A balanced approach to imbalances

[petero2]

Note that I would not claim that with 4 extra Pawns for the Queens it would be won; especially if some of these Pawns are protected passers that can march to near promotion before the Knights even have a chance to deploy. That obviously is an even far bigger advantage than having 8 vs 8 Pawns all spread out. Which also makes it ore difficult for the Knights than with just 4 centralized Pawns each, but not enough to turn the game in favor of the Queens.

The claim is that 7 Knights against 3 Queens with symmetric Pawn chains is a win for the Knights.

Here is a game where TQueeny won as white against QueeNy (QN). The time control was 40 moves in 7 minutes, repeating, no pondering.
[pgn]
[Event "Arena tournament"]
[Site "ALIEN"]
[Date "2013.10.27"]
[Round "4"]
[White "Tqueeny"]
[Black "QN"]
[Result "1-0"]
[BlackElo "2000"]
[Time "08:03:47"]
[WhiteElo "2000"]
[TimeControl "40/420:40/420:40/420"]
[SetUp "1"]
[FEN "nnnnknnn/pppppppp/8/8/8/8/PPPPPPPP/Q2QK2Q w - - 0 1"]
[Termination "normal"]
[PlyCount "75"]
[WhiteType "program"]
[BlackType "program"]

1. e3 {(e2-e3 f7-f6 d2-d4 Nh8-f7 Qh1-f1 Ng8-h6 a2-a3 Na8-b6 a3-a4 c7-c6
a4-a5 Nb6-d5 e3-e4 Nd5-c7 Qd1-h5 Nf8-g6) -1.86/16 9} d5 {(d7d5 g2g4 a8b6
b2b4 f7f6 a2a4 c7c6 a4a5 b6c4 d2d3 c4e5 d3d4 e5c4) +3.60/14 6} 2. b3
{(b2-b3 f7-f6 Qd1-h5+ Nh8-f7 Qh5xd5 Na8-b6 Qd5-h5 g7-g6 Qh5-e2 f6-f5 d2-d4
Ng8-f6 c2-c4 Nb6-d7 Qa1-c3 c7-c5 Qc3-d3 c5xd4 e3xd4 Nf8-e6 c4-c5) -1.49/19
9} Nf6 {(g8f6 f2f4 h7h5 c2c4 d5c4 b3c4 b8c6 c4c5 h8g6 d2d4 f6g4 a1c1 d8e6)
+3.44/15 10} 3. g4 {(g2-g4 h7-h6 h2-h4 Nh8-g6 f2-f4 e7-e5 f4xe5 Nf6-d7
Qh1xd5 Ng6xh4 c2-c4 Nb8-c6 d2-d4 Nc8-e7 Qd5-e4 a7-a6 c4-c5 Nf8-e6 Qd1-d2
Nh4-g6) -1.40/20 9} Nab6 {(a8b6 g4g5 f6e4 f2f4 f7f6 c2c4 c7c6 d2d3 e4c5
b3b4 c5d7 c4c5) +3.15/14 6} 4. f4 {(f2-f4 e7-e6 h2-h4 h7-h5 g4xh5 Nb8-d7
Qh1-g2 g7-g6 Qg2-g5 Nf8-h7 Qg5-h6 g6xh5 Qh6xh7) -1.45/19 9} Nd6 {(c8d6 a2a4
a7a5 d2d3 b8c6 g4g5 f6d7 c2c4 e7e6 a1g7 h8g6 g7c3) +3.27/15 11} 5. f5
{(f4-f5 Ke8-d7 c2-c4 d5xc4 e3-e4 Nd6-e8 b3xc4 Kd7-c8 c4-c5 Nb6-d7 e4-e5
Nf6-g8) -1.48/18 15} Kd7 {(e8d7 d2d3 d8c6 g4g5 f6e8 c2c4 d5c4 d3c4 b8a6
a1c1 a6b4 a2a3 b4a2 c1d2) +3.17/15 5} 6. c4 {(c2-c4 d5xc4 e3-e4 Nd6-e8
e4-e5 Nf6-g8 b3xc4 Kd7-c8 d2-d4 e7-e6 Qa1-c3 Ng8-e7 f5xe6 f7xe6 d4-d5)
-1.51/19 8} dxc4 {(d5c4 e3e4 d6e4 g4g5 e4g5 h1g1 h7h6 h2h4 g5e6 b3c4 c7c5
f5e6 f8e6 d2d3 b8c6) +3.93/15 7} 7. e4 {(e3-e4 Nd6-e8 g4-g5 Nf6-g8 Qd1-g4
e7-e6 Qa1-d4+ Kd7-c8) -1.56/19 8} Ndxe4 {(d6e4 b3c4 c7c5 g4g5 e4g5 h1g2
h7h6) +3.80/15 8} 8. bxc4 {(b3xc4 Nb8-a6 g4-g5 Ne4xg5 Qh1-g2 Ng5-e6 f5xe6+
Nf8xe6 d2-d4 Nh8-g6 Qa1-c3 Ne6-f4 Qg2-c2 e7-e6 a2-a4 Kd7-e8 Qd1-f3 Nd8-c6
a4-a5 Nb6-d7) +2.19/20 9} Na6 {(b8a6 g4g5 e4g5 h1g1 h7h6 h2h4 g5e6 d2d4
g7g6 f5e6 f8e6 c4c5 b6c4) +3.29/14 8} 9. g5 {(g4-g5 Ne4xg5 Qh1-g1 Ng5-e6
f5xe6+ Nf8xe6 d2-d4 Nb6xc4 Qd1-a4+) +2.08/20 9} Nxg5 {(e4g5 h1g2 f8e6 d2d4
c7c6 a1c1 g7g6 f5e6 d8e6 g2b2 d7c7 b2a3 c6c5) +3.49/15 12} 10. Qg1 {(Qh1-g1
Ng5-e6 f5xe6+ Nf8xe6 d2-d4 Nh8-g6 d4-d5 Ne6-f4 Qa1-c3 Kd7-c8 a2-a4 e7-e6
a4-a5 Nb6-d7 Qg1xa7 e6xd5 c4xd5 Nf4xd5 Qa7-a8+ Na6-b8 Qc3-g3 Nd5-e7)
+2.08/19 10} h6 {(h7h6 h2h4 f8h7 h4g5 h7g5 d2d3 d8c6 c4c5 b6d5 a1b2 a6b4
d3d4) +3.88/14 20} 11. h4 {(h2-h4 Ng5-e6 f5xe6+ Nf8xe6 d2-d4 h6-h5 d4-d5
Ne6-c5 Qg1xg7 Nh8-g6 Qa1-b1 Nc5-e4 Qd1-d4 Ng6xh4 Qd4-e3 Nh4-f5 Qe3-h3)
+2.57/19 9} Nf8h7 {(f8h7 h4g5 h7g5 a1b2 e7e6 b2a3 e6f5 a3f8 h8g6 f8g7 f6g4
g1d4 d7e7 c4c5) +4.17/14 10} 12. Qad4+ {(Qa1-d4+ Kd7-c8 h4xg5 Nh7xg5 Qd4-e3
e7-e6 Qe3xg5 h6xg5 Qg1xg5 Nf6-e8 Qg5-h4 Ne8-d6 Qh4xh8 Nd6xf5 Qd1-e2 Na6-c5
Ke1-d1 Nb6-d7 d2-d3) +3.16/18 9} Kc8 {(d7c8 h4g5 h7g5 d4h4 e7e6 g1g5 h6g5
h4h8 e6f5 h8g7 f6e4 d2d3 d8e6 g7f7) +4.37/15 9} 13. hxg5 {(h4xg5 Nh7xg5
Qg1-h2 Ng5-h7 Qd4-g1 g7-g6 Qh2xh6 g6xf5 Qg1-g7 Nh8-g6 d2-d3 Nb6-d7 Qg7xh7
Nf6xh7 Qh6xh7 e7-e5 d3-d4 e5-e4) +3.22/20 10} Nxg5 {(h7g5 d4h4 a6b4 d1e2
e7e5 c4c5 b6d5 g1g5 h6g5 h4h8 b4a2 e2e5) +4.06/15 10} 14. Qh2 {(Qg1-h2
Ng5-h7 Qd4-g1 g7-g6 Qh2-h3 e7-e6 f5xe6 Nd8xe6 d2-d4 c7-c6 Qd1-c2 Nb6-d7
Qh3xh6 c6-c5 d4xc5 Na6xc5 Qh6-h2 Nd7-b6 Qc2-e2 Nc5-a6) +3.29/19 9} Nbd7
{(b6d7 d4a7 e7e6 d2d4 e6f5 a7a8 a6b8 a8a5 d8e6 a5f5 b8c6 d4d5) +4.36/14 13}
15. Qe3 {(Qd4-e3 Ng5-e4 Qh2-g2 Ne4-g5 Qg2-h1 e7-e6 Qe3xg5 h6xg5 f5xe6
Nh8-g6 e6xd7+ Nf6xd7 Qh1-g1 Na6-b4 Qg1xg5) +3.68/20 9} e6 {(e7e6 e3g5 h6g5
h2h8 e6f5 h8g7 g5g4 g7g5 d8c6 g5f5 c6d4 f5f2 c7c5 d1a4 c8c7) +4.87/16 6}
16. Qxg5 {(Qe3xg5 h6xg5 f5xe6 Nh8-g6 e6xd7+ Nf6xd7 Qh2-h7 c7-c5 Qh7xg7
Na6-c7 Qg7-g8 Nd7-f6 Qg8-g7 Nf6-d7) +3.58/22 9} hxg5 {(h6g5 f5e6 h8g6 e6d7
c8d7 h2g1 g5g4 g1a7 g6e7 d1b3 e7c6 a7e3 d7c8 d2d4 a6b4 c4c5) +4.81/17 6}
