db3 Dxb3) -0.23/10 48} 11. e3 {(11.e3 Se4 12.Sg5
Sf6 13.Db3 Sa5 14.Da3 Sc6 15.Tfc1 Lf5 16.Sf3 Tac8 17.Sh4 Lg4 18.f3 Le6
19.Lf1 Da5 20.Sc5 Dxa3 21.bxa3 Sh5 22.Sxe6 fxe6 23.Lg5 h6 24.Lf4 Sxf4
25.gxf4) +0.32/25 45} Ne4 {(11. ... Se4 12.Sg5 Sf6 13.Sf3 Se4 14.Sg5 Sf6
15.h3 h6 16.Sf3 Se4 17.g4 Ld7 18.Sc3 Sxc3 19.bxc3 Tac8 20.Db3 e6 21.Tfc1
Sa5 22.Db4 Sc4 23.a4) -0.15/9 23} 12. Ng5 {(12.Sg5 Sf6 13.Sc5 Db5 14.a4 Db6
15.Tc1 h6 16.Sf3 Lf5 17.De2 g5 18.Le5 Tac8 19.Lxf6 Lxf6 20.h3 h5 21.Sxg5
Sxd4 22.exd4 Lxg5 23.Lxd5 Lxc1 24.Txc1) +0.27/26 20} Nf6 {(12. ... Sf6
13.Sf3 Se4 14.Sg5 Sf6 15.Sc3 h6 16.Sf3 Db6 17.De2 Le6 18.Le5 Sxe5 19.Sxe5
Tac8 20.a4 a5 21.Db5) -0.12/11 6} 13. Qb3 {(13.Db3 Sa5 14.Da3 Sc6 15.Tfc1
Lf5 16.Db3 Sa5 17.Dd1 h6 18.Sf3 Tac8 19.Lf1 b5 20.De2 g5 21.Le5 Se4 22.Lxg7
Kxg7 23.Sc5 Db6 24.Sxe4 Lxe4 25.Sd2 Sc4 26.Sxe4 dxe4) +0.19/24 7} h6 {(13.
... h6 14.Sf3 g5 15.Le5 g4 16.Sh4 Sxe5 17.dxe5 Sd7 18.e6 Dxe6 19.Lxd5 Df6
20.Tac1 Se5 21.Sc5 Db6 22.Da4 Td8 23.Le4 Dxb2 24.Tb1 De2 25.Sxb7) +0.02/12
33} 14. Nf3 {(14.Sf3 Sa5 15.Da3 Sc4 16.Db4 De6 17.b3 Sd6 18.Sc5 Df5 19.Sh4
Dh5 20.h3 De2 21.Tfe1 Db5 22.Dxb5 Sxb5 23.Le5 Sc3 24.a3 b6 25.Tac1 bxc5
26.Txc3 Se4 27.Lxe4 dxe4 28.Lxg7 Kxg7 29.Txc5 Lxh3) +0.19/26 25} g5 {(14.
... g5 15.Le5 g4 16.Sh4 Sxe5 17.dxe5 Sd7 18.Sf5 e6 19.Sxg7 Kxg7 20.Tfd1
Sxe5 21.e4 d4 22.Txd4 Da5 23.Tad1 b6 24.De3 La6 25.Sc3 Dc5 26.Df4 Tac8
27.h3 gxh3 28.Lxh3 Lc4 29.Sd5 f6) -0.03/18 6} 15. Be5 {(15.Le5 g4 16.Sh4
Sxe5 17.dxe5 Sd7 18.Lxd5 Sxe5 19.Tac1 Tb8 20.Sc5 Da5 21.Tfd1 e6 22.Lg2 b5
23.Lf1 Lf6 24.Le2 Td8 25.f4 gxf3 26.Sxf3 Txd1+ 27.Txd1 b4 28.Sxe5 Lxe5
29.Sd7 Lxd7 30.Txd7 Dc5) +0.26/24 14} g4 {(15. ... g4 16.Sh4 Sxe5 17.dxe5
Sd7 18.Sf5 e6 19.Sxg7 Kxg7 20.Tfd1 Sxe5 21.e4 Td8 22.exd5 exd5 23.Sc3 d4
24.Sd5 Le6 25.Txd4 De2 26.Te4 Lxd5 27.Txe2 Lxb3 28.axb3 Sf3+ 29.Lxf3 gxf3
30.Te3 Td2 31.Txf3 Txb2 32.Ta4 a5 33.Taf4 Tf8) -0.05/17} 16. Nh4 {(16.Sh4
Sxe5 17.dxe5 Sd7 18.Lxd5 e6 19.Lg2 Tb8 20.Tac1 Sxe5 21.Sc5 Db6 22.Dxb6 axb6
23.Sa4 b5 24.Sb6 Sd7 25.Sxd7 Lxd7 26.Tfd1 Tfd8 27.b3 Lf6 28.Le4 Lc6
29.Txd8+ Txd8 30.Lxc6 bxc6) +0.36/24 14} Nxe5 {(16. ... Sxe5 17.dxe5 Sd7
18.Sf5 e6 19.Sxg7 Kxg7 20.Tfd1 Da5 21.Tac1 Sxe5 22.Sc5 b6 23.Sd3 Sg6 24.Sb4
Ld7 25.Tc7 Se5 26.Dc3 f6 27.e4 Tac8 28.exd5 exd5 29.Sxd5 Dxc3 30.Txc3 Txc3
31.Sxc3 Tc8 32.Le4 Le6 33.Td6) -0.04/19} 17. dxe5 {(17.dxe5 Sd7 18.Lxd5
Sxe5 19.Tac1 e6 20.Lg2 Tb8 21.Sc5 Db6 22.Dxb6 axb6 23.Sa4 b5 24.Sb6 Sd7
25.Sxc8 Tfxc8 26.Txc8+ Txc8 27.Lxb7 Tc2 28.b4 Sb6 29.La6 Tb2 30.Td1 Lf6
31.a3 Sc4 32.Lxb5) +0.34/26 36} Nd7 {(17. ... Sd7 18.Sf5 e6 19.Sxg7 Kxg7
20.Tfd1 Sxe5 21.e4 Td8 22.exd5 exd5 23.Sc3 Dc4 24.Dxc4 Sxc4 25.b3 Sb6
26.Sxd5 Sxd5 27.Txd5 Le6 28.Tb5 Tac8 29.Txb7 Td2 30.Txa7 Tcc2 31.Tf1 Tb2
32.Ta4) -0.05/16} 18. Bxd5 {(18.Lxd5 Sxe5 19.Tac1 Tb8 20.Sc5 Db6 21.Dxb6
axb6 22.Sa4 e6 23.Le4 b5 24.Sb6 Td8 25.Tfd1 Ld7 26.Sxd7 Sxd7 27.b3 Se5
28.Txd8+ Txd8 29.Tc5 b4 30.Lxb7 Td2 31.Tc8+ Lf8 32.f4 Sd3 33.Td8 Td1+
34.Kg2 Td2+ 35.Kf1 Kg7) +0.16/24 23} Nxe5 {(18. ... Sxe5 19.Tac1 e6 20.Lg2
Ld7 21.Sc5 Db6 22.Sxd7 Sxd7 23.Dxb6 axb6 24.Tc7 Se5 25.a3 Tfd8 26.Txb7 Tab8
27.Txb8 Txb8 28.Tc1) +0.39/11 46} 19. Rac1 {(19.Tac1 Tb8 20.Sc5 Db6 21.Da4
e6 22.Lb3 Td8 23.Tfd1 Txd1+ 24.Lxd1 Dxb2 25.De8+ Lf8 26.Sb3 Sd3 27.Tc2 Db1
28.Td2 Se5 29.Td8 Sd7 30.Txd7 Lxd7 31.Dxd7 Dxa2 32.Sd4 h5 33.Dc7 Te8 34.Dd7
Tb8) -0.01/27} e6 {(19. ... e6 20.Lg2 Sd3 21.Tc4 Se5 22.Tc2 Td8 23.Sc5 Db6
24.Da4 Ld7 25.Sxd7 Txd7 26.h3 h5 27.Df4 Dd8 28.hxg4 hxg4 29.Tc5 Sd3
30.Dxg4) +0.36/12 16} 20. Bg2 {(20.Lg2 Tb8 21.Tfd1 Da5 22.Sc5 b5 23.Tc2 Td8
24.Tcc1 Tf8) +0.01/28 36} Nd3 {(20. ... Sd3 21.Tc4 Se5 22.Tcc1 Ld7 23.Sc5
Db5 24.Sxd7 Dxb3 25.axb3 Sxd7 26.Tc7 Se5 27.h3 h5 28.f4 gxf3 29.Sxf3 Tac8
30.Txb7 Tb8 31.Txb8 Txb8 32.Sd4 Lh6 33.Kf2 Sd3+ 34.Ke2 Sc5 35.Tc1 Sxb3
36.Sxb3) +0.30/18 8} 21. Rc7 {(21.Tc7 Tb8 22.Sc3 Da5 23.Tc4 Se5 24.Ta4 Dc5
25.Se4 Dc7 26.Txa7 Td8 27.Sc3 h5 28.Se2 Dc5 29.Da3 Db6 30.Da5 Dxa5 31.Txa5
Td2 32.Sf4 Ld7 33.Sxh5 Sc4 34.Ta7 Lxb2 35.Txb7) +0.26/25 22} Qa5 {(21. ...
Da5 22.Tc4 Se5 23.Tc5 Da6 24.Tcc1 Ld7 25.Sc5 Db6 26.Sxd7 Dxb3 27.axb3 Sxd7
28.Tc7 Se5 29.Txb7 Tab8 30.Txa7 Txb3 31.Tb7 Txb7 32.Lxb7 Tb8 33.Le4 Txb2)
+0.39/13 24} 22. Rc4 {(22.Tc4 Se5 23.Tc5 Da6 24.Tc2 Td8 25.Tfc1 Tb8 26.Sc5
Db6 27.Dxb6 axb6 28.Sa4 Ld7 29.Sxb6 Lc6 30.b4 Sd3 31.Tb1 Lxg2 32.Sxg2 Td6
33.Sc4 Tc6 34.Sf4 Se5 35.Sa3 Sf3+ 36.Kg2 Le5 37.Txc6) +0.27/25 10} Ne5
{(22. ... Se5 23.Tc5 Da6 24.Tcc1 Ld7 25.Sc5 Db5 26.Sxd7 Dxb3 27.axb3 Sxd7
