How powerful is the Queen compared to 2 Rooks ?

Discussion of computer chess matches and engine tournaments.

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hgm
Posts: 28378
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Full name: H G Muller

Re: How powerful is the Queen compared to 2 Rooks ?

Post by hgm »

Nordlandia wrote: ↑Wed Jan 30, 2019 1:43 pm Your implying black is the favourable side here.

[d]2a2k4/pppppppppp/10/10/10/10/PPPPPPPP1P/4QK4 w - - 8 8

For the queen white has archbishop + pawn as compensation.

[d]rn1bqkbcnr/pppppppp1p/10/10/10/10/PPPPPPPPPP/RNAB1KNCNR w - - 8 8

Capablanca Chess Pieces in staunton:

I have to say that the chancellor looks pretty much like the queen. It resembles more like an amazon if you ask me.

Image

Definitely in the second position, which I extensively tested. With the first-move advantage averaged out, this scores about 54% in favor of the Archbishop. The first one I never tried; it doesn't really look tactically quiet, because there are so many Pawns that it will be impossible to protect them all, so that is likely to turn into a race who can capture the most. It also is a very unnatural position to have all Pawns on their starting rank with almost all piece material traded off. In practice you would be dealing with Pawn chains that already have some coherence, and about half the Pawns already gone. To 5 vs 6 Pawns would be more representative.
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Chessqueen
Posts: 5685
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Full name: Jorge Picado

Re: How powerful is the Queen compared to 2 Rooks ?

Post by Chessqueen »

Nordlandia wrote: ↑Mon Jan 28, 2019 11:26 am While two bishops + two pawns is stronger than rook and knight.

Example position: Stockfish is capable of beating Komodo as white here.

[d]5rk1/pp2npp1/7p/8/8/1B1PB1P1/PP2PP1P/6K1 b - - 0 1
But if you take the d3 pawn it will end up in a draw :shock:

Here it is, I decided to stopped it since it is obvious that it will be a draw :shock:

[pgn][Event "Computer chess game"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2019.01.30"]
[Round "?"]
[White "Stockfish_10_x64"]
[Black "Stockfish_10_x64"]
[Result "*"]
[BlackElo "?"]
[Time "13:08:13"]
[WhiteElo "?"]
[TimeControl "600"]
[SetUp "1"]
[FEN "5rk1/pp2npp1/7p/8/8/1B2BPP1/PP2P2P/6K1 w - - 4 1"]
[Termination "unterminated"]
[PlyCount "97"]
[WhiteType "program"]
[BlackType "program"]