17. fxe6 {(f5xe6 Nh8-g6 e6xd7+ Nf6xd7 Qh2-h7 c7-c5 Qh7xg7 Na6-c7 Qd1-e2
Nc7-e6 Qg7-g8 Ng6-e5 Qe2-e4 g5-g4 Qg8-h8 Ne6-d4 Ke1-d1 g4-g3 Qe4-d5)
+3.43/22 9} Ng6 {(h8g6 e6d7 c8d7 h2g1 g5g4 g1a7 c7c6 d2d4 a6c7 e1e2 g6f4
e2e3 f4g2 e3f2 g2h4 f2e3 h4f5 e3f4 g7g6 c4c5) +4.87/17 10} 18. exd7+
{(e6xd7+ Nf6xd7 Qd1-g4 Nd8-e6 d2-d4 Nd7-f6 Qg4-f5 Ng6-h4 Qf5-h3 Kc8-b8
Qh2-b2 Ne6-f4 Qh3-a3 Nh4-g6 Qb2-b5 g5-g4) +3.65/21 9} Kxd7 {(c8d7 d1b1 g5g4
d2d4 d7c8 b1f5 c8b8 h2h6 g7h6 f5f6 d8c6 f6f7 g6e7 d4d5 a6b4 d5c6 e7c6)
+4.84/17 16} 19. Qg1 {(Qh2-g1 Kd7-c8 Qg1xa7 Ng6-e5 Qd1-e2 Ne5-c6 Qa7-a8+
Na6-b8 Ke1-d1 Nd8-e6 d2-d3 Nf6-d7 Qe2-e4 Nd7-b6 Qa8-a3 Nb8-d7 Qe4-f5 Nc6-e5
Qa3-e7 g5-g4 Qe7-e8+) +4.11/19 9} g4 {(g5g4 g1a7 c7c6 a7f2 a6c7 d1b1 c7e6
d2d4 e6f4 c4c5 f4d5 f2f5 d7e7 f5g5 d5c3) +4.85/16 10} 20. Qxa7 {(Qg1xa7
Kd7-c8 d2-d4 Na6-b8 Qd1-d3 Ng6-h4 d4-d5 g7-g6 Ke1-d1 Nh4-f5 Qd3-e2 g4-g3
a2-a4 Nb8-a6 a4-a5 Nf6-d7 Qa7-a8+ Na6-b8 Kd1-c1 Nd7-c5 Qe2-f3) +4.17/21 9}
Kc8 {(d7c8 d1a4 a6b8 d2d4 g6f4 d4d5 g4g3 a4c2 g7g6 c2d2 f6h5) +4.73/15 10}
21. d4 {(d2-d4 Ng6-h4 Qd1-e2 Nh4-f3+ Ke1-d1 g7-g6 d4-d5 Nf6-d7 Qe2-e8)
+4.47/21 9} Nh4 {(g6h4 e1e2 f6e4 a7a8 c8d7 d1b3 f7f5 a8b7 d8b7 b3b7 h4f3
e2e3 a6c5 d4c5 e4c5) +4.66/15 9} 22. Qe2 {(Qd1-e2 Nd8-c6 Qa7-a8+ Na6-b8
d4-d5 Nc6-e5 c4-c5 Nf6xd5 Qe2-b5 Ne5-c6 Qb5xb7+ Kc8-d7 Qa8xb8 Nh4-f3+
Ke1-f2 Nc6xb8 Qb7xd5+ Kd7-e8 Qd5-e4+) +4.77/21 9} Nf3+ {(h4f3 e1f2 d8c6
a7a8 a6b8 d4d5 c6e5 c4c5 c7c6 d5d6 f6d7 a8a7 f7f5 f2e3 g7g6) +4.40/15 9}
23. Kd1 {(Ke1-d1 Nf6-d7 Qe2-e8 g4-g3 Qe8-e2 Nf3-h4 Qe2-g4 g3-g2 Qa7-a8+
Na6-b8 Qa8-a3 g7-g6 d4-d5 f7-f5 Qg4-g5 Nd7-e5 Qa3-e7 Ne5-f7) +4.78/22 9}
Nc6 {(d8c6 a7a8 a6b8 a8a3 c6d8 a3f8 b8d7 f8g7 f3d4 e2e7 d4f5 e7f6 d7f6
g7f6) +3.89/16 8} 24. Qa8+ {(Qa7-a8+ Na6-b8 d4-d5 Nc6-e5 Qe2-b2 b7-b6 c4-c5
Nf6-d7 d5-d6 Kc8-d8 Qb2-c3 b6xc5 Qc3-a5) +7.26/21 9} Nab8 {(a6b8 e2b2 f3d4
a8b7 c8d7 b7b8 c6b8 b2d4 d7e7 d4e5 e7d8 e5g5 b8c6 g5g7 d8e7 a2a3 c6d4 c4c5)
+2.20/18 6} 25. d5 {(d4-d5 Nc6-d8 Qe2-e7 Nf3-d4 Qa8xb8+ Kc8xb8 Qe7xd8+
Kb8-a7 Qd8xc7 Nf6-e4 Qc7-a5+ Ka7-b8 d5-d6 Ne4xd6 Qa5-d8+ Kb8-a7 Qd8xd6
Nd4-f3 Qd6-a3+ Ka7-b8 Qa3-f8+) +8.92/24 9} Nce5 {(c6e5 e2e3 b7b6 c4c5 b6c5
e3c5 e5d7 c5a7 c8d8 a8b7 f6e8 b7b8 d7b8 a7b8 d8d7 b8b5 d7e7 b5b4 e8d6 b4g4)
+2.17/17 5} 26. Qb2 {(Qe2-b2 b7-b6 c4-c5 Ne5-c4 Qb2-b5 Nf3-e5 Qb5-a6+
Kc8-d7 Qa8xb8 Nf6xd5 Kd1-c1 Kd7-c6 c5xb6 Nc4xb6 Qb8-e8+ Kc6-d6 Kc1-b1 g7-g5
Qa6-a3+ c7-c5 Qe8-f8+ Kd6-e6 Qa3xc5 f7-f6 Qf8-e8+ Ke6-f5 Qc5-c2+ Kf5-f4
Qc2-b3) +10.73/22 13} b6 {(b7b6 c4c5 e5c4 b2b5 c4e3 d1c1 e3d5 b5a6 c8d7
a8b8 b6c5 b8b5 d7d8 b5c5 f3e5 c5f8 d8d7 a6c8 d7c6 f8g7) +0.57/17 15} 27. c5
{(c4-c5 Ne5-c4 Qb2-b5 Nf3-e5 Qb5-a6+ Kc8-d7 Qa8xb8 Nf6xd5 Qa6-c8+ Kd7-c6
Qc8-f8 Ne5-d7 Qb8-a8+ Kc6-b5 a2-a4+ Kb5-b4 c5xb6+ Nd7xf8 Qa8xf8+ Kb4xa4
b6-b7 Nc4-e3+ Kd1-c1) +11.18/21 9} Nd3 {(e5d3 b2b5 d3f2 d1c1 f6d7 d5d6 c8d8
c5c6 f3d4 b5g5 f7f6 d6c7 d8c7 g5f4 d7e5 f4d4) -0.14/16 7} 28. Qb5 {(Qb2-b5
Nd3xc5 d5-d6 Nf3-e5) +17.20/20 9} Nf2+ {(d3f2 d1c1 f3e5 c5b6 f6d7 b5a6 c8d8
b6c7 d8c7 a6b7 c7d8 a8a5 d8e8 b7c8 e8e7 c8d8 e7d6 d8c7 d6e7 a5c5 e7f6 c5f2
e5f3 a2a3) -2.22/15 7} 29. Kc1 {(Kd1-c1 Nf6-d7 c5xb6 Nf3-d4 Qb5-a6+ Kc8-d8
b6xc7+ Kd8xc7 Qa8-b7+ Kc7-d8 Qa6-d6 Nf2-d3+ Kc1-b1 Nd4-c6 d5xc6) +24.67/18
10} Nd7 {(f6d7 c5b6 c7b6 d5d6 f2d3 b5d3 f3e5 d3h7 e5c6 h7g8 c6d8 g8g7 f7f5
g7d7 c8d7 a8b8) -2.87/15 18} 30. Qbc6 {(Qb5-c6 Nf2-d3+ Kc1-b1 Kc8-d8 d5-d6
Nf3-d2+ Kb1-a1 Nd2-b3+ a2xb3 c7xd6 c5xd6 f7-f6 Qa8xb8+ Nd7xb8 Qc6-c7+
Kd8-e8 Qc7-e7+) +M9/15 40} Nd3+ {(f2d3 c1b1 c8d8 d5d6 c7d6 c5d6 f3d2 b1a1
d2b3 a2b3 f7f6 a8b8 d7b8 c6c7 d8e8 c7e7) -M4/15 7} 31. Kb1 {(Kc1-b1 Kc8-d8
d5-d6 Nf3-d2+ Kb1-a1 Nd2-b3+ a2xb3 c7xd6 c5xd6 f7-f6 Qa8xb8+ Nd7xb8 Qc6-c7+
Kd8-e8 Qc7-e7+) +M8/16 7} Nd2+ {(f3d2 b1a1 c8d8 d5d6 c7d6 c5d6 d2b3 a2b3
f7f6 a8b8 d7b8 c6c7 d8e8 c7e7) -M3/18 6} 32. Ka1 {(Kb1-a1 Nd3xc5 d5-d6
Nd2-b3+ a2xb3 Nc5-e6 Qa8-b7+ Kc8-d8 Qc6xc7+ Ne6xc7 Qb7xc7+ Kd8-e8 Qc7-c8+)
+M7/14 2} N3xc5 {(d3c5 d5d6 d2b3 a2b3 c5a6 a8b7 c8d8 b7c7 a6c7 c6c7 d8e8
c7c8) -M3/18 6} 33. d6 {(d5-d6 Nd2-b3+ a2xb3 Nc5-e6 Qa8-b7+ Kc8-d8 Qc6xc7+
Ne6xc7 Qb7xc7+ Kd8-e8 Qc7-c8+) +M6/12 0} Ndb3+ {(d2b3 a2b3 c5a6 a8b7 c8d8
b7c7 a6c7 c6c7 d8e8 c7c8) -M2/28 6} 34. axb3 {(a2xb3 Nc5-e6 Qa8-b7+ Kc8-d8
Qc6xc7+ Ne6xc7 Qb7xc7+ Kd8-e8 Qc7-c8+) +M5/10 0} Na6 {(c5a6 a8b7 c8d8 b7c7
a6c7 c6c7 d8e8 c7c8) -M2/32 9} 35. Qab7+ {(Qa8-b7+ Kc8-d8 Qc6xc7+ Na6xc7
Qb7xc7+ Kd8-e8 Qc7-c8+) +M4/8 0} Kd8 {(c8d8 b7c7 a6c7 c6c7 d8e8 c7c8)
-M1/36 7} 36. Qcxc7+ {(Qc6xc7+ Na6xc7 Qb7xc7+ Kd8-e8 Qc7-c8+) +M3/6 0} Nxc7
{(a6c7 b7c7 d8e8 c7c8) -M1/72 7} 37. Qxc7+ {(Qb7xc7+ Kd8-e8 Qc7-c8+) +M2/4
0} Ke8 {(d8e8 c7c8) -M0/100 1} 38. Qc8# {(Qc7-c8+) +M1/2 0} 1-0
[/pgn]