28.Tc7 Se5 29.h3 h5 30.f4 gxf3 31.Sxf3 Tad8 32.Txb7 Tb8 33.Txb8 Txb8 34.Sd4
Lh6 35.Kf2 Sd3+ 36.Ke2 Sc5 37.Lf3 Sxb3 38.Sc6) +0.27/19 10} 23. Rc5
{(23.Tc5 Da6 24.Tcc1) +0.27/26 1} Qa6 {(23. ... Da6 24.Tcc1 Ld7 25.Sc5 Db5
26.Sxd7 Dxb3 27.axb3 Sxd7 28.Tc7 Se5 29.h3 h5 30.f4 gxf3 31.Sxf3 Tad8
32.Txb7 Tb8 33.Txb8 Txb8 34.Sd4 Lh6 35.Kf2 Sd3+ 36.Ke2 Sc5 37.Lf3 Sxb3
38.Sc6) +0.28/20 1} 24. Rcc1 {(24.Tcc1) +0.01/26 12} Bd7 {(24. ... Ld7
25.Sc5 Db5 26.Sxd7 Dxb3 27.axb3 Sxd7 28.Tc7 Se5 29.h3 gxh3 30.Lxh3 Tab8
31.Ta1 Sc6 32.Lg2 Tfc8 33.Td7 a6 34.Lxc6 Txc6 35.Ta4 Tb6 36.Tf4 Tf8 37.b4
Lxb2 38.Sf3 Lc3 39.Tg4+) +0.30/21 1} 25. Nc5 {(25.Sc5 Db6 26.Sxd7 Sxd7
27.Lxb7 Dxb3 28.axb3 Tab8 29.Tc7 Tfd8 30.Td1 Sf6 31.Txd8+ Txd8 32.Lc6 Td1+
33.Kg2 Tb1 34.Txa7 Txb2 35.Tb7 Tc2 36.Lb5 Tb2 37.Ld3 Td2 38.Lb1 Tb2 39.Ld3)
+0.01/29 32} Qb5 {(25. ... Db5 26.Sxd7 Dxb3 27.axb3 Sxd7 28.Tc7 Se5 29.h3
gxh3 30.Lxh3 Tab8 31.f4 Sc6 32.Td1 Tfd8 33.Txd8+ Sxd8 34.Tc2 Sc6 35.f5 Te8
36.fxe6 fxe6 37.Sg6 Kf7 38.Sf4 Le5 39.Lg4 Kf6 40.Th2 Lxf4) +0.35/22} 26.
Nxd7 {(26.Sxd7 Dxb3 27.axb3 Sxd7 28.Tc7 Tfd8 29.Txb7 Tab8 30.Txa7 Se5 31.f4
gxf3 32.Lxf3 Txb3 33.Lh5 Txe3 34.Kh1 Tb8 35.Lxf7+ Sxf7 36.Tfxf7 Ld4 37.Tab7
Tb3 38.Txb8+ Txb8 39.Td7 Lf6 40.Sg6 e5 41.Se7+ Lxe7 42.Txe7 Txb2 43.Txe5
Kf7 44.h3) +0.27/24 15} Qxb3 {(26. ... Dxb3 27.axb3 Sxd7 28.Tc7 Se5 29.h3
gxh3 30.Lxh3 Tab8 31.f4 Sc6 32.Td1 Tfd8 33.Txd8+ Sxd8 34.Tc2 a5 35.Lg2 Sc6
36.Tc5 Lxb2 37.Tb5 Sd8 38.Txa5 Tc8 39.Tb5 Tc3 40.Kf2 Lc1) +0.32/20} 27.
axb3 {(27.axb3 Sxd7 28.Tc7 Tfd8 29.Txb7 Tab8 30.Txa7 Se5 31.f4 gxf3 32.Lxf3
Txb3 33.Lh5 Txe3 34.Kh1 Tf8 35.Tb7 Td3 36.b4 Td7 37.Txd7 Sxd7 38.b5 Sf6
39.Le2 Tb8 40.Tb1 Se4 41.Sg2 Sd2 42.Td1) +0.29/26 8} Nxd7 {(27. ... Sxd7
28.Tc7 Se5 29.h3 gxh3 30.Lxh3 Tab8 31.f4 Sc6 32.Td1 Tfd8 33.Txd8+ Sxd8
34.Tc2 a5 35.Kf2 Sc6 36.f5 Sb4 37.Td2 e5 38.Lg2 Lf6 39.Le4 Sa6 40.Td5 b6
41.Td6 Sc5) +0.30/16} 28. Rc7 {(28.Tc7 Tfd8 29.f4 Tac8 30.Txb7 Lxb2 31.f5
Lc1 32.fxe6 fxe6 33.Sg6 Lxe3+ 34.Kh1 Tc3 35.Se7+ Kh8 36.Sg6+ Kg8) +0.01/25
10} Ne5 {(28. ... Se5 29.h3 gxh3 30.Lxh3 Tab8 31.f4 Sc6 32.Td1 Tfd8
33.Txd8+ Sxd8 34.Tc2 a5 35.Kf2 Sc6 36.f5 Sb4 37.Td2 e5 38.Lg2 Lf6 39.Le4
Sa6 40.Td5 b6 41.Td6 Sc5 42.Ld5) +0.29/18} 29. Ra1 {(29.Ta1 Tad8 30.Txb7 a6
31.f4 gxf3 32.Sxf3 Sg4 33.Lf1 Sxe3 34.Lxa6 Tb8 35.Kf2 Lxb2 36.Tb1 Sg4+
37.Ke2 Lg7 38.Txb8 Txb8 39.b4 Sf6 40.Lc4 Se4 41.Kd3 Sd6 42.b5 Lf6 43.Sd2
Ld8 44.Kc2 Lg5) +0.13/27 29} Rac8 {(29. ... Tac8 30.Txb7 Tc2 31.Tbxa7 Txb2
32.h3 h5 33.hxg4 hxg4 34.Le4 Txb3 35.T1a4 Tb2 36.Ta2 Tb4 37.T7a4 Tfb8
38.Txb4) +0.59/10 24} 30. Rxb7 {(30.Txb7 a6 31.Tb6 Tc2 32.Tb1 Td8 33.Le4
Tcd2 34.Txa6 Tb8 35.Ta8 Txa8 36.Lxa8 Sd3 37.f3 Sf2 38.Lc6 Lxb2 39.fxg4 Sh3+
40.Kh1 Sf2+ 41.Kg1) +0.01/25 8} Rc2 {(30. ... Tc2 31.Tb1 a6 32.Tb6 a5
33.Tb5 Td8 34.Txa5 Tdd2 35.Le4 Tc8 36.b4 Tc4 37.Ta8+ Lf8 38.Lg2 Txb4 39.b3
Kg7 40.Ta4 Tb6) +0.49/10 11} 31. Rb1 {(31.Tb1 a6 32.Tb6 Td8 33.Txa6 Tdd2
34.Ta8+ Lf8 35.Ta5 Sd3 36.Le4 Sxf2 37.Lxc2 Sh3+ 38.Kh1 Sf2+ 39.Kg1)
+0.01/27 10} a6 {(31. ... a6 32.Tb6 a5 33.Tb5 Td8 34.Le4 Tcd2 35.Txa5 f5
36.Lg2 Lf6 37.b4 Kf7 38.Ta7+ Le7 39.b5 Td1+ 40.Txd1) +0.32/11 33} 32. Rb6
{(32.Tb6 Td8 33.Le4 Te2 34.Txa6 Tdd2 35.Ta8+ Lf8 36.Tf1 Txb2 37.Sg2 Ted2
38.Sf4 Txb3 39.Tc1 Sf3+ 40.Lxf3 gxf3 41.Sh5 Tb5 42.g4 Tbb2 43.Sf6+ Kg7
44.Sh5+ Kg8) +0.01/27} a5 {(32. ... a5 33.Tb5 Td8 34.Le4 Tcd2 35.Txa5 Tb8
36.Sg2 Txb3 37.Sf4 Sf3+ 38.Lxf3 gxf3 39.Ta8+ Kh7 40.Ta7 Tbxb2 41.Tf1 Kg8
42.Ta8+ Lf8 43.Sh5 Ta2) +0.23/12 35} 33. Rb5 {(33.Tb5 Td2 34.Le4 Tc8
35.Txa5 Tb8 36.Sg2 Txb3 37.Sf4 Sf3+ 38.Kf1 Tdxb2 39.Txb2 Txb2 40.Ta8+ Lf8
41.Kg2 Se1+ 42.Kg1 Sf3+ 43.Kg2) -0.01/26 10} Rd8 {(33. ... Td8 34.Le4 Tcd2
35.Txa5 f5 36.Lg2 Sd3 37.Tf1 Lf6 38.Sg6 Kf7 39.Sf4 Sxf4 40.Ta7+ Kg6 41.gxf4
Txb2 42.Ta6 Kf7 43.Ta7+ Le7 44.Tc1 Tdd2 45.Tcc7) +0.21/13 9} 34. Rxa5
{(34.Txa5 Tdd2 35.Le4 Txb2 36.Txb2 Txb2 37.Tb5 f5 38.Lg2 Sd3 39.Sg6 Sxf2
40.Se7+ Kh7 41.Tb6 Sh3+ 42.Lxh3 gxh3 43.Txe6 Tb1+ 44.Kf2 Tb2+ 45.Kg1)
+0.01/28 11} Rdd2 {(34. ... Tdd2 35.Le4 Txb2 36.Txb2 Txb2 37.Tb5 Lf6 38.Kf1
Kf8 39.Tc5 Txb3 40.Sg2 Tb4 41.Lc2 Sf3 42.Se1 Sxh2+ 43.Kg2 Sf3 44.Sxf3 gxf3+
45.Kxf3 Tb7) +0.44/12 20} 35. Be4 {(35.Le4 Txb2 36.Txb2 Txb2 37.Tb5 f5
38.Lg2 Sd3 39.Sg6 Sxf2 40.Se7+ Kh7 41.Tb6 Sh3+ 42.Lxh3 gxh3 43.Txe6 Tb1+
44.Kf2 Tb2+ 45.Kg1) +0.01/33 6} Rxb2 {(35. ... Txb2 36.Txb2 Txb2 37.Tb5 Lf6
38.Kf1 Kg7 39.Kg2 h5 40.Kf1 Kh6 41.Kg1 Ta2 42.Tc5 Tb2 43.Tb5 Kg7 44.Sg2)