1. Bxa7 {(Be3xa7 Rf8-d8 Ba7-e3 Ne7-f5 Kg1-f2 Nf5xe3 Kf2xe3 g7-g5 Bb3-c2
Kg8-g7 a2-a4 Kg7-f6 b2-b4 b7-b6 Bc2-b3 Rd8-c8 Ke3-d2 Rc8-d8+) 0.00/27 8}
Rd8 {(Rf8-d8 Ba7-e3 Ne7-f5 Kg1-f2 Nf5xe3 Kf2xe3 g7-g5 a2-a4 Kg8-g7 Bb3-c2
Kg7-f6 b2-b4 b7-b6 Bc2-d3 Rd8-a8 Bd3-b5 Kf6-e5 f3-f4+ Ke5-e6 Ke3-e4 g5xf4
g3xf4 Ra8-c8 Ke4-d4 Rc8-d8+ Kd4-e3 Rd8-d1 a4-a5 b6xa5 b4xa5 Rd1-a1 Bb5-c4+
Ke6-f5) +0.21/29 13} 2. Be3 {(Ba7-e3 Ne7-f5 Kg1-f2 Nf5xe3 Kf2xe3 g7-g5
Bb3-c2 Kg8-g7 a2-a4 Kg7-f6 b2-b4 b7-b6 Bc2-b3 Rd8-c8 Ke3-d2 Rc8-d8+ Kd2-c2
Rd8-c8+) 0.00/29 6} Nf5 {(Ne7-f5 Kg1-f2 Nf5xe3 Kf2xe3 g7-g5 a2-a4 Kg8-g7
Bb3-c2 Kg7-f6 Bc2-d3 b7-b6 b2-b3 Kf6-e5 f3-f4+ g5xf4+ g3xf4+ Ke5-d6 b3-b4
Rd8-a8 Bd3-c2 Ra8-g8 Bc2-b3 Rg8-g1 Bb3xf7 Rg1-a1 a4-a5 b6xa5 b4xa5 Ra1xa5
Ke3-f3 Ra5-b5 e2-e4 Rb5-b2 e4-e5+ Kd6-e7 Bf7-c4 Rb2xh2) +0.21/29 6} 3. Kf2
{(Kg1-f2 Nf5xe3 Kf2xe3 g7-g5 Bb3-c2 Kg8-g7 a2-a4 Kg7-f6 b2-b4 b7-b6 Bc2-d3
Rd8-a8 Bd3-b5 Ra8-d8) 0.00/29 4} Nxe3 {(Nf5xe3 Kf2xe3 g7-g5 a2-a4 Rd8-d6
Bb3-c2 Rd6-b6 b2-b3 Kg8-g7 Ke3-d4 Kg7-f6 Kd4-c3 Rb6-c6+ Kc3-d2 b7-b6 e2-e3
Rc6-c8 b3-b4 Kf6-e5 f3-f4+ g5xf4 g3xf4+ Ke5-d6 Bc2-d3 Rc8-g8 Bd3-c4 Rg8-g2+
Kd2-c3 f7-f5 a4-a5 b6xa5 b4xa5 Rg2xh2 a5-a6) +0.21/28 7} 4. Kxe3 {(Kf2xe3
g7-g5 Bb3-c2 Kg8-g7 a2-a4 Kg7-f6 b2-b4 b7-b6 Bc2-d3 Rd8-a8 Bd3-b5 Ra8-d8)
0.00/30 8} g5 {(g7-g5 a2-a4 Kg8-g7 Bb3-c2 Kg7-f6 b2-b4 b7-b6 Bc2-d3 Rd8-a8
Bd3-b5 Kf6-e5 f3-f4+ Ke5-d5 Ke3-d3 f7-f5 Bb5-d7 Kd5-d6 Bd7xf5 Ra8xa4 Kd3-c4
Ra4-a1 Bf5-e4 Ra1-f1 Be4-f3 Rf1-f2 f4xg5 h6xg5 Kc4-b5 Rf2xh2 Kb5xb6 Kd6-e7)
+0.19/30 10} 5. Bc2 {(Bb3-c2 Kg8-g7 a2-a4 Kg7-f6 b2-b4 b7-b6 Bc2-d3 Rd8-a8
Bd3-b5 Ra8-d8 Bb5-d3) 0.00/28 5} Rc8 {(Rd8-c8 Ke3-d2 Kg8-g7 a2-a4 b7-b6
Bc2-f5 Rc8-d8+ Bf5-d3 Kg7-f6 b2-b3 Kf6-e5 Kd2-e3 Rd8-e8 b3-b4 Re8-a8 f3-f4+
Ke5-f6 Bd3-b5 g5xf4+ g3xf4 Ra8-d8 Bb5-d3 Rd8-d5 h2-h4 Rd5-h5 Bd3-e4 Rh5xh4
a4-a5 b6xa5 b4xa5 Rh4-h5) +0.32/28 10} 6. Kd2 {(Ke3-d2 Kg8-g7 a2-a4 b7-b6
h2-h3 Kg7-f6 b2-b4 Kf6-e5 e2-e3 f7-f5 f3-f4+ g5xf4 g3xf4+ Ke5-e6 Bc2-d3
Rc8-a8 Bd3-b5 Ke6-d5 h3-h4 Ra8-a7 Kd2-e2 Kd5-d6 Ke2-f3 Ra7-c7 Bb5-d3 Rc7-c3
Bd3xf5 Rc3-a3 a4-a5 b6xa5 b4xa5 Ra3xa5 Bf5-d3) -0.05/31 43} Kg7 {(Kg8-g7
a2-a4 b7-b6 Bc2-f5 Rc8-d8+ Bf5-d3 Kg7-f6 b2-b3 Kf6-e5 e2-e3 f7-f5 f3-f4+
Ke5-e6 Kd2-c3 Rd8-c8+ Kc3-d2 Rc8-a8 Bd3-b5 Ra8-d8+ Bb5-d3 Rd8-c8 Bd3-c4+
Ke6-f6 Bc4-d3 Rc8-a8 Kd2-c3 h6-h5 Kc3-b4 Ra8-e8 Kb4-b5 Re8xe3 Bd3-c4 g5xf4
g3xf4 Re3-f3 Kb5xb6) +0.23/27 7} 7. a4 {(a2-a4 b7-b6 Bc2-d3 Kg7-f6 b2-b4
Rc8-a8 Bd3-b5 Kf6-e5 e2-e3 f7-f5 f3-f4+ Ke5-d5 h2-h4 g5xh4 g3xh4 Ra8-a7
Kd2-e2 Kd5-d6 Ke2-d2 h6-h5 Bb5-e8 Ra7-e7 Be8xh5 Re7-e4 Bh5-g6 Kd6-e6 a4-a5
Re4xb4 a5xb6 Rb4xb6 h4-h5 Rb6-b2+ Kd2-d3 Rb2-h2 e3-e4) -0.09/29 8} b6
{(b7-b6 b2-b3 Kg7-f6 Bc2-d3 Kf6-e5 e2-e3 f7-f5 f3-f4+ Ke5-e6 Bd3-c4+ Ke6-f6
Kd2-d3 Rc8-d8+ Kd3-c3 Rd8-a8 Kc3-b4 Ra8-a5 Kb4-c3 g5-g4 Bc4-b5 Ra5-a7