Black managed to win when TQueeny played black though, but I am not sure how black could have proceeded if white had played delaying moves instead of 28. g5.
[pgn]
[Event "Arena tournament"]
[Site "ALIEN"]
[Date "2013.10.27"]
[Round "3"]
[White "QN"]
[Black "Tqueeny"]
[Result "0-1"]
[BlackElo "2000"]
[Time "07:43:53"]
[WhiteElo "2000"]
[TimeControl "40/420:40/420:40/420"]
[SetUp "1"]
[FEN "nnnnknnn/pppppppp/8/8/8/8/PPPPPPPP/Q2QK2Q w - - 0 1"]
[Termination "normal"]
[PlyCount "120"]
[WhiteType "program"]
[BlackType "program"]

1. g4 {(g2g4 a8b6 e2e4 b8c6 d2d4 h8g6 a1c1 e7e5 d4d5 c6d4 c2c3 d4b5)
-3.41/14 10} f6 {(f7-f6 Qa1-c1 Nb8-a6 d2-d4 Nh8-f7 Qd1-d3 Na8-b6 c2-c4
c7-c5 d4xc5 Na6xc5 Qd3-a3 d7-d6 b2-b4 Nc5-d7 Qh1-e4 Nf8-g6 Ke1-f1) +2.05/18
8} 2. d4 {(d2d4 e7e5 d4d5 g8e7 e2e4 h8f7 c2c4 c7c5 a1c1 a8b6 f2f4 c8d6)
-3.63/14 7} Nhf7 {(Nh8-f7 e2-e3 Nb8-a6 Qh1-g2 c7-c6 c2-c4 Na8-c7 b2-b3
d7-d6 f2-f4 Nc8-b6 Qa1-c1 Nd8-e6 f4-f5 Ne6-g5 c4-c5 d6xc5 d4xc5) +2.15/18
8} 3. d5 {(d4d5 a8b6 e2e4 e7e5 a2a4 g8e7 a4a5 b6c4 a1a2 b7b5 a5b6 c8b6)
-3.64/13 5} e6 {(e7-e6 d5xe6 d7xe6 b2-b3 Na8-b6 c2-c4 Nb8-a6 Qa1-c3 c7-c5
a2-a4 Nb6-d7 Ke1-f1 Nc8-d6 Kf1-g1 Ng8-e7 Qh1-g2 Nf8-g6 e2-e4) +2.60/18 9}
4. c4 {(c2c4 c7c6 e2e4 g8e7 d1b3 c6d5 e4d5 f7e5 a1d1 e6d5 c4d5 a8c7)
-3.89/14 10} Nge7 {(Ng8-e7 Qa1-c1 Nb8-a6 f2-f4 c7-c6 d5xc6 d7xc6 Qc1-c3
c6-c5 g4-g5 Na8-b6 b2-b3 Nb6-d7 e2-e3 Nc8-d6 g5xf6 Nd7xf6 Qh1-g2 Nf8-g6)
+2.63/17 11} 5. e4 {(e2e4 c7c6 a1c1 e6d5 c4d5 a8b6 c1e3 c6d5 e4d5 b6c4 e3d4
c8d6) -4.23/14 8} c6 {(c7-c6 Qa1-c1 Nb8-a6 d5xe6 Nd8xe6 a2-a3 Na8-c7 b2-b4
Nf8-g6 h2-h4 b7-b6 h4-h5 Ng6-f4 Qc1-d2 d7-d6 Qd2-c3 Nf7-e5 h5-h6) +2.93/18
9} 6. dxe6 {(d5e6 f8e6 a1c1 c6c5 f2f4 b8c6 d1f3 a8c7 f3h3 e6d4 h3h7 d8e6)
-4.32/14 8} Nfxe6 {(Nf8xe6 Qa1-c1 c6-c5 h2-h4 Nb8-c6) +3.03/19 9} 7. Qac1
{(a1c1 c6c5 f2f4 b8c6 d1f3 c8d6 f3h3 h2h3 a8c7) -4.59/13 6} c5 {(c6-c5
h2-h4 h7-h6 a2-a3 Nb8-c6 b2-b4 a7-a5 b4-b5 Nc6-d4 f2-f4 Na8-b6 a3-a4 Ne6-f8
f4-f5 d7-d6) +3.34/19 9} 8. h4 {(h2h4 h7h6 f2f4 b8c6 d1f3 a8c7 f3a3 d7d6
g4g5 f6f5 e4f5 e7f5) -4.74/14 7} h6 {(h7-h6 b2-b3 Nb8-c6 Qc1-d2 Na8-b6
f2-f4 Ne6-d4 Qd1-c1 Nd8-e6 Ke1-f1 Ne6-c7 Qd2-c3 Nc7-a6 Qh1-g2 Nc8-d6 a2-a3
g7-g6 h4-h5) +3.65/19 9} 9. f4 {(f2f4 b8c6 a2a3 a8c7 h1g2 c8d6 e1f2 b7b6
g4g5 f6f5 e4f5 e7f5) -4.96/14 8} Ndc6 {(Nd8-c6 b2-b3 Na8-b6 Ke1-f1 a7-a5
Qc1-e3 Nb8-a6 Kf1-g1 Ne6-d4 g4-g5 h6xg5 h4xg5 f6xg5 f4xg5 Nd4-e6 g5-g6
Ne7xg6 Qh1-h7 Ng6-e5 Qh7-g8+ Ke8-e7 Qd1-h5) +3.76/19 24} 10. Kf1 {(e1f1
c8d6 a2a3 a8c7 d1a4 b8a6 g4g5 f6f5 e4e5 d6e4 a4c2) -5.15/14 11} Nab6
{(Na8-b6 f4-f5 Ne6-d4 g4-g5 Nc6-e5 g5xf6 g7xf6 Qh1-g2 Nb8-c6 Qg2-g7 Nc8-d6
Qc1-f4 Nc6-b4 Qd1-h5 Nb4-d3 Qg7-h8+) +3.68/19 18} 11. h5 {(h4h5 c8d6 b2b3
e6d4 h1g2 a7a5 c1d2 b8a6 d2e3 a6b4 a2a3 b4c2) -5.31/15 10} a5 {(a7-a5
Qh1-h2 Ne6-d4 a2-a4 Nc8-d6 Qh2-g2 Nb8-a6 b2-b3 Na6-c7 Kf1-g1 Nc6-b4 Qc1-d2
Nc7-e6 Qd2-e3 Ne6-c7 Qe3-c3 Nb4-c6 Qc3-c1) +3.84/20 8} 12. b3 {(b2b3 c8d6
c1e3 e6d4 h1h2 b8a6 f4f5 a5a4 h2g3 a4b3 a2b3 a6b4) -5.30/15 11} a4 {(a5-a4
Qd1-d2 Nb8-a6 Qh1-f3 Ne6-d4 Qf3-e3 Nc8-d6 Qc1-c3 Ke8-d8 Kf1-g1 Kd8-c7
Qd2-f2 Na6-b4 Qf2-g2 Nb4-c2 Qe3-c1 a4xb3 a2xb3 Nc2-b4 Qc1-e3 Nc6-a5 e4-e5)
+3.92/19 8} 13. Qe3 {(c1e3 e6d4 e3d2 b8a6 d2c3 c8d6 c3d2 a6b4 d2h2 a4b3
a2b3 c6a5 e4e5 f6e5 f4e5) -5.42/14 7} Na6 {(Nb8-a6 Qh1-g2 Na6-b4 Qd1-e1
Ne6-d4 Qe3-c3 Nc8-d6 Kf1-g1 Ke8-d8 Qe1-g3 a4-a3 Kg1-h1 Kd8-e8 Kh1-g1 Ke8-f8
Qg3-f2 Kf8-g8 Kg1-h1 Kg8-h7) +3.92/19 8} 14. Qde1 {(d1e1 e6d4 e3c3 c8d6
c3b2 a6b4 e1c3 e8f8 b2a3 a4b3 a2b3) -5.45/14 6} Nab4 {(Na6-b4 Qh1-g2 Ne6-d4
Qe3-c3 Nc8-d6 Kf1-g1 a4xb3 a2xb3 Nb6-a8 Qe1-g3 Na8-c7 Kg1-h1 b7-b6 Kh1-g1
Ke8-f8 Kg1-f2 Kf8-g8 Kf2-f1 Kg8-h7 f4-f5) +3.87/20 8} 15. Q1d2 {(e1d2 e6d4
e3c3 d7d6 h1g2 b6d7 c3b2 c8b6 d2e3 a4b3 a2b3 b4c2) -5.53/14 5} Ned4
{(Ne6-d4 Qh1-g2 a4xb3 a2xb3 Nb6-a8 Qg2-g3 Ke8-d8 e4-e5 f6xe5 Qd2-f2 Na8-c7
f4xe5 Nc6xe5 Qe3xe5) +3.83/19 8} 16. Qec3 {(e3c3 d7d6 h1h3 b6d7 c3a1 c8b6
a1c3 e8f8 c3b2 a4b3 a2b3 b4c2) -5.57/15 6} Ncd6 {(Nc8-d6 Qh1-g2 a4xb3 a2xb3
Nb6-a8 Kf1-g1 Na8-c7 Kg1-h1 Ke8-d8 Qd2-f2 b7-b6 Kh1-g1 Nd6-b7 e4-e5 f6xe5
f4xe5 Nf7xe5 Qf2-f8+ Nc7-e8 Qg2-e4 Nb7-a5 Kg1-h1 Na5xb3) +3.97/20 8} 17.
Kf2 {(f1f2 b4c2 c3c2 d4c2 d2c2 c6b4 c2b1 e7c6 b1a1 a4b3 a2b3 c6d4 a1c3
b4c2) -5.61/15 12} axb3 {(a4xb3 a2xb3 Nb6-c8 Qd2-d1 b7-b6 Kf2-g1 Nd6-b7
e4-e5 f6xe5 f4xe5 Nb7-a5 Qh1-e4 Ke8-f8 Qc3-g3 Kf8-g8) +4.13/20 11} 18. axb3
{(a2b3 b6a8 h1b1 a8c7 d2e3 c7e6 f2f1 b7b5 c3c1 b5c4 b3c4 e6c7 f4f5)
-5.59/16 11} Nbc8 {(Nb6-c8 Kf2-g3 b7-b6 Qd2-f2 Ke8-d8 Kg3-h2 Nd6-e8 Qh1-a1
Nc8-d6 Qf2-g2 Ne8-c7 Qa1-e1 Nd6-e8 Kh2-h1 Nc6-a5 e4-e5 Na5xb3 Qe1-g3 f6xe5