+0.43/13 10} 36. Rxb2 {(36.Txb2 Txb2 37.Tb5 f5 38.Lg2 Sd3 39.Sg6 Sxf2
40.Se7+ Kh7 41.Tb6 Lf8 42.Txe6 Lxe7 43.Txe7+ Kg6 44.Te6+ Kg5 45.e4 Sxe4
46.Lxe4 fxe4 47.Te5+ Kf6 48.Txe4 Tb1+ 49.Kf2 Tb2+ 50.Kg1) +0.01/31 1} Rxb2
{(36. ... Txb2 37.Tb5 Lf6 38.Kf1 Kg7 39.Kg2 h5 40.Kg1 Kh6 41.Kf1 Ta2 42.Tc5
Tb2 43.Tb5 Ta2 44.Tc5 Tb2 45.Tb5) +0.42/12 5} 37. Rb5 {(37.Tb5 f5 38.Lg2
Sd3 39.Sg6 Sxf2 40.Se7+ Kh7 41.Tb6 Sh3+ 42.Lxh3 gxh3 43.Txe6 Tb1+ 44.Kf2
Tb2+ 45.Kf1 Tb1+ 46.Ke2 Tb2+ 47.Kf1) +0.01/32 3} Bf6 {(37. ... Lf6 38.Kf1
Kg7 39.Kg2 h5 40.Kg1 Kh6 41.Kf1 Kg7 42.Sg2 Sf3 43.Lxf3 gxf3 44.Se1 Tb1
45.Tc5 Le7 46.Tc4 e5 47.e4) +0.41/10 8} 38. Kf1 {(38.Kf1 Sd7 39.Sg2 Le7
40.Se1 Sc5 41.Lc2 Kg7 42.Ke2 Se4 43.Tb7 Lc5 44.Td7 Ta2 45.Kf1 Sf6 46.Tc7
Ld6 47.Tc6 Lf8 48.Sd3 Sd5 49.Kg2 Se7 50.Tc7 Sd5 51.Tc8 Sb6) +0.50/28 9} Kf8
{(38. ... Kf8 39.Lh7 Ke7 40.Tb7+ Kf8 41.Tb5 Ke7 42.Tb7+ Kf8 43.Tb5)
+0.48/10 40} 39. Ng2 {(39.Sg2 Sf3 40.Lxf3 gxf3 41.Tb8+ Kg7 42.Se1 Tb1
43.Tc8 Le7 44.Tc4 h5 45.h4 Kf6 46.Ta4 Kg7 47.Tc4) +0.01/34 27} Nf3 {(39.
... Sf3 40.Lc6 Se5 41.Tb8+ Kg7 42.Le8 Sf3 43.Sf4 Tb1+ 44.Ke2 Tb2+ 45.Kf1
Tb1+ 46.Ke2 Tb2+ 47.Kf1) +1.18/11 19} 40. Bxf3 {(40.Lxf3 gxf3 41.Se1 Tb1
42.Tb8+ Kg7 43.Tc8 Le7 44.Tc4 Kf8 45.Tc8+ Kg7) +0.01/39 5} gxf3 {(40. ...
gxf3 41.Se1 Tb1 42.Tc5 e5 43.Tc4 Ld8 44.Ta4 h5 45.h3 Ke7 46.e4 Lb6 47.b4 f5
48.exf5 e4 49.b5 e3) +2.10/12 18} 41. Ne1 {(41.Se1 Tb1 42.Tb8+ Ke7 43.Tc8
Kd6 44.h3 Le7 45.Tc4 e5 46.g4 Kd5 47.e4+ Ke6 48.Tc6+ Kd7 49.Tc4 Ld6 50.h4
Ke6 51.g5 h5 52.Tc6 Txb3 53.Tc1 Ta3 54.Td1 Lc5 55.Td3 Ta4 56.Sxf3 Txe4
57.g6 Tg4 58.Sg5+ Kf6 59.Sxf7 Txh4 60.Tc3) -0.33/34 3} Rb1 {(41. ... Tb1
42.Tc5 e5 43.Tc4 e4 44.g4 Le5 45.h3 f6 46.b4 Kf7 47.b5 Ke6 48.b6 Kd5 49.Tc8
Ld6 50.b7 Txb7 51.Tc1) +2.31/12 9} 42. Rc5 {(42.Tc5 Ke7 43.Tc4 Kd6 44.h4 e5
45.e4 Txb3 46.Tc1 Le7 47.Kg1 Ke6 48.Tc6+ Ld6 49.Sc2 Kd7 50.Tc4 Tb1+ 51.Kh2
Tf1 52.g4 Txf2+ 53.Kg3 Td2 54.Kxf3 Le7 55.Se3 Lxh4 56.Sf5 Lg5 57.Ta4 Td3+
58.Ke2 Tc3 59.Ta7+ Tc7 60.Ta5 Lf4 61.Td5+ Kc6 62.Td6+ Kc5 63.Td5+ Kb6
64.Sd6 f6 65.Sf5) -0.42/35 16} e5 {(42. ... e5 43.Tc4 e4 44.g4 Le5 45.h3 f6
46.b4 Kf7 47.b5 Ke6 48.b6 Kd5 49.Tc8 Ld6 50.b7 Txb7 51.Tc1 Le5 52.Td1+)
+2.50/11 2} 43. e4 {(43.e4 Le7 44.Tb5 Lg5 45.Td5 Le7 46.Tb5) +0.01/35 25}
Be7 {(43. ... Le7 44.Tc4 Kg7 45.h3 Kg6 46.Ta4 f6 47.Tc4 h5 48.Ta4 Lc5
49.Tc4 Ld4 50.b4 f5 51.Tc6+ Kf7 52.exf5) +3.01/12 14} 44. Rc4 {(44.Tc4 Kg7
45.h4 h5 46.Ta4 Lc5 47.Tc4 Lb6 48.b4 Ld4 49.Tc2 Lb2 50.Txb2 Txb2 51.Sxf3 f6
52.Ke1 Txb4 53.Sd2 Ta4 54.Ke2 Kg6 55.Kd3 Ta2 56.Ke3 Ta3+ 57.Ke2 Tc3 58.f3
Kg7 59.Sb1 Tc2+ 60.Sd2 Kg6 61.f4 Tc3 62.fxe5 fxe5 63.Sf3) -1.22/34 9} Kg7
{(44. ... Kg7 45.h3 Kg6 46.Ta4 f6 47.Tc4 Kg5 48.Ta4 h5 49.Tc4 h4 50.g4 La3
51.Ta4 Lc5 52.Tc4 Lb6 53.b4 Ld4 54.Tc6) +3.67/14 8} 45. Ra4 {(45.Ta4 Lc5
46.Tc4 Lb6 47.b4 Ld4 48.Tc2 Lb2 49.Txb2 Txb2 50.Sxf3 Kf6 51.b5 Txb5 52.Ke2
Tb2+ 53.Ke3 Tb3+ 54.Ke2 Tb4 55.Ke3 Tb1 56.Sd2 Te1+ 57.Kf3 Tc1 58.Ke2 Tc2
59.Ke3 h5 60.h4 Tc3+ 61.Ke2 Tc6 62.Kd3 Tc1 63.Sc4 Tb1 64.Se3 Tb2 65.f4 Ta2
66.fxe5+ Kxe5 67.Sc4+ Ke6 68.Ke3) -1.06/38 15} Kg6 {(45. ... Kg6 46.h3 Kg5
47.b4 Kg6 48.b5 Lb4 49.Txb4 Txb4 50.Sxf3 Txe4 51.b6 Kf6 52.Sh2 h5 53.g4
hxg4 54.Sxg4+ Ke6 55.Se3 Tb4 56.Kg2 Txb6) +4.46/13 7} 46. Rc4 {(46.Tc4 Kg5
47.h3 La3 48.Ta4 Txb3 49.Ta5 Lb4 50.Txe5+ Kg6 51.Tb5 Tb1 52.Tb6+ Kg7
53.Txb4 Txb4 54.Sxf3 Txe4 55.Sd2 Ta4 56.Ke2 Kf6 57.Kd3 Ta3+ 58.Ke2 Ke6
59.Sc4 Tb3 60.Se3 f5 61.h4 Tb2+ 62.Kf3 Ta2 63.Sc4 Tc2 64.Se3 Tb2 65.Sc4 Tb4
66.Se3 Ke5 67.h5) -1.06/36 23} Kg5 {(46. ... Kg5 47.h3 h5 48.Ta4 h4 49.Tc4
f6 50.g4 Ta1 51.b4 Kg6 52.b5 Ld8 53.Tc3 La5 54.Te3 Ld2 55.b6 Lxe3 56.fxe3
Tb1 57.Kf2 Tb2+ 58.Kxf3 Th2 59.b7 Tb2) +4.36/14 17} 47. h3 {(47.h3)
-1.06/36 3} h5 {(47. ... h5 48.Ta4 h4 49.Tc4 f6 50.g4 Txb3 51.Tc7 La3
52.Ta7 Kf4 53.Ta4 Le7 54.Tc4 Ld8 55.Ta4 Lb6 56.Ta6 Kxe4 57.Ta4+ Ld4)
+4.34/13 14} 48. Ra4 {(48.Ta4 h4 49.Tc4 Kh5 50.g4+ Kg5 51.Ta4 Txb3 52.Ta7
Lb4 53.Tb7 Tb1 54.Txb4 Txb4 55.Sxf3+ Kf4 56.Sxh4 Kxe4 57.Kg2 Kf4 58.Sf5 Tb2
59.Se3 Td2 60.Sf5 Td3 61.Se3 e4 62.Sc4 Td4 63.Se3 Td2 64.Sf5 Tb2 65.Se3 Tb1
66.Sf5 Tb6 67.Sd4) -1.19/34 22} h4 {(48. ... h4 49.Tc4 f6 50.g4 Txb3 51.Tc7
La3 52.Ta7 Kf4 53.Ta4 Lc5 54.Tc4 Ld4 55.Tc6 Tb1 56.Txf6+ Kxe4 57.Txf3 Txe1+
58.Kxe1 Kxf3 59.g5 e4 60.g6 Lh8 61.Kf1 La1) +4.87/12 1} 49. Rc4 {(49.Tc4
Kh5 50.g4+ Kg5 51.Ta4 Txb3 52.Ta7 Lb4 53.Tb7 Tb1 54.Txb4 Txb4 55.Sxf3+ Kf4
56.Kg2 Kxe4 57.Sxh4 Kf4 58.Sf5 e4 59.Sd6 Td4 60.Sf5 Td3 61.Se3 Td8 62.Sf5