Kc3-d2 Ra7-e7 Bb5-d3 Re7-e8 b3-b4 Re8-a8 Bd3-b5 Ra8-d8+ Bb5-d3) +0.23/26 8}
8. Bd3 {(Bc2-d3 Kg7-f6 b2-b4 Rc8-a8 Bd3-b5 Kf6-e5 e2-e3 f7-f5 f3-f4+ Ke5-d5
h2-h4 g5xh4 g3xh4 Ra8-a7 Kd2-e2 Kd5-d6 Ke2-d2) 0.00/28 4} Kf6 {(Kg7-f6
b2-b3 Rc8-c7 e2-e3 Kf6-e6 h2-h3 f7-f5 g3-g4 f5-f4 e3xf4 g5xf4 h3-h4 Ke6-e5
Bd3-e4 Ke5-f6 Be4-c2 Rc7-a7 Kd2-c3 Ra7-e7 Bc2-e4 Re7-c7+ Kc3-d2 Rc7-a7
Kd2-c3) +0.20/24 6} 9. b4 {(b2-b4 Rc8-a8 Bd3-b5 Kf6-e5 e2-e3 Ra8-d8+ Bb5-d3
Rd8-c8 h2-h3 Rc8-a8 Bd3-b5 f7-f5 f3-f4+ g5xf4 g3xf4+ Ke5-d5 h3-h4 Ra8-a7
Kd2-e2 Kd5-d6 Ke2-d2) 0.00/29 6} Ra8 {(Rc8-a8 Bd3-b5 Kf6-e5 e2-e3 Ra8-a7
Kd2-e2 Ra7-c7 Ke2-d2 f7-f5 f3-f4+ Ke5-e6 Kd2-d3 Ke6-d5 Kd3-d2 g5-g4 Bb5-d3
Rc7-a7 a4-a5 b6xa5 b4xa5 Ra7xa5 Bd3xf5 Ra5-a2+ Kd2-d3 Ra2-a3+ Kd3-e2)
+0.37/22 4} 10. Bb5 {(Bd3-b5 Kf6-e5 e2-e3 Ra8-d8+ Bb5-d3 Rd8-c8 h2-h3
Rc8-a8 Bd3-b5 f7-f5 f3-f4+ g5xf4 g3xf4+ Ke5-d5 h3-h4 Ra8-a7 Kd2-e2 Kd5-d6
Ke2-d2 h6-h5 Bb5-e8 Ra7-a8 Be8-b5 Kd6-e6 Kd2-d3 Ke6-d5 Kd3-d2 Ra8-a7 Kd2-e2
Kd5-d6 Ke2-d2 Ra7-g7 a4-a5 b6xa5) 0.00/30 6} Ke5 {(Kf6-e5 e2-e3 Ke5-d5
g3-g4 Kd5-e5 Kd2-d3 Ra8-d8+ Kd3-c3 Rd8-c8+ Bb5-c4 Rc8-c7 Kc3-d3 Rc7-d7+
Kd3-c3 Rd7-a7 Bc4-b5 Ra7-c7+ Bb5-c4 f7-f5 g4xf5 Ke5xf5 Kc3-d4 Rc7-a7 Bc4-b5
Kf5-e6 Kd4-c4 Ke6-d6 f3-f4 Ra7-c7+ Kc4-d3 g5xf4 e3xf4 Rc7-c1 Kd3-d4)
+0.28/25 10} 11. e3 {(e2-e3 f7-f6 h2-h3 Ra8-d8+ Bb5-d3 h6-h5 f3-f4+ g5xf4
g3xf4+ Ke5-d5 a4-a5 b6xa5 b4xa5 Rd8-g8 a5-a6 Rg8-g1 h3-h4 Rg1-a1 Kd2-c3
Kd5-c5 Bd3-e2 Kc5-b6 Kc3-d4 Ra1-h1 Be2xh5 Rh1xh4 Bh5-f7 Rh4-h7 Bf7-e6
Kb6xa6 Kd4-c5 Rh7-h5+ Kc5-d6 Ka6-b6 Kd6-e7) -0.09/29 12} Rc8 {(Ra8-c8
Bb5-f1 Ke5-d5 Bf1-d3 Rc8-c7 Bd3-f1 f7-f5 h2-h4 g5xh4 g3xh4 Rc7-a7 Bf1-b5
f5-f4 e3xf4 Kd5-d4 f4-f5 Kd4-e5 Kd2-e3 Ke5xf5 Bb5-d3+ Kf5-f6 Bd3-b5 Kf6-g6
Bb5-e8+ Kg6-f5 Be8-c6 Ra7-e7+ Ke3-d4 Re7-e2 Kd4-c4 Kf5-f4 a4-a5 b6xa5 b4xa5
Re2-c2+ Kc4-b5) +0.30/27 17} 12. Be2 {(Bb5-e2 Rc8-a8 Be2-b5 f7-f6 h2-h3
Ra8-d8+ Bb5-d3 h6-h5 f3-f4+ g5xf4 g3xf4+ Ke5-d5 a4-a5 b6xa5 b4xa5 Rd8-g8
a5-a6 Rg8-g1 h3-h4 Rg1-a1 Kd2-c3 Kd5-c5 Bd3-e2 Kc5-b6 Kc3-d4 Ra1-h1 Be2xh5
Rh1xh4 Bh5-f7 Rh4-h7 Bf7-e6 Kb6xa6 Kd4-c5 Rh7-h5+ Kc5-d6 Ka6-b6 Kd6-e7)
-0.09/29 8} Kd5 {(Ke5-d5 Be2-a6 Rc8-c7 Ba6-d3 h6-h5 h2-h4 f7-f6 Bd3-b5
Rc7-g7 a4-a5 b6xa5 b4xa5 Rg7-g8 f3-f4 g5xf4 g3xf4 Rg8-b8 Bb5-d3 Rb8-b2+
Kd2-c3 Rb2-h2 e3-e4+ Kd5-c5 a5-a6 Rh2-a2 e4-e5 Ra2-a3+ Kc3-d2 f6xe5 f4xe5
Kc5-d5) +0.25/26 11} 13. Ba6 {(Be2-a6 Rc8-c7 Ba6-d3 Rc7-a7 Bd3-b5 f7-f5
h2-h3 Kd5-e6 f3-f4 g5xf4 g3xf4 Ke6-d5 h3-h4 Kd5-d6 h4-h5 Kd6-d5 Kd2-d3
Ra7-e7 a4-a5 b6xa5 Bb5-c4+ Kd5-c6 b4xa5 Kc6-c5 a5-a6 Kc5-b6 Bc4-d5 Kb6xa6
e3-e4) -0.09/26 5} Rc7 {(Rc8-c7 Ba6-f1 Kd5-d6 h2-h3 Kd6-e5 Bf1-d3 Ke5-d5
Bd3-e2 f7-f5 Be2-d3 g5-g4 h3xg4 f5xg4 f3-f4 h6-h5 a4-a5 b6xa5 b4xa5 Rc7-c5
a5-a6 Rc5-a5 Kd2-c3 Kd5-c5 Bd3-g6 Ra5-a3+ Kc3-d2 h5-h4 g3xh4 g4-g3)