f4xe5) +4.01/19 9} 19. Kg3 {(f2g3 b7b6 c3b2 d6b7 d2e3 b7a5 h1d1 c8d6 b2b1
a5b3 e3b3 d4b3 d1b3) -6.35/14 10} b6 {(b7-b6 Qd2-e3 Nd6-b7 e4-e5 f6xe5
f4xe5 Nb7-d8 Qh1-e4 Nf7-g5 Qe4-h1 Nd8-f7 e5-e6 d7xe6 Kg3-h2 Nc6-a5 Qh1-a8
Ng5-f3+ Kh2-h1 Na5xb3) +4.45/19 8} 20. Qb1 {(h1b1 d6b7 d2e3 b7a5 e3e1 c8d6
g3g2 d6b7 c3b2 d7d6 f4f5 a5b3) -6.62/14 7} Nb7 {(Nd6-b7 Kg3-g2 Nc8-d6 e4-e5
f6xe5 f4xe5 Nf7xe5 Qb1-h7 Nd6-f7 Qh7xg7 Nb7-d6 Qg7-h7 b6-b5 c4xb5 Nd6xb5
Qc3-e3 Nc6-a5 Kg2-h1 Nb5-d6 Qd2-g2 Na5xb3) +4.25/19 8} 21. Qdd1 {(d2d1 c8d6
e4e5 f6e5 f4e5 f7e5 b1h7 b6b5 d1f1 e7f5 g3g2 d6e4 c3e1 f5g3) -7.70/14 9}
Ncd6 {(Nc8-d6 Kg3-g2 Nb7-a5 e4-e5 f6xe5 f4xe5 Nf7xe5 Qb1-h7 Ke8-f8 g4-g5
Ne7-f5 g5xh6 g7xh6 Qd1-f1 Na5xb3 Qc3-g3 Nd6-f7) +4.52/19 11} 22. Qca1
{(c3a1 b7a5 g3h4 d4b3 b1b3 a5b3 a1a8 e7c8 d1b3) -8.03/15 8} Nba5 {(Nb7-a5
Qa1-c3 Nb4-a6 Kg3-g2 Ke8-d8 Qd1-d3 Kd8-c8 Qb1-f1 Kc8-c7 Qd3-b1 Na5xb3
Qb1xb3) +4.52/18 14} 23. Kg2 {(g3g2 d4b3 d1b3 a5b3 a1a8 f7d8 b1b3 d6e4 f4f5
d7d5 b3e3 e4d6 c4d5 b4d5 e3d2) -8.71/15 9} Ne6 {(Nd4-e6 Qd1-f1 Nc6-d4
Qa1-c3 Ne7-c6 Kg2-h2 Ke8-e7 Kh2-h1 Ke7-d8 Qf1-f2 Nd4xb3 e4-e5 f6xe5 Qc3xb3
Na5xb3 Qb1xb3 Nc6-a5 Qb3-c3 Na5xc4 f4xe5 Nf7xe5) +4.60/19 8} 24. Qdc1
{(d1c1 e8d8 a1b2 e6d4 c1h1 a5b3 b2b3 d4b3 b1b3 d6e4) -8.12/14 10} Ncd4
{(Nc6-d4 Qa1-b2 Ne7-c6 Qc1-f1 Ne6-c7 Qb2-c3 Ke8-d8 Kg2-h1 Kd8-e8 Qf1-f2
Ke8-e7 Qf2-h4) +4.59/18 8} 25. Qab2 {(a1b2 e7c6 f4f5 e6g5 c1d1 d6e4 d1e1)
-8.61/14 11} Nec6 {(Ne7-c6 Qc1-f1 Ke8-d8 Qb2-c3 Nc6-e7 Qc3-b2 Ne6-c7 Qb2-c3
Nb4-c6 Qf1-d1 Nd4xb3) +4.54/18 9} 26. Qf1 {(c1f1 d4b3 b2b3 a5b3 b1b3 c6a5
b3c3 a5c4 f4f5 e6d4 c3c4 d6c4) -9.09/15 6} Nc7 {(Ne6-c7 Qb2-c3 Ke8-d8
Kg2-h2 Kd8-c8 Qf1-g2 Nb4-a6 Kh2-h1 Nc7-e6 Qg2-f1 Kc8-c7 Kh1-h2 Na6-b4
Kh2-h1 Kc7-b7 Qf1-f2 Kb7-a6 Qf2-f1 Ka6-a7 Qc3-g3 Ka7-b7 Qg3-c3 Ne6-c7
Kh1-h2 Na5xb3 Qb1xb3) +4.52/19 8} 27. Qff2 {(f1f2 a5b3 b2b3 d4b3 b1b3 d6e4
f2e2 f7d6 b3d1 c6d4 e2e1 f6f5 g4f5 d4f5) -8.54/15 8} Kd8 {(Ke8-d8 Kg2-h1
Nc7-e6 Qb2-c3 Kd8-e7 Qf2-f1 Ke7-f8 Qf1-f2 Kf8-e8 Qc3-g3 Ke8-e7 Qf2-b2
Ke7-f8 Qg3-e3 Nb4-a6 Qe3-g3 Na6-b4) +4.44/18 9} 28. g5 {(g4g5 f6g5 e4e5
d6f5 f4g5 h6g5 f2f5 d4f5 b1f5 d8e7 g2g3 c7e6 f5g6 f7e5) -8.49/15 11} fxg5
{(f6xg5 e4-e5 Nd6-e8 f4xg5 Nf7xg5 Qf2-g3 Nc7-e6 Qb1-f1 Kd8-e7 Qb2-c3 Ng5-f7
Qc3-e3 Nb4-c2 Qg3-h4+ Ne6-g5 Qe3-c3 Nf7xe5 Qf1-f4 Ke7-d8 Kg2-h1 Na5xb3)
+5.49/18 9} 29. e5 {(e4e5 d6f5 f4g5 h6g5 f2f5 d4f5 b1f5 d8e7 b2f2 c6e5 f2g3
a5c6 f5h7 c7e6) -8.66/15 10} Nde8 {(Nd6-e8 f4xg5 Nf7xg5 Qf2-e3 Nc7-e6
Kg2-h1 Ng5-f7 Qb1-e4 Ne6-g5 Qe4-f4 Kd8-e7 Qb2-b1 Ng5-e6 Qf4-h4+ Ne6-g5
e5-e6 d7xe6 Qh4-g3 Ng5-f3 Qb1-g6 Na5xb3) +5.49/18 9} 30. fxg5 {(f4g5 f7e5
g5h6 g7h6 g2f1 a5b3 b2b3 d4b3 b1b3 d7d5 f2h4 d8c8 h4h3 c8b8 c4d5 c7d5)
-9.04/15 13} Nxg5 {(Nf7xg5 Qb2-c3 Nc7-e6 Qc3-e3 Kd8-e7 Kg2-h1 Ng5-f7
Qf2-h4+ Ne6-g5 Qh4-g3 Ke7-d8 Qb1-f1 Nb4-c2 Qe3-c3 Nf7xe5 Qf1-f8 Nc2-a3
Qg3-g2 Na5xb3) +5.38/18 11} 31. Qc3 {(b2c3 a5b3 f2g3 c6a5 g3g4 d7d5 c4d5
c7d5 c3e1 e8c7 b1g6 c7e6 g6b1) -9.26/14 7} Ke7 {(Kd8-e7 Qc3-e3 Nc7-e6
Kg2-h1 Ng5-f7 Qf2-h4+ Ne6-g5 Qh4-g3 Ke7-d8 Qg3-f4 Ne8-c7 Qb1-g6 Nd4-c2
Qe3-g3) +5.24/18 9} 32. Qce3 {(c3e3 c7e6 b1g6 a5b3 f2f1 e8c7 e3e1 b6b5 g2h2
b5c4) -8.99/13 8} Nce6 {(Nc7-e6) +5.34/19 14} 33. Qfg3 {(f2g3 g5f7 g3h4
e6g5 h4h2 a5b3 g2h1 g5f3 h2f4 b3d2 e3d2 f3d2 f4d2 f7e5) -9.38/14 13} d5
{(d7-d5 e5xd6/ep+ Ne8xd6 Qg3-f2 Ke7-d7 Kg2-h1 Nc6-e7 Qf2-g2 Ne7-f5 Qe3-c3
Nb4-c6 Qb1-d1 Ng5-e4 Qc3-e1) +5.74/18 9} 34. Qf1 {(b1f1 e8c7 c4d5 b4d5 e3f2
b6b5 g2h1 a5b3 h1h2 b5b4 f2e1) -10.02/15 13} N8c7 {(Ne8-c7 Kg2-g1 Ke7-d7
Kg1-h1 Nc6-e7 Qg3-f2 Na5xb3 Qf2-g3 Nb3-a5) +6.08/17 19} 35. cxd5 {(c4d5
b4d5 e3f2 a5b3 g2h2 b6b5 h2h1 b5b4 g3h2 g5e4 f2f7 e7d8 f7g8 d8d7) -10.35/15
14} Ncxd5 {(Nc7xd5 Qe3-f2 Na5xb3 Kg2-h1 b6-b5 Qf2-b2 c5-c4 Qf1-b1 Nb3-c5
Qb2-a3 c4-c3 Qb1-f1 Nc5-e4 Qg3-h4 c3-c2) +7.59/20 7} 36. Qef2 {(e3f2 a5b3
g2h1 c5c4 f1c4 g5e4 g3h4 e6g5 f2g2 b3d2 c4c1 d2f3 h4g4 c6e5) -10.40/15 8}
Naxb3 {(Na5xb3 Qf2-b2 Nb3-a5 Kg2-h1 c5-c4 Qf1-d1 c4-c3) +7.28/19 8} 37. Kh1
{(g2h1 b6b5 f2b2 c5c4 b2a3 c4c3 a3a8 c3c2 a8a3 e6c5 f1e1 c2c1 a3c1 b3c1
e1c1) -12.21/14 8} b5 {(b6-b5 Qf2-b2 c5-c4 Qb2-a3 c4-c3 Qf1-b1 Nb3-c5
Qb1-f1 c3-c2 Kh1-h2 Ke7-d7 Kh2-h1 Ng5-e4 Qf1-f7+) +8.43/20 10} 38. Qb2
{(f2b2 c5c4 b2a3 b3d2 f1d1 d2f3 a3a8 c6e5 d1b1 d4e2 g3f2 e6d4 a8b7 e7f8
b7c8 f8f7 c8b7 f7f6) -12.42/16 14} c4 {(c5-c4 Qb2-a3 c4-c3 Qg3-d3 Nb3-d2
Qd3xb5 Nd4xb5 Qf1xb5 Ke7-e8 Qb5-b7 Ng5-f7 Qa3-a8+ Nf7-d8 Qb7xc6+ Nb4xc6
Qa8-a2 Nd5-e3) +8.50/20 8} 39. Qa3 {(b2a3 c4c3 f1b1 b3d2 b1d1 g5f3 g3f2
e6f4 f2g3 f4h5 g3g4 d2c4 a3a8 c3c2) -13.58/16 44} c3 {(c4-c3 Qf1-b1 Nb3-c5
Qb1-f1 c3-c2 Qa3-b2 Nc6-a5 Qf1-g2 Nc5-b3) +9.12/20 8} 40. Qfg2 {(f1g2 e6f4