Td5 63.Se3 Td2 64.Sf5 Ta2 65.Se3 Ta3 66.Sd5+ Ke5 67.Se3 Tb3 68.Sc4+ Kd5)
-1.21/33 5} f6 {(49. ... f6 50.g4 Txb3 51.Tc7 La3 52.Ta7 Kf4 53.Ta4 Lc5
54.Tc4 Ld4 55.Tc6 Tb1 56.Txf6+ Kxe4 57.Txf3 Txe1+ 58.Kxe1 Kxf3 59.g5 e4
60.g6 Lh8 61.Kf1 La1 62.Kg1) +5.24/14 4} 50. b4 {(50.b4 hxg3 51.fxg3 Lxb4
52.Txb4 Txb4 53.Sxf3+ Kg6 54.Sd2 Ta4 55.Ke2 f5 56.exf5+ Kxf5 57.h4 Ta3
58.Kf2 Td3 59.Sf1 Ke4 60.h5 Ta3 61.Kg2 Ta6 62.Sd2+ Kd3 63.Sf3 e4 64.Se5+
Kd4 65.Sf3+ exf3+ 66.Kxf3 Tf6+ 67.Kg4 Ke4 68.Kg5 Tf3 69.Kg4 Tf8) -1.37/29
7} hxg3 {(50. ... hxg3 51.fxg3 Lxb4 52.Txb4 Txb4 53.Sxf3+ Kg6 54.Sd2 Tb2
55.Ke2 Ta2 56.Ke3 Ta3+ 57.Kf2 Ta4 58.Kf3 Ta8 59.Sc4 Ta1 60.h4) +4.28/13 22}
51. fxg3 {(51.fxg3) -1.37/29} Bxb4 {(51. ... Lxb4 52.Txb4 Txb4 53.Sxf3+ Kg6
54.Sd2 Tb2 55.Ke2 Tc2 56.Ke3 Tc1 57.Ke2 Th1 58.h4 Th2+ 59.Ke3 Kh5 60.Sf1
Ta2) +4.12/13 10} 52. Rxb4 {(52.Txb4 Txb4 53.Sxf3+ Kg6 54.Sd2 f5 55.Ke2 Ta4
56.h4 Ta3 57.h5+ Kxh5 58.exf5 Kg5 59.Sc4 Ta2+ 60.Kf3 Kxf5 61.g4+ Kf6 62.Ke4
Ke6 63.Kf3 Ta4 64.Se3 Kf6 65.Sd1 Tc4 66.Sf2 Tc3+ 67.Ke2 Ta3 68.Se4+ Ke6
69.Kd2 Ta2+ 70.Ke3 Ta7 71.Sc3 Ta3 72.Kd3) -1.85/32 9} Rxb4 {(52. ... Txb4
53.Sxf3+ Kg6 54.Sd2 Ta4 55.Ke2 f5 56.Kf3 Ta3+ 57.Kf2 f4 58.gxf4 exf4 59.Sf3
Te3 60.Sh4+ Kg5 61.Sf3+ Kh5) +4.01/14} 53. Nxf3+ {(53.Sxf3+ Kg6 54.Sd2 f5
55.Kf2 Ta4 56.h4 Ta2 57.Ke2 f4 58.g4 Ta4 59.Kd1 Kf6 60.Ke2 Td4 61.g5+ Kg6
62.Ke1 Kh5 63.Ke2 Ta4 64.Kf2 Ta2 65.Ke2 Ta3 66.Sc4 Ta4 67.Sxe5 Txe4+ 68.Kf3
Txe5 69.Kxf4 Ta5 70.Ke4 Ta4+ 71.Kf5) -1.97/32 19} Kg6 {(53. ... Kg6 54.Sd2
Ta4 55.Ke2 f5 56.exf5+ Kxf5 57.h4 Ta3 58.Kf2 e4 59.Sf1 Ta2+ 60.Ke3 Ke5
61.h5 Ta3+ 62.Kf2) +4.35/13 2} 54. Nd2 {(54.Sd2 Ta4 55.Kf2 f5 56.h4 Ta2
57.Ke2 Ta3 58.h5+ Kxh5 59.exf5 Kg5 60.Sc4 Ta2+ 61.Kf3 Kxf5 62.Se3+ Kf6
63.Sc4 Ta4 64.Se3 Kg5 65.Sg2 Tc4 66.Ke3 Kf5 67.Kd3 Td4+ 68.Ke3 Ta4 69.Sh4+
Ke6 70.Kf3 Ta3+ 71.Kg4 Kd5) -2.04/29 4} Ra4 {(54. ... Ta4 55.Ke2 f5 56.h4
fxe4 57.g4 e3 58.Sf3 Kf6 59.g5+ Kf5 60.Kxe3 Ta3+ 61.Kf2 Kf4 62.Sg1 Kg4
63.g6 Ta6 64.Sf3 Kf4 65.h5 Ta2+) +4.63/13 2} 55. Ke2 {(55.Ke2 f5 56.h4 Ta3
57.h5+ Kxh5 58.exf5 Kg5 59.Sc4 Ta2+ 60.Kf3 Kxf5 61.Se3+ Kf6 62.Sc4 Ta4
63.Se3 Kg5 64.Sd5 Td4 65.Se7 Kf6 66.Sg8+ Kf5 67.Se7+ Ke6 68.Sg6 Kf6 69.Sh4
Ta4 70.Ke2 Te4+ 71.Kf3 Tb4 72.Ke2 Ta4 73.Sf3) -2.10/31 17} f5 {(55. ... f5
56.h4 Ta2 57.exf5+ Kxf5 58.h5 Ta3 59.Sf1 Kg5 60.Sd2 Kxh5 61.Sc4 Ta4 62.g4+
Kg5 63.Sxe5 Te4+ 64.Kd2 Txe5) +4.70/12 2} 56. h4 {(56.h4 Ta3 57.h5+ Kxh5
58.exf5 Kg5 59.Sc4 Ta2+ 60.Kf3 Kxf5 61.Se3+ Kf6 62.Sg4+ Ke6 63.Se3 Ta3
64.Ke4 Ta4+ 65.Kf3 Td4 66.Sc2 Td3+ 67.Se3 Kf6 68.Ke4 Td4+ 69.Kf3 Kg5 70.Ke2
e4 71.Sd1 Kf5 72.Se3+ Ke6 73.Sg4 Ta4 74.Ke3 Kf5 75.Sh6+ Ke5 76.Sg4+ Ke6
77.Sf2 Kf5 78.g4+ Ke5 79.g5 Ta3+ 80.Ke2 Kf4) -2.25/33 16} Ra3 {(56. ... Ta3
57.Kf2 Ta2 58.Ke2 f4 59.g4 Kf6 60.Ke1 Ta3 61.Kf2 Te3 62.g5+ Kg6 63.Sc4 Txe4
64.Sd6 Td4 65.Sb5) +4.90/11 33} 57. exf5+ {(57.exf5+ Kxf5 58.Sf1 Ke4 59.h5
Ta2+ 60.Sd2+ Kd4 61.h6 e4 62.h7 Ta8 63.Sb3+ Kd5 64.Ke3 Th8 65.Sc1 Ke5
66.Se2 Txh7 67.Sf4 Tg7 68.Se2 Ta7 69.Sc3 Ta8 70.Ke2 Tf8 71.Ke1 Tf3 72.Se2
Ta3 73.Kf1 e3 74.g4 Ta2 75.g5 Kf5 76.g6 Kxg6) -2.25/34} Kxf5 {(57. ... Kxf5
58.Sf1 Ke4 59.h5 Tc3 60.Sd2+ Kf5 61.Sf1 Kg5 62.Sd2 Kxh5 63.Sf3 Tc5 64.Ke3
Kg6 65.Ke4 Kf6 66.g4 Tc4+ 67.Kd5) +4.86/10 15} 58. Nf1 {(58.Sf1 Ke4 59.h5
Kd4 60.h6 e4 61.h7 Ta8 62.Se3 Th8 63.Sc2+ Ke5 64.Ke3 Txh7 65.Sd4 Th6 66.Se2
Th3 67.Kf2 Th2+ 68.Ke3 Tg2 69.Kd2 Tf2 70.Ke3 Tf3+ 71.Kd2 Td3+ 72.Ke1 Ta3
73.Kf2 Kf5 74.Sd4+ Kg4 75.Se6 Txg3 76.Sd4 Th3 77.Se6 Kf5) -2.25/33 3} Ke4
{(58. ... Ke4 59.h5 Ta2+ 60.Sd2+ Kd4 61.h6 e4 62.h7 Ta8 63.Sb3+ Kd5 64.Ke3
Th8 65.Sd2 Txh7 66.Sxe4 Te7 67.Kf3 Txe4 68.g4 Te7 69.Kf4 Ke6 70.Kg5)
+6.04/14 16} 59. h5 {(59.h5 Kd4 60.h6 e4 61.h7 Ta8 62.Se3 Th8 63.Sc2+ Ke5
64.Ke3 Txh7 65.Sd4 Th6 66.Se2 Tf6 67.Sf4 Ta6 68.Kf2 Ta3 69.Sg6+ Kf5 70.Se7+
Kg4 71.Ke2 Txg3 72.Kf2 Ta3 73.Ke2 Td3 74.Sg6 Th3 75.Se5+ Kf4 76.Sg6+ Kf5
77.Se7+ Kg5 78.Kf2 e3+ 79.Ke2 Kf4 80.Sc6) -2.25/33 2} Ra2+ {(59. ... Ta2+
60.Sd2+ Kd4 61.h6 e4 62.h7 Ta8 63.Sb3+ Kd5 64.Ke3 Th8 65.Sd2 Txh7 66.Sxe4
Te7 67.Kf3 Txe4 68.g4 Te7 69.Kf4 Ke6 70.Kg5 Tg7+) +7.00/15 12} 60. Nd2+
{(60.Sd2+ Kd4 61.h6 e4 62.h7 Ta8 63.Sb3+ Kd5 64.Sc1 Th8 65.Ke3 Txh7 66.Se2
Ke5 67.Sf4 Tg7 68.Kf2 Ta7 69.Ke3 Ta3+ 70.Kf2 Tf3+ 71.Kg2 Kf5 72.Sh3 Ta3
73.Sf4 Ta2+ 74.Kf1 e3 75.Sd3 Th2 76.Sc5 Ke5 77.Sb3 Ta2 78.g4 Kd5 79.Ke1 Ke4
80.Kf1 Ta3 81.g5 Txb3 82.Ke2 Kf5) -3.84/35 19} Kd4 {(60. ... Kd4 61.h6 e4
62.h7 Ta8 63.Sb3+ Kd5 64.Ke3 Th8 65.Sd2 Txh7 66.Sxe4 Te7 67.Kf3 Txe4 68.g4