+0.32/25 7} 14. Bb5 {(Ba6-b5 f7-f5 f3-f4 Rc7-a7 h2-h4 Kd5-d6 f4xg5 h6xg5
h4xg5 Ra7-g7 a4-a5 b6xa5 b4xa5 Rg7xg5 Bb5-d3 Rg5xg3 Bd3xf5 Rg3-g2+ Kd2-c3
Kd6-c5 Bf5-d3 Rg2-a2 a5-a6 Ra2-a3+ Kc3-d2 Kc5-d5 Bd3-b5 Ra3-a1 Kd2-c3
Kd5-c5 Bb5-d3 Kc5-b6) -0.09/28 9} f5 {(f7-f5 f3-f4 g5xf4 g3xf4 Rc7-g7
Kd2-d3 Rg7-g1 Bb5-c4+ Kd5-c6 a4-a5 b6xa5 b4xa5 Rg1-d1+ Kd3-c3 Rd1-h1 a5-a6
h6-h5 Bc4-e6 Rh1xh2 Kc3-d4 h5-h4 a6-a7 Kc6-b7 Be6xf5 Rh2-f2 a7-a8Q+ Kb7xa8
Kd4-e5 Ka8-a7 e3-e4 Ka7-b6) +0.18/29 29} 15. f4 {(f3-f4 Rc7-g7 h2-h4 g5xh4
g3xh4 Rg7-g4 h4-h5 Rg4-g2+ Kd2-d3 Rg2-b2 Kd3-c3 Rb2-h2 a4-a5 b6xa5 b4xa5
Kd5-c5 Bb5-e8 Rh2-a2 Be8-g6 Ra2xa5 Bg6xf5 Ra5-a3+ Kc3-d2 Kc5-d6 Kd2-e2
Kd6-e7 e3-e4 Ra3-g3 e4-e5 Rg3-c3 Bf5-d3 Rc3-a3 Bd3-c2) -0.09/29 11} gxf4
{(g5xf4 g3xf4 Rc7-g7 Kd2-d3 Rg7-g1 Bb5-c4+ Kd5-c6 a4-a5 b6xa5 b4xa5 Rg1-h1
Bc4-e6 Rh1xh2 a5-a6 h6-h5 Kd3-d4 h5-h4 a6-a7 Kc6-b7 Be6xf5 Kb7xa7 Bf5-g4
Ka7-b6 f4-f5 Rh2-g2 Bg4-f3 Rg2-g3 Bf3-d5 Kb6-c7 f5-f6 Kc7-d6) +0.23/27 3}
16. gxf4 {(g3xf4 Rc7-g7 Bb5-f1 Rg7-a7 Bf1-b5 Kd5-d6 h2-h4 h6-h5 Bb5-e8
Ra7-a8 Be8-b5) 0.00/30 3} Rg7 {(Rc7-g7 Kd2-d3 Rg7-g1 Bb5-c4+ Kd5-c6 a4-a5
b6xa5 b4xa5 Rg1-h1 a5-a6 Rh1xh2 Kd3-d4 Kc6-b6 Kd4-e5 Rh2-h3 Bc4-d5 Rh3xe3+
Ke5xf5 Re3-a3 Kf5-g6 Ra3xa6 f4-f5 Kb6-c5+ Bd5-e6 Kc5-d6 Kg6xh6 Ra6-a3
Kh6-g6 Ra3-g3+ Kg6-f7 Kd6-e5) +0.15/27 6} 17. Bf1 {(Bb5-f1 Rg7-a7 Bf1-b5
Kd5-d6 h2-h4 h6-h5 Bb5-e8 Kd6-e6 Be8-c6 Ra7-c7 Bc6-b5 Ke6-d6 Bb5-e2 Rc7-a7
Be2-b5 Kd6-d5 Kd2-e2 Kd5-d6) 0.00/30 4} Ra7 {(Rg7-a7 Bf1-b5 Kd5-e6 h2-h4
Ke6-d6 h4-h5 Kd6-d5 Kd2-e2 Kd5-e6 Ke2-d3 Ra7-a8 Kd3-d4 Ra8-d8+ Kd4-c4
Rd8-c8+ Kc4-d3 Ke6-d6 Bb5-c4 Rc8-c7 a4-a5 b6xa5 b4xa5 Rc7-a7 a5-a6 Kd6-c5
Bc4-e6 Ra7xa6 Be6xf5 Ra6-a4 Bf5-h3 Ra4-a2 Bh3-g4 Ra2-a3+ Kd3-e2 Kc5-d5
Bg4-f3+ Kd5-d6 e3-e4 Kd6-e7 Bf3-g4) +0.09/31 13} 18. Bb5 {(Bf1-b5 Kd5-d6
h2-h4 h6-h5 Bb5-e8 Kd6-e6 Be8-c6 Ra7-c7 Bc6-b5 Ke6-d5 Bb5-d3 Rc7-a7 Bd3-b5)
0.00/32 6} Re7 {(Ra7-e7 Bb5-d3 Re7-a7 Bd3-b5 Kd5-d6 h2-h4 Kd6-e6 Kd2-d3
Ra7-a8 Kd3-d2 Ke6-e7 h4-h5 Ke7-d6 Kd2-d3 Ra8-c8 Kd3-d2 Rc8-b8 Kd2-d3 Rb8-a8
Kd3-c3 Ra8-d8 a4-a5 Rd8-c8+ Kc3-b3 b6xa5 b4xa5 Kd6-c5 Bb5-d7 Rc8-b8+ Kb3-c3
Rb8-a8) +0.09/30 6} 19. Bd3 {(Bb5-d3 Re7-a7 Bd3-b5 Kd5-d6 h2-h4 h6-h5
Bb5-e8 Kd6-e6 Be8-c6 Ra7-c7 Bc6-b5 Ke6-d5 Bb5-d3 Rc7-a7 Bd3-b5) 0.00/31 6}
Ra7 {(Re7-a7 Bd3-b5 Kd5-d6 h2-h4 Kd6-e6 Kd2-e2 Ra7-a8 Ke2-d3 Ra8-d8+ Kd3-c3
Rd8-c8+ Kc3-d2 Ke6-d6 h4-h5 Rc8-b8 Kd2-d3 Rb8-a8 Kd3-c3 Kd6-e6 Kc3-d2
Ke6-e7 Kd2-d3 Ra8-c8 Bb5-c4 Rc8-d8+ Kd3-c3 Rd8-a8 Bc4-b5 Ke7-d6 Kc3-d3
Ra8-a7 Kd3-d4) +0.09/31 5} 20. Bb5 {(Bd3-b5 Kd5-d6 h2-h4 h6-h5 Bb5-e8
Kd6-e6 Be8-c6 Ra7-c7 Bc6-b5 Ke6-d5 Bb5-d3 Rc7-a7 Bd3-b5) 0.00/34 6} Ke6
{(Kd5-e6 Kd2-d3 Ra7-a8 h2-h4 Ra8-d8+ Kd3-c3 Rd8-c8+ Kc3-d2 Ke6-d6 h4-h5
Rc8-b8 Kd2-d3 Rb8-a8 Kd3-c3 Kd6-e6 Kc3-d2 Ke6-e7 Kd2-c3 Ra8-c8+ Kc3-b3