g2a2 b3c5 a3a7 c5d7 a7a3 c3c2 a2a1 f4h5 g3h4 h5f4) -13.58/14 6} Kd7
{(Ke7-d7 Qg2-f1 Nb3-d2 Qf1-d1 Ng5-f3 Qg3-g2 Nf3xe5 Qa3-a8 Nd2-c4 Qd1-g1
c3-c2 Qg1-c1 Kd7-d6 Qa8-b7) +9.70/18 11} 41. Q3f2 {(g3f2 e6f4 g2f1 c3c2
f2f4 d5f4 f1f4 c2c1 a3c1 b3c1 f4c1 c6e5 c1d2) -13.85/15 17} Nde7 {(Nd5-e7
Qf2-g3 c3-c2 Qg3-c3 c2-c1Q+ Qa3xc1 Nb3xc1 Qc3xc1 Nb4-d5 Qc1-a3 Ng5-f7
Qa3-h3 Nd5-f4 Qg2xg7 Nf4xh3 Qg7xf7) +9.96/18 8} 42. Qe3 {(f2e3 c3c2 g2g1
g5f3 g1f1 c2c1 e3c1 b3c1 f1c1 f3e5 a3a8 e7d5 a8b7 e6c7 c1d2) -13.95/15 10}
c2 {(c3-c2 Qg2-g1 Ng5-f3 Qg1-f1 c2-c1Q Qf1xc1 Nb3xc1 Qa3xc1 Nf3xe5 Qe3-a3
Nb4-d3 Qc1-g1 Nd3-f4 Qa3-a8 Nf4xh5 Qg1-h2 Ne6-f4) +10.19/19 8} 43. Qgg1
{(g2g1 g5f3 g1f1 c2c1 e3c1 b3c1 f1c1 e7d5 c1b1 c6e5 a3a7 d7d6 a7b8 d6c6
b8c8 e6c7 c8f8 c7e6) -14.13/15 10} Ngf3 {(Ng5-f3 Qg1-f1 Nf3-d2 Qf1-e1
Nd4-f3 Qa3xb3 Nd2xb3 Qe3xf3 c2-c1Q Qe1xc1 Nb3xc1) +11.00/18 9} 44. Qf1
{(g1f1 f3d2 f1g1 b4d5 e3f2 b5b4 a3a4 d2f3 a4b3 f3g1 b3b2 g1f3) -15.26/15
14} Nfd2 {(Nf3-d2 Qf1-e1 Nd4-f3 Qa3xb3 Nd2xb3 Qe3xf3 c2-c1Q Qe1xc1 Nb3xc1
Qf3-f2 Nc1-d3 Qf2-b6 Ne6-d4 Qb6-b7+ Kd7-e6 Qb7-c7 Nc6xe5 Qc7-c3 Ke6-d5
Kh1-h2) +11.36/18 9} 45. Qfg1 {(f1g1 b4d5 e3d3 c6e5 a3a7 d7d6 a7b8 e6c7
b8d8 d6c6 d3c2 d4c2 g1g7 e5d3 g7h6 c6b7 h6d6 d3f2 h1h2 f2e4) -16.60/15 8}
Nbd5 {(Nb4-d5 Qe3-d3 Nd5-f4 Qd3-h7 b5-b4 Qa3-b2 Nf4-e2 Qb2xc2 Nd4xc2 Qh7xc2
Ne2xg1 Kh1xg1 Nc6-d4 Qc2-b2) +11.45/16 14} 46. Qd3 {(e3d3 d5f4 d3e3 e7f5
e3f2 d2e4 f2e1 f5g3 g1g3 e4g3 e1g3 c2c1 a3c1 b3c1 g3e1) -16.66/14 5} Ndf4
{(Nd5-f4 Qa3-d6+ Kd7-e8 Qd3-h7 Nd2-f3 Qh7-h8+ Ne6-f8 Qh8xg7 Nf3xg1 Qd6xh6
Nf4-e6 Qg7xg1 Nc6xe5 Qg1-h2 Ne7-c6) +11.90/16 12} 47. Qde3 {(d3e3 e7f5 e3f2
f4h5 g1g2 h5g3 h1h2 g3e4 f2f5 d4f5 a3b3 d2b3 g2e4 c2c1 e4f5) -18.32/14 8}
Nef5 {(Ne7-f5 Qe3-f2 Nf4-e2 Qg1-g6 c2-c1Q+ Qa3xc1 Nb3xc1 Qf2-g2 Kd7-c7
Qg2-f2 Nd2-e4 Qg6-f7+ Kc7-b6 Qf7xf5 Ne4-g3+ Kh1-h2 Ng3xf5) +15.70/17 8} 48.
Qef2 {(e3f2 f4h5 g1g2 h5g3 h1h2 g3e4 a3b3 d2b3 g2e4 c2c1 e4f5 d4f5 f2f5
c6d4) -18.63/14 7} Nfe2 {(Nf4-e2 Qg1-g6 c2-c1Q+ Qa3xc1 Nb3xc1 Qf2-g2 Kd7-c7
Qg2-f2 Nc6xe5 Qg6xf5 Nd4xf5 Qf2-a7+ Kc7-d6 Qa7-b6+ Kd6-e7 Qb6-b7+ Ke7-f6
Qb7xb5 Ne2-g3+ Kh1-h2 Nd2-f3+ Kh2-g2) +15.72/16 8} 49. Qgg2 {(g1g2 c2c1
a3c1 b3c1 f2f5 d4f5 g2d5 d7c7 d5d2 f5g3 h1g2 e6f4 d2f4 e2f4 g2g3 c1d3 g3g4
c6e5 g4h4 b5b4) -18.56/14 14} c1=Q+ {(c2-c1Q+ Qa3xc1 Nb3xc1 Qg2-d5+ Kd7-e8
Kh1-h2 Ne6-f4 Qd5-h1 Nc6xe5 Qf2xf4 Ne2xf4 Qh1-a8+ Ke8-f7 Qa8-a7+ Kf7-f6
Qa7-b6+ Kf6-g5) +17.42/16 11} 50. Qxc1 {(a3c1 b3c1 f2f5 d4f5 g2d5 d7c7 d5d2
f5g3 h1g2 c1d3 d2d1 e6f4 g2h2 g3h5 e5e6 h5g3) -19.60/15 6} Nbxc1 {(Nb3xc1
Qf2-e1 Nd2-e4 Qg2xe4 Nf5-g3+ Kh1-h2 Ng3xe4 Qe1-h1 Ne2-g3 Qh1xc1 Nc6xe5
Qc1-d1 Ne5-f3+ Kh2-h3 Ne6-f4+ Kh3-g4 Ng3xh5) +25.10/19 10} 51. Qxf5 {(f2f5
d4f5 g2d5 d7e7 d5d2 f5g3 h1g2 c1d3 d2e2 g3e2 g2f3 e2d4 f3e3 d3f4 e3e4 f4h5)
-23.97/15 7} Nxf5 {(Nd4xf5 Qg2-d5+ Kd7-e7 Qd5xd2 Ne6-f4 Qd2-c2 Nf5-g3+
Kh1-h2 Nc1-d3 Qc2xd3 Nf4xd3 e5-e6 Nc6-e5 Kh2-g2 Ke7xe6 Kg2-h2 Ng3xh5 Kh2-g2
Nh5-f4+) +M23/20 9} 52. Qd5+ {(g2d5 d7e7 d5d2 f5g3 h1g2 c1d3 d2e2 g3e2 g2f3
e2f4 f3e3 c6e5 e3d2 f4h5 d2c2 h5f4 c2c3 e6c5) -26.52/17 6} Ke7 {(Kd7-e7
Qd5xc6 Nf5-g3+ Kh1-h2 Nd2-f1+ Kh2-g2 Ne6-f4+ Kg2-f3 Nf1-h2+ Kf3-e3 Ng3-f5+
Ke3-d2 Nh2-f1+ Kd2-c2 Nf5-d4+ Kc2-d1 Nd4xc6 e5-e6 Nc1-d3 Kd1-c2 Nc6-d4+
Kc2-b1 Nf4xh5) +M19/18 9} 53. Qxd2 {(d5d2 f5g3 h1g2 c1d3 d2e2 g3e2 g2f3
e2f4 h3h4 b5b4 e5e6 c6d4 h4g4 e2c3 g4h4 e7e6) -26.52/17 11} N6f4 {(Ne6-f4
Qd2-b2 Nc1-d3 Qb2-a3+ b5-b4 Qa3xd3 Nf4xd3 e5-e6 Nf5-e3 Kh1-h2 Nc6-e5 Kh2-h1
Nd3-f2+) +M13/16 9} 54. Qb2 {(d2b2 c1d3 b2a3 b5b4 a3d3 f4d3 e5e6 f5h4 h1h2
c6d4 h2h3 d3f2 h3h4 d4f3) -M3/22 5} Ncd3 {(Nc1-d3 Qb2-a3+ b5-b4 Qa3xd3
Nf4xd3 e5-e6 Nf5-e3 Kh1-h2 Nc6-e5 Kh2-h1 Nd3-f2+ Kh1-h2 Ne5-g4+) +M7/13 9}
55. Qa3+ {(b2a3 b5b4 a3d3 f4d3 e5e6 f5h4 h1h2 c6d4 h2h1 d3f2 h1h2 d4f3)
-M3/24 8} b4 {(b5-b4 Qa3xd3 Nf4xd3 Kh1-h2 Nc6xe5 Kh2-h1 Nf5-h4 Kh1-h2
Ne5-f3+ Kh2-h1 Ne2-g3+) +M6/12 1} 56. Qxd3 {(a3d3 f4d3 h1h2 c6e5 h2h3 f5e3
h3h4 e5f3 h4h3 d3f2) -M2/27 6} Nxd3 {(Nf4xd3 Kh1-h2 Nc6xe5 Kh2-h1 Nf5-h4
Kh1-h2 Ne5-f3+ Kh2-h1 Ne2-g3+) +M5/10 0} 57. e6 {(e5e6 f5h4 h1h2 c6d4 h2h1
d3f2 h1h2 d4f3) -M2/29 7} Ne3 {(Nf5-e3 Kh1-h2 Nc6-e5 Kh2-h1 Nd3-f2+ Kh1-h2
Ne5-g4+) +M4/8 0} 58. Kh2 {(h1h2 c6d4 h2h3 d3f2 h3h2 d4f3) -M1/30 7} Nce5
{(Nc6-e5 Kh2-h1 Nd3-f2+ Kh1-h2 Ne5-g4+) +M3/6 0} 59. Kh3 {(h2h3 d3f2 h3h4
e5f3) -M1/31 6} Nf2+ {(Nd3-f2+ Kh3-h2 Ne5-g4+) +M2/4 0} 60. Kh4 {(h3h4
e5f3) -M0/34 7} Ng2# {(Ne3-g2+) +M1/2 0} 0-1
[/pgn]
TQueeny windows executables are available here:
http://dl.dropboxusercontent.com/u/89684995/tqueeny.exe
http://dl.dropboxusercontent.com/u/8968 ... -nopop.exe