Te7 69.Kf4 Ke6 70.Kg5 Tg7+ 71.Kf4 Tb7) +7.57/14 1} 61. h6 {(61.h6) -4.21/33
15} e4 {(61. ... e4 62.h7 Ta8 63.Sb3+ Kd5 64.Ke3 Th8 65.Sd2 Txh7 66.Sxe4
Te7 67.Kf3 Txe4 68.g4 Te7 69.Kf4 Ke6 70.Kg5 Tg7+ 71.Kf4 Tb7) +8.03/14 1}
62. h7 {(62.h7 Ta8 63.Sb3+ Kd5 64.Sc1 Th8 65.Ke3 Txh7 66.Se2 Ke5 67.Sf4 Tg7
68.Se2 Tg6 69.Kd2 Td6+ 70.Ke3 Td3+ 71.Kf2 Kf5 72.Sf4 Tf3+ 73.Ke2 Txg3
74.Sd5 Ke5 75.Se3 Tg5 76.Sc4+ Kf4 77.Se3 Th5 78.Sg2+ Kg3 79.Se3 Th2+ 80.Ke1
Kf3 81.Sc4 Th1+ 82.Kd2 Kf4 83.Kc2 e3 84.Kc3) -4.55/33 16} Ra8 {(62. ... Ta8
63.Sb3+ Kd5 64.Ke3 Th8 65.Sd2 Txh7 66.Kf4 Tf7+ 67.Ke3 Ta7 68.Kf4 Tf7+
69.Ke3 Te7 70.g4 Te8 71.g5 Te6 72.g6 Te7) +8.30/15} 63. Nb3+ {(63.Sb3+ Kd5
64.Ke3 Th8 65.Sd4 Txh7 66.Se2 Ke5 67.Sf4 Tg7 68.Se2 Tg6 69.Kd2 Td6+ 70.Ke3
Td3+ 71.Kf2 Kf5 72.Sf4 Tf3+ 73.Ke2 Txg3 74.Sd5 Ke5 75.Sc7 Tg1 76.Ke3 Tg2
77.Sb5 Tg3+ 78.Ke2 e3 79.Ke1 Tg2 80.Sa7 Tg6 81.Sc8 Tg3 82.Ke2 Kf4 83.Kd3
Tg2) -4.96/33 15} Kd5 {(63. ... Kd5 64.Ke3 Th8 65.Sd2 Txh7 66.Kf4 Kd4
67.Sb3+ Kd5 68.Sd2 Tf7+ 69.Ke3 Ta7 70.Kf4 Tf7+ 71.Ke3 Te7 72.g4 Te8 73.g5
Te6 74.g6) +8.53/12} 64. Ke3 {(64.Ke3 Th8 65.Sd4 Txh7 66.Se2 Ke5 67.Sf4 Tg7
68.Kf2 Tc7 69.Sg2 Tf7+ 70.Ke2 Tg7 71.Kf2 Kd4 72.g4 Txg4 73.Se3 Tf4+ 74.Ke2
Tf3 75.Sc2+ Ke5 76.Sb4 Th3 77.Kf1 Kf4 78.Kg1 Tb3 79.Sd5+ Kf3 80.Se7 e3
81.Sg6 Tb1+ 82.Kh2 e2) -5.29/29 14} Rh8 {(64. ... Th8 65.Sd2 Txh7 66.Kf4
Tf7+ 67.Ke3 Tc7 68.g4 Tc3+ 69.Kf4 e3 70.Sf3 e2 71.g5 Txf3+ 72.Kxf3 e1D
73.g6 De8 74.g7 Df7+) +8.91/12 11} 65. Nd4 {(65.Sd4) -6.13/30 3} Rxh7 {(65.
... Txh7 66.Se2 Ke5 67.Sc3 Ta7 68.Sxe4 Ta3+ 69.Sc3 Txc3+ 70.Ke2 Tc8 71.Kd3
Tg8 72.Ke3 Ta8) +10.24/9 15} 66. Nb5 {(66.Sb5 Ke5 67.Sa3 Tb7 68.Sc4+ Kd5
69.Sd2 Ta7 70.Sb1 Ke5 71.g4 Th7 72.Sc3 Th3+ 73.Kd2 Td3+ 74.Kc2 Tg3 75.Kd2
Txg4 76.Sb5 Tg3 77.Ke2 Th3 78.Ke1 e3 79.Kd1 Tg3 80.Sc3 Tg2 81.Kc1 Kf4
82.Sd5+ Kf3 83.Sc3 Tg1+ 84.Kb2 e2 85.Kb3) -6.13/30} Ke5 {(66. ... Ke5
67.Sd4 Th6 68.Se2 Ta6 69.Sc3 Ta3 70.Kd2 Tb3 71.Se2 e3+ 72.Kc2 Ta3 73.Sc3)
+11.85/9 27} 67. Nd4 {(67.Sd4) -6.13/30} Rc7 {(67. ... Tc7 68.Se2 Tg7
69.Kf2 Tf7+ 70.Ke3 Tf3+ 71.Kd2 Ta3 72.g4 e3+ 73.Kc2 Ke4 74.g5) +12.48/9 20}
68. Ne2 {(68.Se2) -30.44/29 16} Rg7 {(68. ... Tg7 69.Kf2 Ta7 70.Ke3 Ta3+
71.Kf2 Tf3+ 72.Ke1 e3 73.g4 Th3 74.Kf1 Th2 75.g5) +12.99/9 11} 69. Kd2
{(69.Kd2 Td7+ 70.Ke3 Td3+ 71.Kf2 Kf5 72.Sf4 Tf3+ 73.Ke2 Txg3 74.Sd5 Ke5
75.Se3 Th3 76.Kd2 Kf4 77.Sd5+ Kf3 78.Kc3 e3 79.Sb4 e2 80.Sc2 Th1 81.Sd4+
Kf2 82.Sxe2 Kxe2 83.Kd4 Th4+ 84.Kd5 Ke3 85.Ke6 Ke4 86.Ke7 Th7+ 87.Kd6 Th6+
88.Ke7 Ke5 89.Kf7 Th7+ 90.Kg6 Th2 91.Kg7) -67.12/31 15} Ra7 {(69. ... Ta7
70.Ke3 Ta3+ 71.Kf2 Tf3+ 72.Ke1 e3 73.g4 Th3 74.Kf1 Th2 75.g5 Ke4 76.g6
Tf2+) +12.86/8 30} 70. Ke3 {(70.Ke3 Ta3+ 71.Kf2 Kf5 72.g4+ Kxg4 73.Sd4 Td3
74.Se6 Tg3 75.Kf1 e3 76.Sd4 Kg5 77.Ke2 Kf4 78.Kd3 Tg4 79.Kc3 Tg2 80.Sb3 Td2
81.Sxd2 e2 82.Kd3 e1D 83.Sc4 Dh1 84.Kc3 De4 85.Kb3 Dd3+ 86.Kb4 Ke4 87.Sb6)
-71.77/29 15} Ra3+ {(70. ... Ta3+ 71.Kf2 Tf3+ 72.Ke1 e3 73.g4 Th3 74.Kf1
Th2 75.g5 Ke4 76.g6 Tf2+) +13.27/8 11} 71. Kf2 {(71.Kf2) -72.61/31 2} Rf3+
{(71. ... Tf3+ 72.Ke1 Tf8 73.Kd2 Tf3 74.Ke1 e3 75.g4 Th3 76.Kf1 Th2 77.g5
Ke4) +13.60/8 19} 72. Kg2 {(72.Kg2) -74.55/29 16} Rf7 {(72. ... Tf7 73.g4
Tf8 74.g5 e3 75.g6 Ke4 76.Sg3+ Kd3 77.g7 Tg8 78.Sh5 e2 79.Sf4+) +14.25/7
36} 73. Nf4 {(73.Sf4 e3 74.Kf3 Kd4 75.Ke2 Ke4 76.Ke1 Ta7 77.Se6 Ta1+ 78.Ke2
Ta2+ 79.Ke1 Tg2 80.g4 Txg4 81.Ke2 Tg2+ 82.Kd1 Tg1+ 83.Ke2 Tg3 84.Sc5+ Kd4
85.Se6+ Kd5 86.Sf4+ Ke4 87.Sd3 Tg2+ 88.Kf1 Td2 89.Se1 Th2 90.Sg2 e2+ 91.Kf2
Txg2+ 92.Ke1 Tg6 93.Kf2 Kd3 94.Kf3 Tf6+ 95.Kg2) -76.49/32 17} Kd4 {(73. ...
Kd4 74.Kf2 Tf6 75.Ke2 Ta6 76.Kf2 Ta2+ 77.Se2+ Kd3 78.Kf1 Txe2 79.g4)
+14.09/7 28} 74. Ne6+ {(74.Se6+ Kd5 75.Sf4+ Ke5 76.Kf2 Kd4 77.Ke1 e3
78.Se6+ Kd5 79.Sf4+ Ke4 80.Se6 Tf6 81.Sc5+ Kf3 82.Sd3 Th6 83.Se5+ Ke4
84.Sd7 Td6 85.Sc5+ Kf3 86.Sa4 Th6 87.Kd1 Th1+ 88.Kc2 e2 89.Sc3 e1D 90.Kb3
Dxg3 91.Ka4 De1 92.Sa2 Tg1 93.Kb5 De2+ 94.Kb6) -76.24/31 18} Ke3 {(74. ...
Ke3 75.g4 Te7 76.Kg3 Txe6 77.g5 Kd4 78.Kh4 Ke5 79.g6) +16.52/7 25} 75. Kh3
{(75.Kh3 Tf6 76.Sg7 Kf3 77.Kh4 e3 78.Kg5 Kxg3 79.Kxf6 e2 80.Sf5+ Kf2 81.Ke5
e1D+ 82.Kd5 Kf3 83.Sd4+ Kf4 84.Se6+ Ke3 85.Kd6 Dd1+ 86.Kc6 Ke4 87.Sc5+ Kd4
88.Sa6 Da4+ 89.Kb6 Dc4 90.Kb7 Kd5 91.Sc7+ Kd6 92.Se8+ Ke5 93.Sc7 Dc5
94.Kb8) -72.17/29 18} Re7 {(75. ... Te7 76.Sg5 Te8 77.Kg4 Kd3 78.Sh3 e3
79.Kf5 Kd4) +17.86/7 27} 76. Ng5 {(76.Sg5 Kf2 77.Kh4 e3 78.Sh3+ Kg2 79.Sf4+
Kf3 80.Sd3 Th7+ 81.Kg5 Kxg3 82.Sc1 Th2 83.Sd3 e2 84.Kf5 Th1 85.Ke5 Td1
86.Ke4 Txd3 87.Kxd3 e1D 88.Kc4 Da5 89.Kb3 Db5+ 90.Ka2 Kf3 91.Ka1 Ke4 92.Ka2