Ke7-d6 a4-a5 b6xa5 b4xa5 Kd6-c5 Bb5-d7 Rc8-b8+ Kb3-c3 Rb8-a8 Bd7xf5 Ra8xa5
Kc3-d2 Ra5-a1 Bf5-c2 Kc5-d6 Bc2-g6 Ra1-a2+ Kd2-d3 Kd6-e7 e3-e4) +0.09/32 6}
21. Kd3 {(Kd2-d3 h6-h5 h2-h4 Ke6-d5 Bb5-e8 Ra7-a8 Be8-b5) 0.00/30 5} Kd6
{(Ke6-d6 Kd3-d4 Ra7-a8 h2-h4 Kd6-e6 h4-h5 Ra8-d8+ Kd4-c4 Ke6-d6 a4-a5
Rd8-c8+ Kc4-b3 b6xa5 b4xa5 Kd6-c5 Bb5-d7 Rc8-b8+ Kb3-c3 Rb8-a8 Bd7xf5
Ra8xa5 Kc3-d2 Ra5-a2+ Kd2-d3 Ra2-a3+ Kd3-e2 Kc5-d6 e3-e4 Kd6-c5 Ke2-f2
Kc5-d4 Kf2-e2 Ra3-b3 Ke2-f2 Rb3-c3 e4-e5 Kd4-d5 Bf5-d7 Kd5-e4) +0.09/31 5}
22. Kd4 {(Kd3-d4 Ra7-a8 h2-h4 Ra8-a7 h4-h5 Kd6-e6 Kd4-d3 Ke6-d5 Kd3-d2
Kd5-d6 Kd2-e2 Ra7-g7 a4-a5 b6xa5 b4xa5 Rg7-g2+ Ke2-f3 Rg2-a2 a5-a6 Ra2-a3
Bb5-c4 Kd6-c5 Bc4-e6 Ra3xa6 Be6xf5 Ra6-a3 Kf3-e2 Kc5-d5 Ke2-f3) 0.00/30 5}
Ra8 {(Ra7-a8 h2-h4 Kd6-e6 h4-h5 Ra8-d8+ Kd4-c4 Rd8-c8+ Kc4-d3 Ke6-d6 Kd3-d2
Rc8-b8 Kd2-d3 Rb8-g8 Bb5-c4 Rg8-e8 a4-a5 b6xa5 b4xa5 Re8-a8 a5-a6 Kd6-c5
Kd3-c3 Ra8-e8 Kc3-d3 Re8-e7 a6-a7 Re7-d7+ Kd3-e2 Rd7xa7 Bc4-e6 Kc5-d6
Be6xf5 Ra7-a3 Bf5-g6 Ra3-b3 e3-e4 Rb3-a3) +0.09/32 5} 23. h4 {(h2-h4 Ra8-a7
h4-h5 Kd6-e6 Kd4-d3 Ke6-d5 Kd3-d2 Kd5-d6 Kd2-e2 Ra7-c7 Ke2-d2) 0.00/33 9}
Rb8 {(Ra8-b8 Bb5-d3 Rb8-a8 Bd3-b5 Kd6-e6 h4-h5 Ra8-d8+ Kd4-c4 Rd8-c8+
Kc4-d3 Ke6-d6 Kd3-d2 Rc8-b8 Kd2-d3 Rb8-g8 Bb5-c4 Rg8-g1 a4-a5 b6xa5 b4xa5
Rg1-a1 a5-a6 Kd6-c5 Bc4-e6 Ra1xa6 Be6xf5 Ra6-a3+ Kd3-e2 Kc5-d6 Bf5-g6
Ra3-b3 e3-e4 Rb3-a3 Bg6-f5 Kd6-c5 Ke2-f2) +0.09/33 5} 24. Bd3 {(Bb5-d3
Rb8-a8 Bd3-c2 Ra8-a7 Bc2-b3 Ra7-c7 Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-c2
Ra7-a8 Bc2-b3 Ra8-b8 Bb3-c2) 0.00/33 5} Ra8 {(Rb8-a8 Bd3-b5 Kd6-e6 h4-h5
Ra8-d8+ Kd4-c4 Rd8-c8+ Kc4-d3 Ke6-d6 Kd3-d2 Rc8-b8 Kd2-d3 Rb8-g8 Bb5-c4
Rg8-g1 a4-a5 b6xa5 b4xa5 Rg1-a1 a5-a6 Kd6-c5 Bc4-e6 Ra1xa6 Be6xf5 Ra6-a3+
Kd3-e2 Kc5-d6 Bf5-g6 Ra3-b3 Ke2-f3 Rb3-c3 Kf3-e2 Kd6-e6 e3-e4 Ke6-e7 Ke2-f2
Rc3-b3 e4-e5) +0.09/34 5} 25. Bc2 {(Bd3-c2 Ra8-a7 Bc2-b3 Ra7-c7 Bb3-c4
Rc7-e7 Bc4-d3 Re7-a7 Bd3-c2 Ra7-a8 Bc2-b3 Ra8-b8 Bb3-c2) 0.00/36 6} Ra7
{(Ra8-a7 Bc2-b3 Ra7-c7 Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-b5 Ra7-a8 Kd4-c3
Kd6-d5 Kc3-d3 Ra8-a7 Kd3-e2 Kd5-d6 Ke2-d2 Kd6-e6 Kd2-e2 Ra7-a8 Ke2-d3
Ra8-d8+ Kd3-c3 Rd8-c8+ Kc3-d2 Ke6-d6 h4-h5 Rc8-b8 Kd2-d3 Rb8-a8 Kd3-c3
Kd6-d5 Kc3-d2 Ra8-a7 Kd2-e2 Kd5-d6 Ke2-d2) +0.09/35 6} 26. Bb3 {(Bc2-b3
Ra7-e7 Bb3-c2 Kd6-e6 Bc2-d3 Re7-a7 Bd3-c4+ Ke6-e7 Bc4-b5 Ke7-d6 h4-h5
Kd6-e6 Kd4-c4 Ra7-c7+ Kc4-d4 Rc7-a7) 0.00/37 25} Re7 {(Ra7-e7 Bb3-c2 Re7-a7
Bc2-b3 Ra7-c7 Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-b5 Ra7-a8 Kd4-c3 Kd6-d5
Kc3-d3 Ra8-a7 Kd3-e2 Kd5-d6 Ke2-d2 Kd6-e6 Kd2-e2 Ra7-a8 Ke2-d3 Ra8-d8+
Kd3-c3 Rd8-c8+ Kc3-d2 Ke6-d6 h4-h5 Rc8-b8 Kd2-d3 Rb8-a8 Kd3-c3 Kd6-d5
Kc3-d3 Ra8-a7 Kd3-e2 Kd5-d6 Ke2-d2) +0.09/37 5} 27. Bc2 {(Bb3-c2 Re7-a7
Bc2-b3 Ra7-c7 Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-c2 Ra7-a8 h4-h5 Ra8-a7 Bc2xf5