[hgm]

Here is a game where TQueeny won as white against QueeNy (QN). The time control was 40 moves in 7 minutes, repeating, no pondering.

Well, it seems that QueeNy tactically blundered a Knight away (for a Pawn) early in the game. Being tactically ver much inferior to TQueeny, that is bound to happen now and then. It seems that TQueeny is consciously setting up a trap here, offering QueeNy a pawn to lure its Knight forward, after which it has no safe place to withdraw to.

Also note that QueeNy opens very poorly here, moving its King out without there being any Knight shelter yet. This could be due to the randomization, with sometimes makes it play quite poor moves.

I wouldn't take it as evidence that the Knight's position is not won. It is just evidence that QueeNy is fallible, even at 40/7'.

[Lyudmil Tsvetkov]

Still, my earlier statement that this is an admission on your part that the Queen value in this position is suppressed to below that of two Knights. Which was really all that elephantiasis was about. So if you agree on that, there isn't really anything left to prove.

It would be supressed, if the position is won for the knights. A single queen trades for 2 knights for the simple reason that, if that is not done, in a reasonable amount of time the queen value would really be supressed to below 2 knights, however, the trade avoids precisely that. The knights would be strong, if they manage to cooperate well, only when abundantly defending each other, otherwise they would not. The queen exchange avoids precisely that. Say it that way: 7 well placed knights would suppress the value of 3Qs, but not 7 randomly placed knights. The knights would suppress the queen value, if they necessarily placed well, but there is no proof for that.
The trade is an attempt not to allow good coordination for the knights side, or good defence, an immaterial factor, that should be taken into account when calculating the piece values.

[hgm]

There is no formal write-up of the theory. It was mentioned a few times before, but it isn't really much of a theory. It can be worded in one sentence:

The evaluation contains terms proportional to the products of the number of white pieces of type A and the number of black pieces of type B.

I realized that this is too simple: it does not account for the 'second-order' elephantiasis effect. If the marginal value of Knights gets very high, because of their devaluating effects on opponent Queens, they themselves start to suffer from elephantiasis inflicted by opponent Knights. So adding a Knight to the Queens side will have about the same effect as removing one of the Knights of the Knights side. Despite the fact that there are no Queens for that extra Knight to devaluate. But you know that it is bound to be exchanged for one of the seven opposing Knights.

So it is really the excess of minor pieces that cause the permanent (i.e. as permanent as piece values can be) devaluation of opposing Queens. Their absolute number only expresses the instantaneous devaluation of the Queen, but is too volatile a quantity to have nearly as much effect when integrated over the future game. It evaporates very easily (like under-development).

So there actually can be said a lot about this effect, and it all traces back to the underlying principle of piece-handling strategies. When using a piece, it can be used according to a trade-avoiding strategy or a trade-neutral strategy. This for every opponent piece type independently. In a balanced orthodox-Chess position you would obviously handle a Rook trade-avoiding against minors and Pawns, and trade-neutral with respect to other Rooks and Queens.

Now a piece that is handled in a trade-avoiding way is a lot less useful than a piece that is handled in a trade-neutral way. (E.g. if you attack a Pawn with R+B and it is only protected by N, you can win that Pawn if you are prepared to accept the following NxB trade, but have nothing if you are not.) I noticed this in my first Chess program I wrote in the late seventies. In Chess programs you of course tune the piece-handling strategy through the piece values. And when I did set the value of the Bishop significantly higher than that of the Knight, to make sure the program would handle it trade-avoiding, it actually became less valuable than the Knight. I.e. If I would let it play with the regular FIDE setup against an opponent that started with four Knight in stead of Knights and Bishops it would systematically lose, having two Bishops it was too afraid to use. OTOH, if I made the Knight value higher, It would systematically lose against an opponent that staretd with 4 Bishops, afraid to use its Knights.

So setting one of the minor values higher was a self-defeating prophecy; the piece that it valued most would actually become the weaker piece because of it. The best strategy was to consider them equal. Choosing the best of two evils, getting as much advantage out of the piece as you can before it would eventually be traded away, even if that might not be the intrinsic value of the piece, rather than accepting the devaluation it would suffer from trade-avoidance.

This explained something that before that had always been a mystery to me: the unlikely coincidence of the closeness in value of two pieces as different in character as Knights and Bishops. It is not a coincidence at all: two close values will pull the higher one (which you might notice if you play each of them separately against pieces of a completely different value, say Rooks) towards the lower one by the fact that it is doomed to be traded for the weaker one, as adopting a trade-avoiding strategy (i.e. succumb to the elephantiasis) would be worse.

So in fact it all depends on availability of trading partners. With 3Q against 7N there are none, and you feel the raw effect of the elphantiasis, as Q-for-N 1-on-1 trades are too costly to consider. If you would play 3Q against 3 Archbishops (B + N compounds), however, the Archbishops would be tactically very superior to 7 Knights (The intrinsic value of A is slightly above 8, when Q=9.) But the Knights are able to force down the effective value of the Queen to below 6 by forcing the (1-for-1) trade-avoiding strategy on the Queens, as it is in general too difficult to force 2-on-1 trades. While the Archbishops would never be able to force the value of the Queens to below 8. Although the elephantiasis would be even worse than with the Knights, the Queens simply change to the trade-neutral strategy. This still depresses their value, but only to the value of an Archbishop, (~8), for which they will be traded. Succumbing to the elephantiasis would be much worse. So the natural progress in such a game is that you trade the first two Q for A. By then the elephantiasis on the remaining Queen inflicted by the single Archbishop has decreased to an acceptable value, i.e. one that leaves even the depressed value above that of A (by the empirical Q-A difference of about 0.75 Pawn).

So the algorithm for calculating the non-additive corrections to the material eval should for each piece type determine for which opponent piece types it will adopt a trade-avoiding strategy. Piece for which it does will get their value depressed by elephantiasis. But as long as there are pieces for which it adopts a trade-neutral strategy, you should assume that these will be traded, and calculate the elephantiasis after such trades have occurred. If the elephantiasis before trading is worse, that should count for something (because the trading down is not instantaneous, and you suffer until you have achieved it), but not for its full value. Perhaps you should take a weighted average, 25% current elephantiasis, 75% the elephantiasis left after trading.

Note that to trade down both players should agree to the trade-neutral strategy. In KQRKRBNN trading Rooks is good for the Q side, as his Queen suffers from the opponent Rook, and his Rook suffers from the minors (while the opponent does not have any of this). But to make that fully 'stick', the minor side will have to adopt a trade-avoiding strategy for its own Rook. Which is worth it, but offers some compensation. So in the end the correction is:

white Q devaulated by R + 3 minors
white R devaluated by 3 minors
black R devaluated by R

There is no 'trading agreement', so it remains at that.

[Uri Blass]

I wonder if we can prove some non transitive behaviour like the following(note that I do not know the result and I did not try to play games and it is only a guess that may be wrong and I suspect that practically the 24 pawns win against 8 pawns and 3 queens but the same idea of non transitive behaviour may work for a different material configuration).

[d]nnnnknnn/pppppppp/8/8/PPPPPPPP/PPPPPPPP/PPPPPPPP/4K3 b - - 0 1

white wins in the first diagram

[d]q2qk2q/pppppppp/8/8/PPPPPPPP/PPPPPPPP/PPPPPPPP/4K3 w - - 0 1

black wins in the second diagram(may be wrong)

[d]q2qk2q/pppppppp/8/8/8/8/PPPPPPPP/NNNNKNNN b - - 0 1

white wins in the third diagram

[petero2]

Here is a game where TQueeny won as white against QueeNy (QN). The time control was 40 moves in 7 minutes, repeating, no pondering.

Well, it seems that QueeNy tactically blundered a Knight away (for a Pawn) early in the game. Being tactically ver much inferior to TQueeny, that is bound to happen now and then. It seems that TQueeny is consciously setting up a trap here, offering QueeNy a pawn to lure its Knight forward, after which it has no safe place to withdraw to.

Also note that QueeNy opens very poorly here, moving its King out without there being any Knight shelter yet. This could be due to the randomization, with sometimes makes it play quite poor moves.

I wouldn't take it as evidence that the Knight's position is not won. It is just evidence that QueeNy is fallible, even at 40/7'.

I played a 10 game match with alternating colors from the same position using the same 40/7 time control. TQueeny won 10-0. I think this at least shows that in this position with a spread out pawn chain and no knights protecting each other, a lot of tactical strength is needed to play this well.

In the first two games, I accidentally forced the first white move to be e4. Game 3 and 4 are the same games I posted before.
http://dl.dropboxusercontent.com/u/8968 ... Arena2.pgn

[Michel]

Non-transivity exists in quite natural looking games

http://en.wikipedia.org/wiki/Penney%27s_game

It seems likely that some form of non-transitivity exists in chess too.

[petero2]

[d]6k1/ppp2pp1/1nnnnn1p/8/8/7P/PPP2PP1/3QQ1K1 w - - 0 1

Play 10 games with the above position, featuring the imbalance of 2 queens vs 5 knights in a neutral environment, and report the result.
I would be happy with the following conditions: 1 to 5 minute games (1 minute per each side for the entire game would be fine), 10 games of Queeny with black vs Stockfish + 9 other engines of your choice that are not weaker than Queeny.

I played a 10 game match from this position with alternating colors between QueeNy and TQueeny. Time control was 40 moves in 7 minutes, repeating. TQueeny won 9.5-0.5. I think this at least shows that it is not an easy win for the black side.
http://dl.dropboxusercontent.com/u/8968 ... Arena1.pgn

[Lyudmil Tsvetkov]

Here is a game where TQueeny won as white against QueeNy (QN). The time control was 40 moves in 7 minutes, repeating, no pondering.

Well, it seems that QueeNy tactically blundered a Knight away (for a Pawn) early in the game. Being tactically ver much inferior to TQueeny, that is bound to happen now and then. It seems that TQueeny is consciously setting up a trap here, offering QueeNy a pawn to lure its Knight forward, after which it has no safe place to withdraw to.