Kd3 93.Ka1 Kc3) -72.77/31 18} Kd3 {(76. ... Kd3 77.Kg4 e3 78.Sh3 Ke4
79.Sg5+ Kd3 80.Sh3 Kd2) +17.84/7 16} 77. Kh4 {(77.Kh4 e3 78.Sf3 e2 79.Se1+
Kd2 80.Sf3+ Ke3 81.Se1 Tf7 82.Sg2+ Ke4 83.Kg5 Tf1 84.Kh5 Th1+ 85.Kg5 Tg1
86.Se1 Txe1 87.g4 Tf1 88.Kh5 Kd5 89.Kh6 e1D 90.Kh5 De5+ 91.g5 Th1+ 92.Kg6
De4+ 93.Kf6 De6+ 94.Kg7 De7+ 95.Kg8) -M22/28 17} e3 {(77. ... e3 78.Sh3 Ke4
79.Kg5 e2 80.Kf6 e1D 81.Kxe7 Dxg3) +19.55/6 3} 78. Nf3 {(78.Sf3 e2 79.Se1+
Kd2 80.Sf3+ Ke3 81.Se1 Tf7 82.Sg2+ Ke4 83.Kg5 Tf2 84.Se1 Tf5+ 85.Kg4 Tf1
86.Sg2 Tg1 87.Kh5 Txg2 88.g4 Kd3 89.Kh6 e1D 90.Kh7 De4+ 91.Kg7 Txg4+ 92.Kf6
Tg6+ 93.Kf7 Df5+ 94.Ke8 Dh3 95.Kd8 Tc6 96.Ke8) -M22/29 11} Ke4 {(78. ...
Ke4 79.Sg1 Tf7 80.Kg5 Tf1 81.Se2 Tf2 82.Sc1 Tc2) +20.99/6 7} 79. Ng5+
{(79.Sg5+) -98.09/28 14} Kf5 {(79. ... Kf5 80.g4+ Kf4 81.Sh3+ Ke5 82.Sg1
Kf4 83.Se2+ Kf3 84.Sd4+ Ke4 85.Se2) +22.15/6 5} 80. g4+ {(80.g4+ Kg6 81.Sf3
e2 82.Se1 Th7+ 83.Kg3 Tf7 84.g5 Kxg5 85.Kh3 Tf1 86.Kg3 Txe1 87.Kf2 Kg4
88.Kxe1 Kf3 89.Kd2 Kf2 90.Kc3 e1D+ 91.Kc4 De6+ 92.Kb4 Dd7 93.Kc3 Ke3 94.Kc4
Dc6+ 95.Kb4 Ke2 96.Ka5 Kd3 97.Kb4 Db6+ 98.Ka4 Kc2 99.Ka3) -M20/32 12} Kf4
{(80. ... Kf4 81.Sh3+ Kf3 82.Kg5 Kg3 83.Sg1 Tf7 84.Se2+ Kf2 85.Sc1)
+20.48/8 1} 81. Nh3+ {(81.Sh3+ Kf3 82.Sg1+ Kf2 83.Sh3+ Kg2 84.Sf4+ Kf3
85.Sd3 e2 86.Se1+ Ke4 87.g5 Th7+ 88.Kg3 Tf7 89.g6 Tf1 90.g7 Txe1 91.Kf2
Tf1+ 92.Kxe2 Tg1 93.Kd2 Txg7 94.Kc3 Tc7+ 95.Kd2 Tc4 96.Ke2 Tc2+ 97.Ke1 Ke3
98.Kf1 Tf2+ 99.Kg1 Te2 100.Kh1 Kf3) -67.77/27 10} Kf3 {(81. ... Kf3 82.Kg5
Kg3 83.Sg1 e2 84.Sxe2+ Txe2 85.Kf5 Tf2+ 86.Ke6 Kxg4) +17.92/7 6} 82. Ng1+
{(82.Sg1+ Kf2 83.Sh3+ Kg2 84.Sf4+ Kf3 85.Sd3 e2 86.Se1+ Ke4 87.g5 Th7+
88.Kg3 Tf7 89.g6 Tf1 90.g7 Txe1 91.Kf2 Tg1 92.Kxe2 Txg7 93.Kd2 Tc7 94.Ke2
Tc2+ 95.Kd1 Kd3 96.Ke1 Te2+ 97.Kf1 Ke3 98.Kg1 Kf3 99.Kf1 Tf2+ 100.Kg1 Tg2+
101.Kh1) -67.77/27 2} Kf4 {(82. ... Kf4 83.Se2+ Kf3 84.Kg5 Kxe2 85.Kf6 Te8
86.Kg5 Kf3 87.Kf5) +17.60/7 9} 83. Nh3+ {(83.Sh3+) 0.00/41 4} Ke4 {(83. ...
Ke4 84.Kg3 e2 85.Kf2 Kd3 86.Sf4+ Kd2 87.Sxe2 Txe2+ 88.Kf3 Kd3 89.Kf4 Kd4
90.Kf5) +16.01/7 6} 84. Ng1 {(84.Sg1 Th7+ 85.Kg3 Th1 86.Se2 Te1 87.Sf4 Tg1+
88.Kh2 Txg4 89.Se2 Kf3 90.Kh3 Kxe2 91.Kxg4 Kf2 92.Kf4 e2 93.Ke4 e1D+ 94.Kd5
Dc3 95.Kd6 Dd4+ 96.Ke6 Dd2 97.Kf7 Kf3 98.Kg8 Kf4 99.Kg7 Dd3 100.Kf7)
-72.77/27 11} Rd7 {(84. ... Td7 85.g5 Td1 86.Se2 Kf3 87.g6 Kxe2 88.Kg5 Kd3
89.Kf6 e2 90.g7) +16.25/6 6} 85. Kg3 {(85.Kg3 Td1 86.Se2 Te1 87.Sc3+ Kd4
88.Sb5+ Kd3 89.Kf4 Tf1+ 90.Kg5 e2 91.Sd6 e1D 92.Sf5 De5 93.Kg6 De6+ 94.Kh5
Tf2 95.Sh4 Th2 96.Kg5 De7+ 97.Kf5 Tf2+ 98.Kg6 Tf6+ 99.Kg5 Tf1+ 100.Kh5 Tf7
101.g5 Th7+ 102.Kg4) -M24/25 10} Rd1 {(85. ... Td1 86.Se2 Td2 87.Sg1 Td1
88.Se2 Kd3 89.Sf4+ Kd2 90.g5) +17.22/6 4} 86. Kh2 {(86.Kh2 Txg1 87.Kxg1 Kd3
88.g5 e2 89.Kf2 Kd2 90.g6 e1D+ 91.Kf3 De3+ 92.Kg4 De5 93.g7 Dxg7+ 94.Kf5
De7 95.Kg6 Kd3 96.Kh6 Df6+ 97.Kh7 Ke3 98.Kg8 De7 99.Kh8 Kd4 100.Kg8 Ke5
101.Kh8 Kf6 102.Kg8) -M17/27 4} Kf4 {(86. ... Kf4 87.g5 Kxg5 88.Kg2 Kg4
89.Kh1 e2 90.Kg2) +18.75/6 6} 87. Kg2 {(87.Kg2 Txg1+ 88.Kxg1 Kxg4 89.Kg2
Kf4 90.Kf1 Kf3 91.Ke1 e2 92.Kd2 Kf2 93.Kc3 e1D+ 94.Kc4 Dd2 95.Kb5 Dd7+
96.Kc4 Ke3 97.Kc5 Kd3 98.Kb4 Dd6+ 99.Kb3 Db8+ 100.Ka3 Kc3 101.Ka4) -M15/30
9} Kxg4 {(87. ... Kxg4 88.Se2 Td8 89.Sg1 Td2+ 90.Kf1 Kf4 91.Ke1) +20.88/6
4} 88. Ne2 {(88.Se2 Tb1 89.Sd4 Tc1 90.Se2 Td1 91.Sg1 Txg1+ 92.Kxg1 Kg3
93.Kf1 Kf3 94.Ke1 e2 95.Kd2 Kf2 96.Kd3 e1D 97.Kc4 De4+ 98.Kb5 Ke3 99.Kc5
De6 100.Kb4 Dc6 101.Kb3 Kd3 102.Kb4 Db6+ 103.Ka3 Kc3 104.Ka2) -M17/31 8}
Rd2 {(88. ... Td2 89.Kf1 Kf3 90.Sg1+ Ke4 91.Se2 Td7 92.Sg1 Td1+ 93.Kg2)
+24.45/6 6} 89. Kf1 {(89.Kf1 Kf3 90.Sg1+ Ke4 91.Se2 Tb2 92.Sg1 Tf2+ 93.Ke1
Th2 94.Kd1 Kd3 95.Sf3 e2+ 96.Ke1 Th1+ 97.Kf2 Tf1+ 98.Kg3 Ke3 99.Se1 Txe1
100.Kg4 Tg1+ 101.Kf5 e1D 102.Ke6 Dh4 103.Kd7 Dh7+ 104.Ke6 Tg6+ 105.Kd5 Db7+
106.Kc5 Tc6+ 107.Kd5) -M19/30 4} Kf3 {(89. ... Kf3 90.Sg1+ Ke4 91.Se2 Td7
92.Sg1 Tg7 93.Se2 Kd3 94.Sc1+) +24.24/7 4} 90. Ng1+ {(90.Sg1+ Ke4 91.Se2
Tb2 92.Sg1 Tf2+ 93.Ke1 Th2 94.Kd1 Kd3 95.Sf3 e2+ 96.Ke1 Th1+ 97.Kf2 Tf1+
98.Kg2 Ke3 99.Sh2 e1D 100.Sxf1+ Kf4 101.Sg3 Dxg3+ 102.Kh1 Dg6 103.Kh2 Dc2+
104.Kg1 Db2 105.Kf1 Kf3 106.Ke1) -M19/30} Ke4 {(90. ... Ke4 91.Se2 Tc2
92.Sg1 Ta2 93.Se2 Ta8 94.Sg1) +21.61/7 7} 91. Ne2 {(91.Se2 Tb2 92.Sg1 Tf2+
93.Ke1 Th2 94.Kd1 Kd3 95.Sf3 e2+ 96.Ke1 Th1+ 97.Kf2 Tf1+ 98.Kg2 Ke3 99.Sh2
e1D 100.Sxf1+ Kf4 101.Sh2 De2+ 102.Kg1 Kg3 103.Sf1+ Kh3 104.Se3 Df3
105.Sd5) -M15/31 1} Kd3 {(91. ... Kd3 92.Sf4+ Ke4 93.Se2 Tc2 94.Ke1 Kd3