Ra7xa4 Kd4-c4 Ra4-a2 Bf5-g6 Ra2-f2 Kc4-b5 Rf2-f3 Kb5xb6 Rf3xe3 f4-f5 Re3-f3
b4-b5 Rf3-f4 Kb6-b7 Rf4-b4 Kb7-b6) 0.00/40 6} Ra7 {(Re7-a7 Bc2-b3 Ra7-c7
Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-b5 Ra7-a8 Kd4-c3 Kd6-d5 Kc3-d3 Ra8-a7
Kd3-e2 Kd5-d6 Ke2-d2 Kd6-e6 Kd2-e2 Ra7-a8 Ke2-d3 Ra8-d8+ Kd3-c3 Rd8-c8+
Kc3-d2 Ke6-d6 h4-h5 Rc8-b8 Kd2-d3 Rb8-g8 Bb5-c4 Rg8-g1 a4-a5 b6xa5 b4xa5
Rg1-a1 a5-a6 Kd6-c5 Bc4-e6 Ra1xa6) +0.09/36 17} 28. Bb3 {(Bc2-b3 Ra7-c7
Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-c2 Ra7-a8 h4-h5 Ra8-a7 Bc2xf5 Ra7xa4 Kd4-c4
Ra4-a3 Bf5-d3 Ra3-a2 Bd3-g6 Ra2-h2 Kc4-b5 Kd6-c7 Kb5-c4 Kc7-c6 Bg6-e4+
Kc6-d6 Be4-g6) 0.00/39 5} Rc7 {(Ra7-c7 Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-b5
Ra7-a8 Kd4-c3 Ra8-c8+ Kc3-d2 Kd6-e6 Kd2-d3 Ke6-e7 Kd3-d2 Ke7-d6 h4-h5
Rc8-b8 Kd2-d3 Rb8-g8 Bb5-c4 Rg8-g1 a4-a5 b6xa5 b4xa5 Rg1-a1 a5-a6 Kd6-c5
Bc4-e6 Ra1xa6 Be6xf5 Ra6-a3+ Kd3-e2 Kc5-d6 Bf5-g6 Ra3-b3 Ke2-f3 Kd6-e7
Kf3-e2 Ke7-f6 Bg6-d3 Rb3-c3 e3-e4 Rc3-a3 e4-e5+ Kf6-e6) +0.09/37 6} 29. Bc4
{(Bb3-c4 Rc7-e7 Bc4-d3 Re7-a7 Bd3-c2 Ra7-a8 h4-h5 Ra8-a7 Bc2xf5 Ra7xa4
Kd4-c4 Ra4-a2 Bf5-g6 Ra2-h2 Kc4-b5 Kd6-c7 Kb5-c4 Kc7-c6 Bg6-e4+ Kc6-d6
Be4-g6 Rh2-h4 Kc4-d4 Rh4-h2) 0.00/39 8} Re7 {(Rc7-e7 Bc4-d3 Re7-a7 Bd3-b5
Ra7-a8 h4-h5 Ra8-a7 e3-e4 f5xe4 Kd4xe4 Kd6-e6 Bb5-c4+ Ke6-f6 Bc4-b5 Kf6-e6)
0.00/35 6} 30. a5 {(a4-a5 Re7-e4+ Kd4-d3 b6xa5 b4xa5 Kd6-c5 Bc4-b3 Re4-e8
Bb3-c2 Re8-a8 Kd3-e2 Ra8xa5 Bc2xf5 Kc5-d6 e3-e4 Kd6-e7 Ke2-f3 h6-h5 Bf5-g6
Ra5-a3+ Kf3-g2 Ra3-e3 Bg6xh5 Re3xe4 Kg2-g3 Ke7-f6 Bh5-f3 Re4-e8 Bf3-c6
Re8-g8+ Kg3-f3 Rg8-c8 Bc6-d5 Rc8-c5 Bd5-e4 Rc5-b5 Kf3-g4 Rb5-b4 Kg4-f3
Rb4-b3+ Kf3-g4) 0.00/39 23} Re4+ {(Re7-e4+ Kd4-d3 b6-b5 Bc4xb5 Re4xb4
Bb5-c4 Rb4-a4 a5-a6 Ra4-a5 h4-h5 Ra5-a1 Kd3-c3 Kd6-c5 Bc4-d3 Ra1-a3+ Kc3-d2
Ra3-a2+ Kd2-d1 Kc5-d6 Bd3xf5 Ra2xa6 Kd1-e2 Ra6-a3 e3-e4 Kd6-e7 e4-e5 Ra3-g3
Ke2-f2 Rg3-b3 Bf5-g4 Rb3-a3 Kf2-e2 Ra3-a1 Ke2-f2) 0.00/30 5} 31. Kd3
{(Kd4-d3 b6xa5 b4xa5 Kd6-c5 Bc4-b3 Re4-e8 Bb3-c2 Re8-a8 Kd3-e2 Ra8xa5
Bc2xf5 Kc5-d6 e3-e4 Ra5-a3 e4-e5+ Kd6-d5 Ke2-f2 Ra3-a4 Kf2-f3 h6-h5 Bf5-d3
Ra4-a3 Kf3-e3 Ra3-b3 Ke3-e2 Rb3-b4 Ke2-f3 Rb4-a4 Bd3-f5 Ra4-a3+ Kf3-e2
Ra3-a2+ Ke2-e3 Ra2-h2 Bf5-e4+ Kd5-e6 Ke3-d4 Rh2xh4 f4-f5+ Ke6-f7 Kd4-e3
Rh4-h3+ Ke3-f4 Rh3-h4+) 0.00/39 8} b5 {(b6-b5 Bc4xb5 Re4xb4 Bb5-c4 Rb4-a4
a5-a6 Kd6-c5 Bc4-e6 Ra4xa6 Be6xf5 Ra6-a3+ Kd3-e4 Kc5-d6 Bf5-g6 Kd6-e6 h4-h5
Ke6-f6 Ke4-d4 Ra3-a4+ Kd4-d3 Ra4-a1 e3-e4 Ra1-a3+ Kd3-d4 Ra3-a4+ Kd4-c5
Kf6-e6 Bg6-f5+ Ke6-e7 Kc5-d5 Ra4-a5+ Kd5-d4 Ke7-f6 Bf5-g4 Ra5-a4+ Kd4-e3
Ra4-a3+ Ke3-e2 Ra3-c3 e4-e5+ Kf6-f7 Bg4-f3 Kf7-e6 Bf3-g4+) 0.00/34 6} 32.
Bxb5 {(Bc4xb5 Re4xb4 Bb5-c4 Rb4-a4 a5-a6 Kd6-c5 Bc4-e6 Ra4-a3+ Kd3-e2
Ra3xa6 Be6xf5 Kc5-d6 e3-e4 Ra6-a3 Bf5-g4 Kd6-c5 Ke2-f2 Kc5-d4 Bg4-f5