Also note that QueeNy opens very poorly here, moving its King out without there being any Knight shelter yet. This could be due to the randomization, with sometimes makes it play quite poor moves.

I wouldn't take it as evidence that the Knight's position is not won. It is just evidence that QueeNy is fallible, even at 40/7'.

I played a 10 game match with alternating colors from the same position using the same 40/7 time control. TQueeny won 10-0. I think this at least shows that in this position with a spread out pawn chain and no knights protecting each other, a lot of tactical strength is needed to play this well.

In the first two games, I accidentally forced the first white move to be e4. Game 3 and 4 are the same games I posted before.
http://dl.dropboxusercontent.com/u/8968 ... Arena2.pgn

Thanks Peter, for the tests.

I also get some promising positions with white, but obviously you need to see too much tactics to perform well. And that is not easy for humans, especially with shorter time.

But of course, thanks also to Harm for raising such an inntriguing issue. I think the discussion is worth it.

[Lyudmil Tsvetkov]

Not happy with the tactical mistakes I make, I employed a new strategy against Queeny - doing nothing. The game ended in a draw in 1oo moves, well, actually I stopped it there, for Queeny was just shuffling around. In this position shuffling might have continued for some 500 more moves.

I do not know if black can make progress in the final position, but it is quite probable that by improving on that plan the queen side will be able to draw every single game. I do not know what happens if the knights employ the same strategy.

[pgn][Event "Computer chess game"]
[Site "OWNER-PC"]
[Date "2013.10.27"]
[Round "?"]
[White "owner"]
[Black "QN"]
[Result "*"]
[BlackElo "2000"]
[Time "16:21:13"]
[WhiteElo "2400"]
[TimeControl "300"]
[SetUp "1"]
[FEN "nnnnknnn/pppppppp/8/8/8/8/PPPPPPPP/Q2QK2Q w - - 0 1"]
[Termination "unterminated"]
[PlyCount "200"]
[WhiteType "human"]
[BlackType "human"]