95.Sf4+) +22.91/6 7} 92. Nf4+ {(92.Sf4+ Kd4 93.Ke1 Tb2 94.Kd1 Ke4 95.Se2
Td2+ 96.Ke1 Tc2 97.Kf1 Tb2 98.Sg1 Kd3 99.Sh3 Tb1+ 100.Kg2 e2 101.Sf4+ Kd2
102.Kh3 e1D 103.Sh5 Dh1+ 104.Kg4 Tg1+ 105.Sg3 Dh2 106.Kg5 Txg3+ 107.Kf4
Dh4+ 108.Ke5 Dh5+ 109.Kd6 Tg6+ 110.Kd7 Dh7+ 111.Kc8) -M20/28 10} Ke4 {(92.
... Ke4 93.Se2 Tc2 94.Ke1 Tc4 95.Kd1 Tc7 96.Sc1 Kf3) +22.50/7 4} 93. Ne2
{(93.Se2) -0.01/42 4} Rb2 {(93. ... Tb2 94.Sg1 Kd3 95.Sf3 Tf2+ 96.Kg1 Txf3
97.Kg2 Tf8 98.Kh2) +21.77/6 7} 94. Nc1 {(94.Sc1 Kf3 95.Sd3 e2+ 96.Ke1 Tb1+
97.Kd2 Td1+ 98.Kc2 Txd3 99.Kxd3 e1D 100.Kc4 De6+ 101.Kb4 Ke3 102.Kc3 Dg4
103.Kb2 Kd3 104.Kb3 Dd4 105.Ka2 Kc3 106.Kb1 Df2 107.Kc1) -0.01/42 1} Kf3
{(94. ... Kf3 95.Sd3 e2+ 96.Kg1 Tb1+ 97.Se1+ Kg3 98.Kh1 Txe1+) +23.92/6 5}
95. Nd3 {(95.Sd3 e2+ 96.Ke1 Tb1+ 97.Kd2 Td1+ 98.Kc2 Txd3 99.Kxd3 e1D
100.Kc4 Da5 101.Kb3 Db5+ 102.Kc2 Ke3 103.Kc3 Da4 104.Kb2 Kd3 105.Kb1 Kc3
106.Kc1) -M12/29 5} Rd2 {(95. ... Td2 96.Se1+ Ke4 97.Sg2 Tf2+ 98.Kg1 Tf8
99.Sxe3 Kxe3 100.Kg2) +25.58/6 6} 96. Ne5+ {(96.Se5+ Ke4 97.Sg6 Td1+ 98.Ke2
Th1 99.Se5 Th2+ 100.Ke1 Kxe5 101.Kd1 Th1+ 102.Ke2 Kf4 103.Kd3 Td1+ 104.Kc3
e2 105.Kc4 Tc1+ 106.Kb4 e1D+ 107.Kb5 Dc3 108.Kb6 Db2+ 109.Ka6) -M14/28 11}
Ke4 {(96. ... Ke4 97.Sc4 Tc2 98.Sa5 Kf3 99.Sb3 Tb2 100.Sd4+ Ke4 101.Se2)
+23.98/7 4} 97. Ng6 {(97.Sg6 Td1+ 98.Ke2 Th1 99.Se7 Th2+ 100.Ke1 Kd3
101.Kf1 e2+ 102.Kg1 Th6 103.Kf2 Tf6+ 104.Kg2 e1D 105.Sf5 Tg6+ 106.Kh2 Dg1+
107.Kh3) -M11/26 4} Ra2 {(97. ... Ta2 98.Sh4 Kd3 99.Sg2 Ta1+ 100.Se1+ Kd2
101.Kg2 Txe1) +24.48/6 7} 98. Ke1 {(98.Ke1 Ta1+ 99.Ke2 Th1 100.Se7 Th2+
101.Ke1 Kd3 102.Kf1 e2+ 103.Kg1 Th6 104.Kf2 Tf6+ 105.Kg2 e1D 106.Sf5 Tg6+
107.Kh2 Dg1+ 108.Kh3) -M11/26 10} Ra6 {(98. ... Ta6 99.Se5 Kxe5 100.Ke2 Ke4
101.Kd1 Kd3 102.Kc1) +26.74/5 5} 99. Nh4 {(99.Sh4 Kd3 100.Kf1 e2+ 101.Kg2
e1D 102.Kh3 Th6 103.Kg4 Dxh4+ 104.Kf3 De4+ 105.Kf2 Tg6 106.Kf1) -M8/29 9}
Kd3 {(99. ... Kd3 100.Kf1 Ta7 101.Sf3 e2+ 102.Kf2 Tf7 103.Ke1) +28.35/6 5}
100. Kf1 {(100.Kf1 e2+ 101.Kg2 e1D 102.Kh3 De3+ 103.Kg4 Ke4 104.Sf5 Tg6+
105.Kh4 Kxf5 106.Kh5) -M8/29} Ke4 {(100. ... Ke4 101.Sg2 Tf6+ 102.Ke1 Kd3
103.Sxe3 Kxe3 104.Kd1) +24.00/6 6} 101. Ke1 {(101.Ke1) -0.01/48 5} Kd3
{(101. ... Kd3 102.Kf1 e2+ 103.Kf2 Ta1 104.Sg2 Tf1+ 105.Kg3 Ke4) +25.76/6
5} 102. Kf1 {(102.Kf1) -0.01/48} Rf6+ {(102. ... Tf6+ 103.Sf3 Txf3+ 104.Kg2
Tf8 105.Kh1 Ke4 106.Kg2) +22.04/6 5} 103. Kg2 {(103.Kg2 e2 104.Sf3 Txf3
105.Kxf3 e1D 106.Kg4 De6+ 107.Kf4 Df6+ 108.Kg3 Ke3 109.Kg2 Dg5+ 110.Kh2 Kf2
111.Kh1) -M9/30 11} e2 {(103. ... e2 104.Sf3 Ke3 105.Se1 Tf7 106.Kh2 Kf2
107.Sd3+) +25.07/6 6} 104. Nf3 {(104.Sf3 Txf3 105.Kxf3 e1D 106.Kf4 De6
107.Kf3 De4+ 108.Kg3 Ke3 109.Kh2 Kf3 110.Kg1 Dg6+ 111.Kh1) -M8/30 3} Rxf3
{(104. ... Txf3 105.Kxf3 e1D 106.Kf4 De6 107.Kg5 Ke4 108.Kh5 Kf4 109.Kh4
Dh6+) +29.21/6 5} 105. Kxf3 {(105.Kxf3 e1D 106.Kf4 De6 107.Kf3 De3+ 108.Kg4
Ke4 109.Kh5 Kf5 110.Kh4 Dc3 111.Kh5) -M7/32 5} e1=Q {(105. ... e1D 106.Kf4
De6 107.Kg5 Ke4 108.Kh4 Kf4 109.Kh5 Dg8 110.Kh6 Kf5) +28.88/7 3} 106. Kf4
{(106.Kf4 De6 107.Kf3 De3+ 108.Kg4 Ke4 109.Kh5 Kf5 110.Kh4 Dc3 111.Kh5)
-M6/32 6} Qe6 {(106. ... De6 107.Kg5 Ke4 108.Kh4 Kf4 109.Kh5 Dg8 110.Kh6
Kf5 111.Kh5) +30.36/6 9} 107. Kf3 {(107.Kf3 De4+ 108.Kg3 Ke3 109.Kh2 Kf2
110.Kh3 Da4 111.Kh2) -M6/32} Qg6 {(107. ... Dg6 108.Kf4 Kd4 109.Kf3 Dg5
110.Kf2 Ke4 111.Ke2) +31.07/5 6} 108. Kf4 {(108.Kf4 Dh5 109.Kg3 Ke3 110.Kg2
Dg4+ 111.Kh1 Kf2 112.Kh2) -M5/90 11} Qf6+ {(108. ... Df6+ 109.Kg4 Ke4
110.Kh5 Dg7 111.Kh4 Kf4 112.Kh3 Dg3+) +29.83/7 5} 109. Kg4 {(109.Kg4 Ke3
110.Kh5 Dg7 111.Kh4 Kf4 112.Kh5) -M4/101 10} Ke4 {(109. ... Ke4 110.Kh5 Dg7
111.Kh4 Kf4 112.Kh3 Dg3+) +31.77/6 4} 110. Kg3 {(110.Kg3 Ke3 111.Kg2 Dg7+
112.Kh2 Kf3 113.Kh1) -M4/127 1} Qg7+ {(110. ... Dg7+ 111.Kf2 Kf4 112.Ke2
Dd7 113.Kf2 Dd2+ 114.Kf1) +37.72/6 7} 111. Kf2 {(111.Kf2 Dg4 112.Ke1 Ke3
113.Kf1 Dg6 114.Ke1) -M4/127 1} Qb2+ {(111. ... Db2+ 112.Kg3 Dg7+ 113.Kf2
Dg4 114.Ke1 Ke3 115.Kf1) +38.06/6 5} 112. Kg3 {(112.Kg3 Da2 113.Kg4 Dg2+
114.Kh5 Kf5 115.Kh6) -M4/127 2} Qe2 {(112. ... De2 113.Kh3 Kf4 114.Kh4
Dg4+) +34.93/6 6} 113. Kh4 {(113.Kh4 Kf4 114.Kh3 Da2 115.Kh4) -M3/127 2}
Kf4 {(113. ... Kf4 114.Kh3 Db2 115.Kh4 Dh8+) +41.22/6 5} 114. Kh3 {(114.Kh3
Da2 115.Kh4) -M3/127} Qc2 {(114. ... Dc2 115.Kh4 Dh7+) +56.35/6 6} 115. Kh4
{(115.Kh4) -M1/1} Qh7# {(115. ... Dh7+) +128.00/2 4} 0-1
____________________________________________________________________________________________