Ra3-a2+ Kf2-f3 h6-h5 e4-e5 Ra2-a3+ Kf3-f2 Kd4-d5 Kf2-e2 Ra3-a2+ Ke2-e3
Ra2-a3+ Ke3-f2 Ra3-a1 Kf2-f3 Ra1-g1 Bf5-c2 Rg1-h1 Bc2-b3+ Kd5-d4 Bb3-f7
Rh1-h3+ Kf3-f2 Rh3xh4 Kf2-g3 Rh4-h1 Kg3-g2 Rh1-h4) 0.00/36 5} Rxb4 {(Re4xb4
Bb5-c4 Rb4-a4 a5-a6 Kd6-c5 Bc4-e6 Ra4xa6 Be6xf5 Ra6-a3+ Kd3-e4 Kc5-d6
Bf5-g6 Kd6-e6 h4-h5 Ke6-f6 Ke4-f3 Ra3-b3 Kf3-f2 Rb3-c3 e3-e4 Rc3-h3 Kf2-g2
Rh3-a3 Bg6-f5 Ra3-e3 Kg2-f2 Re3-b3 Bf5-g4 Kf6-e7 e4-e5 Rb3-c3 Kf2-e2 Rc3-a3
Bg4-f5 Ra3-g3 Ke2-f2 Rg3-a3 Bf5-g4) 0.00/37 5} 33. Bc4 {(Bb5-c4 Rb4-a4
a5-a6 Kd6-c5 Bc4-e6 Ra4-a3+ Kd3-e2 Ra3xa6 Be6xf5 Kc5-d6 e3-e4 Ra6-a3 Bf5-g4
Kd6-c5 Ke2-f2 Kc5-d4 Bg4-f5 Ra3-a2+ Kf2-f3 h6-h5 e4-e5 Ra2-a3+ Kf3-f2
Kd4-d5 Kf2-e2 Ra3-a2+ Ke2-e3 Ra2-a4 Ke3-f3 Ra4-a6 Kf3-g3 Ra6-a1 Bf5-d7
Ra1-a3+ Kg3-g2 Ra3-a2+ Kg2-f3 Ra2-a5 Kf3-f2 Ra5-a1) 0.00/39 7} Ra4 {(Rb4-a4
a5-a6 Kd6-c5 Bc4-e6 Ra4xa6 Be6xf5 Ra6-a3+ Kd3-e4 Kc5-d6 Bf5-g6 Kd6-e6 h4-h5
Ke6-f6 Ke4-f3 Ra3-b3 Kf3-f2 Rb3-c3 e3-e4 Rc3-h3 Kf2-g2 Rh3-a3 Bg6-f5 Ra3-e3
Kg2-f2 Re3-b3 Bf5-g4 Kf6-e7 e4-e5 Rb3-c3 Kf2-e2 Rc3-a3 Bg4-f5 Ke7-f7
Bf5-g6+ Kf7-e6 Bg6-d3 Ra3-c3 Ke2-d2 Rc3-a3) 0.00/38 5} 34. a6 {(a5-a6
Kd6-c5 Bc4-e6 Ra4-a3+ Kd3-e2 Ra3xa6 Be6xf5 Kc5-d6 e3-e4 Ra6-a3 Bf5-g4
Kd6-c5 Ke2-f2 Kc5-d4 Bg4-f5 Ra3-a2+ Kf2-f3 h6-h5 e4-e5 Ra2-a3+ Kf3-f2
Kd4-d5 Kf2-g2 Ra3-a2+ Kg2-g3 Ra2-a8 Kg3-f3 Ra8-a4 Kf3-e3 Ra4-a3+ Ke3-f2
Ra3-a1 Bf5-d3 Ra1-a2+ Kf2-f3 Ra2-a3 Kf3-e2 Ra3-a4 Ke2-f3 Ra4-a3) 0.00/40 7}
Kc6 {(Kd6-c6 Bc4-e6 Ra4xa6 Be6xf5 Ra6-a4 e3-e4 Kc6-c5 Kd3-e2 Ra4-a3 e4-e5
Kc5-d5 Ke2-f2 h6-h5 Kf2-e2 Ra3-a4 Ke2-f3 Ra4-a1 Bf5-e4+ Kd5-d4 Be4-b7
Ra1-b1 Bb7-c6 Rb1-b6 Bc6-d7 Kd4-d5 Bd7-f5 Rb6-b3+ Kf3-g2 Rb3-a3 Kg2-f2
Ra3-a1 Kf2-f3 Ra1-a4 Bf5-d7 Ra4-a3+ Kf3-g2 Ra3-e3 Bd7-f5) 0.00/36 9} 35.
Be6 {(Bc4-e6 Ra4xa6 Be6xf5 Ra6-a4 Bf5-g6 Kc6-d6 Kd3-e2 Ra4-a2+ Ke2-f3
Ra2-a3 h4-h5 Kd6-e7 Kf3-e2 Ke7-e6 e3-e4 Ke6-d6 Bg6-f7 Kd6-e7 Bf7-c4 Ke7-f6
Bc4-d3 Kf6-f7 Bd3-c4+ Kf7-e7 Bc4-d3 Ke7-f6 Ke2-e3 Kf6-e6 Ke3-d4 Ra3-a4+
Bd3-c4+ Ke6-f6 Kd4-c5 Ra4-a8 Bc4-e2 Ra8-d8 Be2-g4 Rd8-g8 Bg4-e2) 0.00/35 8}
Rxa6 {(Ra4xa6 Be6xf5 Ra6-a4 e3-e4 Kc6-c5 Kd3-e2 Ra4-a3 Bf5-g6 Kc5-d6 h4-h5
Kd6-c5 Bg6-f5 Kc5-d4 Ke2-f2 Ra3-c3 Bf5-g6 Rc3-d3 Kf2-e2 Rd3-a3 Bg6-f5
Ra3-e3+ Ke2-f2 Re3-d3 Bf5-g6 Rd3-c3 Kf2-g2 Kd4-c5 Bg6-f5 Kc5-d6 Kg2-f2
Rc3-a3 Bf5-g6 Kd6-e6 Kf2-g2 Ke6-f6 Kg2-f2) 0.00/36 5} 36. Bxf5 {(Be6xf5
Ra6-a4 Bf5-g4 Kc6-d6 h4-h5 Ra4-a3+ Kd3-e4 Ra3-b3 Bg4-d1 Rb3-a3 Ke4-d4
Ra3-a2 Bd1-g4 Ra2-a4+ Kd4-d3) 0.00/35 6} Kc5 {(Kc6-c5 Kd3-e4 Kc5-d6 Bf5-g6
Kd6-e7 h4-h5 Ra6-a3 Ke4-d4 Ra3-a4+ Kd4-d3 Ke7-d6 Kd3-e2 Kd6-d5 Ke2-f3
Ra4-a3 Bg6-f5 Ra3-b3 Bf5-e4+ Kd5-e6 Kf3-e2 Rb3-c3 Be4-d3 Rc3-c5 Bd3-g6
Ke6-d6 e3-e4 Rc5-c3 Bg6-f5 Kd6-c5 Bf5-g6 Kc5-d4 Ke2-f2 Rc3-d3 Kf2-e2 Rd3-a3
Ke2-f2) 0.00/37 8} 37. Ke4 {(Kd3-e4 Kc5-d6 Bf5-g4 Ra6-a3 h4-h5 Ra3-b3
Bg4-d1 Rb3-a3 Bd1-e2 Ra3-a1 Ke4-f3 Ra1-a3) 0.00/36 5} Kd6 {(Kc5-d6 Bf5-g6