1. Kf1 Nf6 {(g8f6 c2c4 h8g6 d2d4 e7e5 e2e3 a8b6 c4c5 b6d5 e3e4 f6e4 d4e5)
+3.81/14 7} 2. Ke1 Nbc6 {(b8c6 d2d4 d7d5 c2c4 d5c4 d4d5 c6b8 d1a4 b8d7 a4c4
c8b6 c4d4 b6d5 d4a7) +4.34/14 5} 3. Kf1 e5 {(e7e5 e2e3 d8e6 c2c3 a8b6 d2d4
h8g6 d4e5 g6e5 f2f4 e5c4 a1c1) +4.70/14 7} 4. Ke1 Nhg6 {(h8g6 c2c4 f8e6
d2d3 a8b6 f2f3 e6c5 a1b1 d7d5 b2b4 c5a4 e2e4 a4c3) +5.05/14 6} 5. Kf1 d5
{(d7d5 h2h4 a8b6 h4h5 g6e7 h5h6 g7g5 d2d3 d8e6 f2f3 c8d6 e2e4 e6d4 c2c3)
+5.48/15 6} 6. Ke1 Nd6 {(c8d6 a2a4 a8b6 a4a5 b6d7 e2e3 f8e6 a5a6 d7c5 a6b7
d8b7 d2d3 d6f5 c2c4) +5.70/15 8} 7. Qg1 Nde6 {(d8e6 e2e3 a8b6 c2c3 e5e4
d2d4 e4d3 d1d3 f8d7 d3c2 b6c4 b2b3 c4a3 c2c1 a3b5) +5.86/16 13} 8. Qh1 Nb6
{(a8b6 e2e3 f8d7 d2d3 d7c5 f2f3 g6e7 c2c3 e7f5 b2b4 c5d7 e3e4 f5e3)
+6.04/15 7} 9. Qg1 Nf8d7 {(f8d7 d2d3 d7c5 c2c3 d5d4 b2b4 c5a6 a2a3)
+6.12/13 4} 10. Qh1 d4 {(d5d4 d2d3 e5e4 e2e3 e4d3 c2d3 d7e5 f2f4 e5g4 e3d4
g6f4 g2g3) +6.33/13 4} 11. Qg1 e4 {(e5e4 d2d3 b6d5 c2c4 d4c3 b2c3 b7b5 d3d4
d6c4 d1b3 a7a6 e2e3 e6g5) +6.41/13 5} 12. e3 Nde5 {(d7e5 e1f1 b6d5 b2b3
b7b5 f2f4 e4f3 g2f3 g6h4 f3f4 e5f3 g1f2) +6.67/14 6} 13. Qh1 Nbd5 {(b6d5
e1f1 d4d3 c2d3 e5d3 d1e2 g6e5 f2f4 e4f3 g2f3 d6c4 e3e4) +6.81/14 7} 14. h3
d3 {(d4d3 f2f4 d3c2 d1c2 e5d3 e1f1 d6f5 f1g1 e6c5 g2g4 f5g3) +6.94/12 3}
15. c3 Nh4 {(g6h4 b2b3 b7b5 a2a4 b5b4 c3c4 d5e7 a4a5 d6f5 a5a6 e6c5 e1f1
e8f8 g2g4) +7.03/14 7} 16. Kf1 Nhf5 {(h4f5 b2b3 b7b5 g2g4 f5e7 a2a4 a7a6
a4b5 a6b5 a1a8 e8d7 h1g2 e6g5 a8f8 g7g6) +7.23/14 3} 17. Qg1 Ng5 {(e6g5
g1h1 b7b5 b2b3 e8d7 g2g4 f5e7 a2a4 a7a6 h1g2 e5f3 a4b5 a6b5) +7.25/14 5}
18. Qh1 Nfd7 {(f6d7 d1h5 h7h6 h5d1 f7f6 g2g4 f5e7 b2b3 g5f3 c3c4 d5b4)
+7.21/13 3} 19. Qab1 b5 {(b7b5 b1a1 d7f6 b2b3 f6d7 h3h4 g5e6 g2g4 a7a6 a4b5
a6b5 f2f4) +7.31/13 5} 20. b3 Kd8 {(e8d8 b1a1 d7f6) +7.30/13 5} 21. Qa1
N7f6 {(d7f6 g2g4 f5e7 a2a4 a7a6 a4b5 a6b5 a1a8 d8d7 a8f8 b5b4 c3c4 g5e6
f8h8) +7.25/14 6} 22. Qab1 Kd7 {(d8d7 b1b2 d7e8 b2a3 h7h6 a3b2 e8f8 g2g4
f5e7 a2a4 a7a6 a4b5 a6b5) +7.24/13 3} 23. Qa1 Ke7 {(d7e7 d1c1 e7e8 g2g4
f5e7 a2a4 a7a6 a4b5 a6b5 a1a8 e8d7 a8f8 g7g6) +7.24/13 4} 24. Qab1 Ke8
{(e7e8 b1b2 e8f8 g2g4 f5e7 a2a4 a7a6 a4b5 a6b5 b2a3 f8e8 a3a8 e8d7 b3b4)
+7.30/13 3} 25. Qa1 g6 {(g7g6 a1b1 e8f8 g2g4 f5e7 h1g2 e5f3 a2a4 b5b4 c3c4
d5b6) +7.24/14 5} 26. Qab1 Kf8 {(e8f8 b1c1 f8g8 g2g4 f5e7 h1g2 g8g7 c1b2
e5f3 b2a3 f3e5) +7.22/13 4} 27. Qa1 Kg8 {(f8g8 a1b2 f6d7 d1c1 f7f6 g2g4
f5e7 a2a4 a7a6 a4b5 a6b5 b3b4) +7.21/13 3} 28. Qab1 h6 {(h7h6 b1a1 g8f8
g2g4 f5e7 a2a4 a7a6 a4b5 a6b5) +7.12/13 4} 29. Qa1 Kh7 {(g8h7 a1c1 h7g7
c1a1 g7f8 g2g4 f5e7 a2a4 a7a6 a4b5 a6b5) +7.19/13 2} 30. Qab1 h5 {(h6h5
h3h4 g5e6 d1e1 f6g4 b1c1 h7h8 f2f4 e4f3 g2f3) +7.14/13 2} 31. Qa1 h4 {(h5h4
a2a4 a7a6 a4b5 a6b5 a1a6 h7h6 b3b4 h6h7 d1e1 h7h8 h1h2 h8g8 a6a8 g8g7)
+7.24/15 3} 32. Qab1 Kh8 {(h7h8 h1h2 h8g8 h2h1 g8g7) +7.33/14 4} 33. Qa1
Kg8 {(h8g8 a2a4 a7a6 a4b5 a6b5 a1a6 g8g7) +7.33/14 2} 34. Qab1 Kg7 {(g8g7
h1h2 g7f8 h2g1 f8e8 b1b2 e8e7 b2a3 e7f8 a3b2 f8g8) +7.34/14 3} 35. Qa1 Nfd7
{(f6d7 a1b2 f7f6 b2a3 g7g8 a3c1 g8h8 c1a3 h8h7 f1g1 h7h6 g1f1 h6g7 a3c1
d6f7) +7.35/15 5} 36. Qab1 Ncb8 {(c6b8 b1b2 c7c5 d1a1 b8c6 a2a4 a7a6 a4b5
a6b5 a1a2) +7.44/13 2} 37. Qa1 c5 {(c7c5 a2a4 a7a6 a4b5 a6b5 d1b1 b8c6 h1h2
f7f6 a1b2 c5c4 b3c4 b5c4 h2h1) +7.55/16 3} 38. Qab1 c4 {(c5c4 b3c4 b5c4
d1a4 b8c6 a4a3 f7f6 b1b2 g7g8 b2b1 d6f7 b1b2) +7.66/14 2} 39. b4 N7f6
{(d7f6 a2a4 a7a6 a4b5 a6b5 b1b2 b8c6 b2a3 g7g8 a3b2 g8h8 b2a3 h8h7 a3b2
h7h6) +7.61/15 2} 40. Qa1 Nbc6 {(b8c6 h1h2 g7g8 a1b2 g8h8 b2a3 h8h7 a3b2
h7h6 b2a3 h6g7 a3b2 g7g8 b2a3 g8h8) +7.65/15 2} 41. a3 Nb6 {(d5b6 h1h2 g7h6
a1b2 b6d5 a3a4 a7a6 a4b5 a6b5 b2a3 h6h7 a3b2) +7.67/15 3} 42. Qab1 Kg8
{(g7g8 h1h2 b6d5 a3a4 a7a6 a4b5 a6b5 b1a2 g8g7 a2b1 g7h7 b1a2 h7h8 f1g1
h8h7) +7.66/16 3} 43. Qa1 Nbd5 {(b6d5 a3a4 a7a6 a4b5 a6b5 a1b2 g8g7 b2a3
g7h7 a3b2) +7.69/16 3} 44. Qab1 Kf8 {(g8f8 a3a4 a7a6 a4b5 a6b5 b1a2 f8g8
a2b1 g8g7 f1g1 g7h7 g1f1) +7.68/14 2} 45. Qa1 Kg7 {(f8g7 a3a4 a7a6 a4b5
a6b5 h1g1 g7g8 a1b2 g8h8 b2a3 h8h7) +7.61/14 2} 46. Qab1 a6 {(a7a6 b1c1
g7g8 c1b2 g8h8 b2c1 h8h7 c1b2 h7h6 b2a1 a6a5 a1b2 a5b4) +7.67/14 2} 47. Qa1
Kh8 {(g7h8 h1g1 h8h7 g1h1 h7h6 a1b2 a6a5 b2a1 a5b4 a3b4 h6h7 f1g1 h7h8 a1b2
h8h7) +7.66/15 2} 48. Qab1 Kh7 {(h8h7 h1g1 h7h6 b1a2 h6g7 a2b1 g7g8 b1a2
g8h8) +7.64/15 2} 49. Qa1 Kh6 {(h7h6 f1g1 a6a5 g1f1 a5b4 a3b4 h6h7 a1b2
h7h8 h1g1 h8g8 g1h1 g8g7 b2a3) +7.65/15 2} 50. Qab1 Nde8 {(d6e8 f1g1 e8c7
g1f1 c7e6 b1a2 h6h7 a2b1 e6c7 b1a2 h7h8 a2b1 c7e6 b1a2 h8g8) +7.69/15 2}
51. Qa1 Kg7 {(h6g7 a3a4 e8d6 a4b5 a6b5 a1a2 g7g8 a2b1 g8h8 b1a2 h8h7 f1e1
h7h6 e1f1) +7.64/15 1} 52. Qab1 Kh7 {(g7h7 f1g1 e8d6 b1a2 h7h8 a2b1 h8g8
b1a2 g8g7 a2b1 g7f8) +7.61/15 1} 53. Qa1 Neg7 {(e8g7 h1h2 g7e6) +7.62/15 1}
54. Qab1 N7e6 {(g7e6 b1a2 e6c7 a2b1 h7h8 f1e1 c7e6 e1f1 h8g8 f1g1 e6c7 b1a2
g8g7 a2b1) +7.66/14 1} 55. Qa1 Kh8 {(h7h8 d1e1 e6c7 a1b2 h8h7 b2a1)
+7.64/14 1} 56. Qab1 Kg7 {(h8g7 h1h2 e6c7 h2h1 g7g8 b1a2 c7e6 a2b1 g8h8
b1a2 e6c7 a2b1 h8h7 h1h2 c7e6) +7.66/15 2} 57. Qa1 Nec7 {(e6c7 h1h2 g7g8
h2h1 c7e6) +7.67/15 2} 58. Qab1 Kg8 {(g7g8 h1h2 c7e6 b1a2 g8g7 a2b1)
+7.67/14 1} 59. Qa1 Nfd7 {(f6d7 h1g1 f7f6 a1b2 c7e6 b2a1 g8g7 a1b2 e6c7
b2a1 g7h7 g1h2 c7e6) +7.66/15 2} 60. Qab1 f6 {(f7f6 h1g1 c7e6 b1a2 g8g7)
+7.62/14 1} 61. Qa1 Nce6 {(c7e6 a1b1 g8g7) +7.68/15 1} 62. Qab1 Kg7 {(g8g7
b1c1 e6c7 h1h2 g7g8 c1b2 c7e6 b2a1 g8g7 a1b2 g7h7 b2c1 e6c7 c1b2 h7h8)
+7.64/15} 63. Qa1 Kf8 {(g7f8 a1b2 e6c7 b2a1 f8f7 f1g1 c7e6 a1b2 f7g7 g1f1
e6c7 b2a1 g7g8 a1b2 c7e6) +7.66/15 1} 64. Qab1 Kf7 {(f8f7 b1b2 e6c7 b2a1
f7f8 a1b2) +7.68/15 1} 65. Qa1 Ke7 {(f7e7 a1b2) +7.67/15 1} 66. Qab1 Ngf7
{(g5f7 b1b2 e6g5 d1e1 f7d6 b2a1 e7e8 a1b2 d6f7 e1d1 f7d6) +7.66/15 1} 67.
Qa1 Kd8 {(e7d8 a1b2 e6g5 h1h2 f7d6 b2a1 d8e8 a1b2 d6f7 b2a1 e8e7 a1b2 f7d6)
+7.63/13} 68. Qab1 Neg5 {(e6g5 b1a2 f7d6 h1h2 d8e8 a2b1 d6f7 h2h1 e8e7 h1h2
f7d6 b1a2 e7e6 a2b1) +7.66/14} 69. Qa1 Ke7 {(d8e7 a1a2 f7d6 a2b1 e7e8 b1a2
d6f7 a2b1 e8f8 b1a2 f7d6 a2b1 f8f7 b1a2) +7.64/15 1} 70. Qab1 Ke6 {(e7e6
b1c1 f7d6 c1b2 e6e7 h1h2 d6f7 b2a1 e7e8 a1b2) +7.69/15 1} 71. Qa1 Kd6
{(e6d6 a1b2 d6c7 b2a1 f7d6 a1b2 c7c8 f1e1 d6f7 b2a1 c8b8 e1f1 f7d6)
+7.65/14 1} 72. Qab1 Kc7 {(d6c7 b1a2 f7d6 h1h2 c7c8 h2h1 d6f7 f1g1 c8d8
g1f1 f7d6) +7.63/15} 73. Qa1 Kb8 {(c7b8 a1a2 f7d6 h1h2 b8b7 h2h1 d6f7 f1g1
b7b6) +7.67/14} 74. Qab1 Ka8 {(b8a8 b1a2 f7d6 a2b1 a8b8 b1a2) +7.68/15} 75.
Qa1 Ne6 {(g5e6 a3a4 a8b7 a4b5 a6b5 a1b2 e6g5 f1g1 f7d6 b2a3 b7b8 a3b2 d6f7)
+7.69/14 1} 76. Qab1 Ka7 {(a8a7 b1a2 e6g5 a2b1 f7d6 h1h2 a7a8) +7.68/13 1}
77. Qa1 N7d6 {(f7d6 a3a4 a7b7 a4b5 a6b5 f1g1 e6g5 a1b2 d6f7 g1h2 b7b8 h2g1
f7d6) +7.67/13} 78. Qab1 Ng5 {(e6g5 b1a2 d6f7 a2b1 a7b7 h1h2 b7b6 h2h1 f7d6
h1h2 b6b7 b1b2) +7.67/14} 79. Qa1 Ndf7 {(d6f7 a1b2 a7b7 h1h2 b7b8 h2h1
f7d6) +7.66/15 1} 80. Qab1 Kb7 {(a7b7 b1c1 f7d6 h1h2 b7b8 h2h1 b8c8 c1b1
d6f7 b1a2 c8b7) +7.66/15 1} 81. Qa1 Na7 {(c6a7 a1b1 f7d6 h1h2 a7c6 b1a2
d6f7 a4b5 a6b5 b1a2 f7d6 a2b1) +7.67/14} 82. Qab1 Kb6 {(b7b6 a3a4 a7c6 a4b5
a6b5 b1a2 b6b7) +7.64/13} 83. Qa1 N7d6 {(f7d6 h1g1 a7c6 a1b2 b6b7 b2a1 b7b8
g1h2 d6f7 f1e1 b8b7 e1f1 b7b6 a1b2) +7.65/14} 84. Qab1 Kc7 {(b6c7 a3a4 a7c6
a4b5 a6b5 b1b2 d6f7 f1g1 c7c8 g1f1 f7d6 f1g1 c8d8 g1f1) +7.67/14} 85. Qa1
Nac6 {(a7c6 h1g1 c7c8 f1e1 d6f7 e1f1 c8b8 g1h1 f7d6 a1b2 b8b7) +7.66/14 1}
86. Qab1 Kb7 {(c7b7 h1g1 d6f7 b1a2 b7b8 g1h2 f7d6 a2b1 b8c8) +7.69/13} 87.
Qa1 Ka7 {(b7a7 h1g1 d6f7 a1b2 a7a8 b2a1 f7d6) +7.66/14} 88. Qab1 a5 {(a6a5
h1g1 a5b4 a3b4 a7b7 b1a2 d6f7 g1h2 b7b8 h2g1 f7d6 a2b1 b8c8 b1a2) +7.64/14}
89. Qa1 N7b6 {(d7b6 h1g1 a5b4 a3b4 a7b7 a1b2 b6d7 b2a3 d6f7 a3b2 b7b8 g1h2)
+7.66/13} 90. Qab1 Ngf7 {(g5f7 b1c1 a5b4 a3b4 f7g5 c1a3 a7b7 f1e1 b6d7 e1f1
b7c7 a3b2 d6f7) +7.67/13} 91. Qg1 Ka6 {(a7a6 b1a1 b6d7 g1h1 a5b4 a3b4 a6b6
a1b2 f7g5 b2a3 d6f7 h1h2) +7.61/13} 92. Qh1 a4 {(a5a4 b1a1 f7g5 a1b2 b6d7
b2a1 d6f7 f1g1 a6a7 a1b2 f7d6 b2a1) +7.60/13} 93. Qg1 Nbd7 {(b6d7 b1a1
f7g5) +7.67/13} 94. Qh1 Ka7 {(a6a7 b1a1 f7g5) +7.63/14} 95. Qg1 Ng5 {(f7g5
b1a2 d6f7 f1e1 a7a8) +7.66/14} 96. Qh1 Kb6 {(a7b6 b1c1 d6f7 c1b2 b6b7 b2a1
f7d6) +7.67/14} 97. Qg1 Ne8 {(d6e8 f1e1 b6b7 e1f1 e8d6 g1h2 d6f7 b1a2 b7b8
a2b1) +7.62/12} 98. Qh1 Nec7 {(e8c7 f1e1 c7e6 b1a2 b6b7 e1f1 e6c7 a2b1 b7b8
b1a2 c7e6 a2b1 b8c8 b1a2) +7.65/14} 99. Qg1 Ka7 {(b6a7 f1e1 a7a8 g1h1 c7e6
b1a2 a8a7 a2b1 a7a6 h1g1 e6c7 b1a2 c7e6) +7.69/13} 100. Qh1 N5b6 {(d5b6
f1e1 a7a8 h1g1 b6d5) +7.62/13} *
[/pgn]