This, in my opinion, is the critical endgame position above where 33...Rd8! -+
would result to a trapped K of white while K of black is free to roam.
[d]5rk1/5pb1/4p2p/pR2n3/6pN/1P2P1P1/1Pr2PBP/1R4K1 b - - 1 33

Looks like a good test position where 33...Rd8! forcefully wins.
Game taken from the posted tourn of Andrew Grant.
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.

carldaman
Posts: 1717
Joined: Sat Jun 02, 2012 12:13 am

Re: Beautiful game, highlights strengths of NN+MCTS

Post by carldaman » Sat Sep 15, 2018 8:16 pm

MikeGL wrote:
Sat Sep 15, 2018 2:25 pm
Another beautiful game.
Here, a strong SF derivative Andscacs outplayed in endgame because of an immobilised Kf1.
NN+MCTS giving up material in exchange for its K mobility.
Looks like SF Dev version is having a difficulty finding the excellent continuation 33...Rd8 on the below diagram.

_________________

This, in my opinion, is the critical endgame position above where 33...Rd8! -+
would result to a trapped K of white while K of black is free to roam.
[d]5rk1/5pb1/4p2p/pR2n3/6pN/1P2P1P1/1Pr2PBP/1R4K1 b - - 1 33

Looks like a good test position where 33...Rd8! forcefully wins.
Game taken from the posted tourn of Andrew Grant.
Hi Mike,

Do you have any data to back up the potentially contentious claim about Andscacs being a "SF derivative"?
Just curious,
+thanks for the nice games.
CL

tpoppins
Posts: 919
Joined: Tue Nov 24, 2015 8:11 pm
Location: upstate

Re: Beautiful game, highlights strengths of NN+MCTS

Post by tpoppins » Sat Sep 15, 2018 10:19 pm

It's not contentious, it's plain nonsense. A certain troll has been banned for claiming just that, although in his case that was the last straw.

MikeGL is not a troll, of course, he apparently just got mixed up.
Tirsa Poppins
CCRL

zullil
Posts: 5667
Joined: Mon Jan 08, 2007 11:31 pm
Location: PA USA
Full name: Louis Zulli

Re: Beautiful game, highlights strengths of NN+MCTS

Post by zullil » Sat Sep 15, 2018 10:26 pm

MikeGL wrote:
Sat Sep 15, 2018 2:25 pm
Another beautiful game.
Here, a strong SF derivative Andscacs outplayed in endgame because of an immobilised Kf1.
NN+MCTS giving up material in exchange for its K mobility.
Looks like SF Dev version is having a difficulty finding the excellent continuation 33...Rd8 on the below diagram.



____________________________________________________________________________________________

This, in my opinion, is the critical endgame position above where 33...Rd8! -+
would result to a trapped K of white while K of black is free to roam.
[d]5rk1/5pb1/4p2p/pR2n3/6pN/1P2P1P1/1Pr2PBP/1R4K1 b - - 1 33

Looks like a good test position where 33...Rd8! forcefully wins.
Game taken from the posted tourn of Andrew Grant.
Not convinced yet that 33...Rd8 wins by force. Consider 39. b4 instead of 39. Ng2, for example.

MikeGL
Posts: 900
Joined: Thu Sep 01, 2011 12:49 pm

Re: Beautiful game, highlights strengths of NN+MCTS

Post by MikeGL » Sun Sep 16, 2018 12:29 am

My apologies for that controversial issue and thanks for the warning. Didn't know about that ban thing and the politics behind it, as I seldom login considering my hectic schedule in past few months.
Maybe got misinformed from some random engine download sites giving wrong background info on engine, or probably after reading some controversial threads here, where I didn't dig deeper into the story.
Again, sorry for bringing up that wrong claim about being a derivative.
tpoppins wrote:
Sat Sep 15, 2018 10:19 pm
It's not contentious, it's plain nonsense. A certain troll has been banned for claiming just that, although in his case that was the last straw.

MikeGL is not a troll, of course, he apparently just got mixed up.
Back to some beautiful games.
Beautiful win against SF9.

Position arised from the featured game below,
Lc0 did a vacating sacrifice first by 41.d6! (SF9 prefers 41.Qxc4) then Lc0 again gave another with
42.d5 giving up both pawns to activate Bf2.

[d]5rk1/pb1q4/1r5p/1n1P2p1/1PpP1p2/5P1P/2Q2BP1/R3R1NK w - - 2 41



[Event "Lc0server11261Stockfish9_5mas3HT6CPU1024"]
[Site "J-PC"]
[Date "2018.09.04"]
[Round "7"]
[White "Lc01711261"]
[Black "Stockfish_9_x64_bmi2"]
[Result "1-0"]
[TimeControl "600+6"]
[Termination "normal"]
[PlyCount "160"]
[WhiteType "human"]
[BlackType "human"]

1. d4 Nf6 2. c4 e6 3. Nc3 Bb4 4. Qc2 d5 5. a3 Bxc3+ 6. Qxc3 O-O 7. Nf3 Nbd7
8. Bg5 b6 9. cxd5 exd5 10. e3 c5 11. Bd3 h6 12. Bh4 g5 13. Bg3 Ne4 14. Qc2
Qe7 15. Rd1 Bb7 16. O-O Rac8 17. Qe2 c4 18. Bc2 Rfe8 19. Rde1 Ba6 20. h3
Kg7 21. Bh2 f6 22. Ba4 Red8 23. b4 Nf8 24. Rc1 Ng6 25. Kh1 Rf8 26. Ng1 f5
27. f3 Nd6 28. Rfe1 Rf6 29. Qd2 b5 30. Bc2 Re8 31. a4 Kg8 32. Ra1 bxa4 33.
Bxa4 Nb5 34. Bg3 Rb6 35. Bc2 Rf8 36. e4 f4 37. exd5 Qd7 38. Bf2 Bb7 39.
Bxg6 Rxg6 40. Qc2 Rb6 41. d6 Rxd6 42. d5 Bxd5 43. Bc5 Bf7 44. Bxd6 Qxd6 45.
Red1 Qf6 46. Ra5 Rb8 47. Qa4 Nc3 48. Qa1 Rb6 49. Rc1 Nd5 50. Rxc4 Qxa1 51.
Rxa1 a6 52. h4 Nxb4 53. Rc7 Nd3 54. Nh3 gxh4 55. Ra4 Rd6 56. Kh2 Bb3 57.
Re4 Be6 58. Nxf4 Nxf4 59. Rxf4 h3 60. gxh3 Bd7 61. Ra7 h5 62. Kg3 Rg6+ 63.
Kh4 Rd6 64. Kxh5 a5 65. Rxa5 Kh7 66. Re5 Rh6+ 67. Kg5 Rg6+ 68. Kh4 Rd6 69.
Re7+ Kg6 70. Ref7 Be8 71. Rf8 Bd7 72. Kg3 Rc6 73. h4 Bc8 74. Rd4 Kg7 75.
Rfd8 Rg6+ 76. Kf4 Rf6+ 77. Ke3 Re6+ 78. Kf2 Rc6 79. R4d6 Rc7 80. h5 Bf5 1-0

Game credit: Javier Ros from the thread, http://talkchess.com/forum3/viewtopic.p ... 6&start=40
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.

frankp
Posts: 216
Joined: Sun Mar 12, 2006 2:11 pm

Re: Beautiful game, highlights strengths of NN+MCTS

Post by frankp » Tue Sep 18, 2018 8:23 am

Just on a technical point, does Lc0 actually do MCTS?
(The 4C version of Komodo does I believe. Not sure about Houdini.).

jorose
Posts: 267
Joined: Thu Jan 22, 2015 2:21 pm
Location: Zurich, Switzerland
Full name: Jonathan Rosenthal

Re: Beautiful game, highlights strengths of NN+MCTS

Post by jorose » Tue Sep 18, 2018 9:26 am

MikeGL wrote:
Sat Sep 15, 2018 12:20 pm
[...] 44. Ke1 {(45.Ke1 Td7 46.gxh6 Sxh6 47.Thg2 Kg8 48.Sh2 Kh7
49.Lxh6 Dxh6 50.Sg4) +12.91/6 26 Schwarz überschreitet die Zeit} 1-0 [...]
Multiple times in the last few moves it says black lost on time. I don't have much experience running Houdini, but I highly doubt that should ever happen if you didn't do something horribly wrong in your setup, considering this is apparently TC 600+6... I'm aware you are not the primary source of these games, but whoever is should probably be made aware of the issue.
frankp wrote:
Tue Sep 18, 2018 8:23 am
Just on a technical point, does Lc0 actually do MCTS?
(The 4C version of Komodo does I believe. Not sure about Houdini.).
LC0 does UCTS. How this works is explained well in the paper referenced at the bottom of this post. I have heard people say UCTS is a variant of MCTS, but I don't feel comfortable saying that as Monte Carlo Tree Search implies randomization in the search whereas Deep Minds search algorithm is completely deterministic. During training they turn the frequency of which moves were searched into a probability distribution, but afaik during play, they just select the move which was tried the most during search.
-Jonathan

frankp
Posts: 216
Joined: Sun Mar 12, 2006 2:11 pm

Re: Beautiful game, highlights strengths of NN+MCTS

Post by frankp » Tue Sep 18, 2018 10:36 am

Does not change the beauty of the games, of course, which is not in doubt.
But I asked the technical point about MCTS based on the paragraph below form the leela FAQ - which I guess is overseen by the leela devs.
I guess the point is that it is not 'classic' MCTS as used by komodo (I believe).


"This is the same search specified by the AGZ paper, PUCT (Predictor + Upper Confidence Bound tree search). Many people call this MCTS (Monte-Carlo Tree Search), because it is very similar to the search algorithm the Go programs started using in 2006. But the PUCT used in AGZ and Lc0 does not do game rollouts (sampling playouts to a terminal game state). Other search algorithms are under consideration on the Github of Leela Go, but there isn't yet any real consensus that something else is demonstrably better than PUCT. This is something of an active research topic in the overlap of the AI+Game Theory fields."

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