Kd6-e7 h4-h5 Ra6-a3 Ke4-d4 Ra3-a4+ Kd4-d3 Ke7-d6 Bg6-f5 Ra4-a3+ Kd3-e2
Ra3-c3 Ke2-f2 Kd6-d5 Kf2-f3 Rc3-a3 Bf5-g6 Kd5-e6 Kf3-f2 Ke6-d6 Kf2-e2
Ra3-c3 e3-e4 Rc3-h3 Ke2-f2 Kd6-e7 Kf2-g2 Rh3-c3 Bg6-f5 Ke7-d6 Kg2-f2 Kd6-c5
Bf5-g6 Kc5-d6) 0.00/38 5} 38. Bg4 {(Bf5-g4 Ra6-a3 h4-h5 Ra3-b3 Ke4-d4
Rb3-b4+ Kd4-c3 Rb4-e4 Kc3-d3 Re4-a4 Bg4-d1 Ra4-a3+ Kd3-e4 Ra3-a5 Bd1-g4
Ra5-a3 Bg4-e2 Ra3-a5 Be2-d1 Ra5-a3) 0.00/37 5} Ra5 {(Ra6-a5 h4-h5 Ra5-a3
Ke4-d4 Ra3-a4+ Kd4-d3 Kd6-c5 Bg4-f3 Ra4-a3+ Kd3-e4 Kc5-d6 Bf3-e2 Ra3-b3
Be2-d1 Rb3-b5 Bd1-g4 Rb5-a5 Ke4-f3 Kd6-d5 Bg4-f5 Ra5-a3 Bf5-g6 Kd5-e6
Bg6-e4 Ke6-f6 Kf3-e2 Ra3-a5 Be4-g6 Ra5-a2+ Ke2-f3 Ra2-a3 Bg6-e4 Ra3-a5
Kf3-g4 Ra5-a3) 0.00/37 10} 39. h5 {(h4-h5 Ra5-a3 Bg4-e2 Ra3-a5 Be2-f3
Ra5-a4+ Ke4-d3 Ra4-a3+ Kd3-d4 Ra3-a4+) 0.00/37 5} Rb5 {(Ra5-b5 Ke4-f3
Kd6-d5 Bg4-f5 Rb5-b3 Bf5-e4+ Kd5-e6 Be4-g6 Ke6-d6 Kf3-e4 Rb3-c3 Ke4-d4
Rc3-a3 Bg6-f5 Ra3-a4+ Kd4-d3 Kd6-c5 Kd3-e2 Ra4-a3 Ke2-f3 Kc5-d5 Bf5-e4+
Kd5-e6 Kf3-f2 Ra3-a4 Be4-g6 Ra4-a1 Kf2-f3 Ra1-f1+ Kf3-g4 Rf1-g1+ Kg4-h4
Ke6-f6 e3-e4 Rg1-g2 Kh4-h3 Rg2-g1) 0.00/38 6} 40. Kd4 {(Ke4-d4 Rb5-b4+
Kd4-d3 Rb4-b3+ Kd3-e4 Rb3-a3 Ke4-d4 Ra3-a4+ Kd4-d3 Ra4-a3+) 0.00/39 6} Rd5+
{(Rb5-d5+ Kd4-e4 Rd5-b5 Ke4-f3 Kd6-d5 Bg4-f5 Rb5-b3 Bf5-e4+ Kd5-e6 Be4-g6
Ke6-d6 Kf3-e4 Rb3-c3 Ke4-d4 Rc3-a3 Bg6-f5 Ra3-a4+ Kd4-d3 Kd6-c5 Kd3-e2
Ra4-a3 Bf5-e4 Ra3-a2+ Ke2-f3 Ra2-a1 Be4-c2 Ra1-f1+ Kf3-e2 Rf1-c1 Bc2-g6
Rc1-c4 Ke2-f3 Rc4-c3 Bg6-f5 Kc5-d6 Bf5-g6 Rc3-a3 Kf3-e2 Kd6-e6 Ke2-f3)
0.00/40 9} 41. Ke4 {(Kd4-e4 Rd5-a5 Bg4-e2 Ra5-a3 Ke4-f3 Kd6-e6 Be2-c4+
Ke6-f6 Bc4-f1 Ra3-a5 Kf3-g4 Ra5-a4 Bf1-h3 Ra4-b4 Kg4-f3 Rb4-b3 Kf3-f2
Rb3-b2+ Kf2-g3 Rb2-b3 Kg3-f3 Rb3-a3 Bh3-g4 Ra3-c3 Kf3-f2 Rc3-c7 e3-e4
Rc7-c3 Bg4-f3 Rc3-a3 Bf3-g4) 0.00/36 5} Ra5 {(Rd5-a5 Bg4-d1 Ra5-b5 Bd1-e2
Rb5-c5 Be2-f3 Rc5-c3 Bf3-d1 Rc3-c5 Bd1-e2 Rc5-a5 Be2-g4 Ra5-a3 Bg4-e2)
0.00/39 4} 42. Be2 {(Bg4-e2 Ra5-a3 Ke4-f3 Kd6-e6 Be2-c4+ Ke6-f6 Bc4-f1
Ra3-a5 Kf3-g4 Ra5-a4 Bf1-h3 Ra4-b4 Kg4-f3 Rb4-b3 Kf3-f2 Rb3-b2+ Kf2-g3
Rb2-b3) 0.00/37 4} Rd5 {(Ra5-d5 f4-f5 Rd5-a5 Ke4-f4 Ra5-a4+ e3-e4 Kd6-e7
Be2-d3 Ke7-f6 Bd3-b5 Ra4-d4 Bb5-e2 Rd4-a4) 0.00/40 6} 43. f5 {(f4-f5 Rd5-d2
Be2-g4 Rd2-f2 Bg4-f3 Rf2-b2 Ke4-f4 Rb2-b4+ e3-e4 Kd6-e7 Bf3-e2 Ke7-f6
Be2-d3 Rb4-a4 Bd3-b5 Ra4-d4 Bb5-e8 Rd4-b4 Be8-c6 Rb4-c4 Bc6-d5 Rc4-b4)
0.00/38 5} Ra5 {(Rd5-a5 Ke4-f4 Ra5-a4+ e3-e4 Kd6-e7 Be2-d3 Ke7-f6 Bd3-b5
Ra4-d4 Bb5-e2 Rd4-a4) 0.00/42 4} 44. Kf4 {(Ke4-f4 Ra5-a2 Be2-f3 Ra2-a4+
e3-e4 Kd6-e7 Bf3-g4 Ra4-b4 Bg4-e2 Ke7-f6 Be2-d3 Rb4-a4 Bd3-b5 Ra4-d4 Bb5-c6
Rd4-c4 Bc6-e8 Rc4-b4 Be8-d7 Rb4-c4 Bd7-e6 Rc4-b4) 0.00/41 4} Ra4+ {(Ra5-a4+
e3-e4 Kd6-e7 Be2-d3 Ke7-f6 Bd3-b5 Ra4-d4 Bb5-c6 Rd4-b4 Bc6-d5 Rb4-d4)
0.00/42 4} 45. e4 {(e3-e4 Kd6-e7 Be2-d3 Ke7-f6 Bd3-b5 Ra4-d4 Bb5-c6 Rd4-c4
Bc6-e8 Rc4-b4 Be8-d7 Rb4-c4 Bd7-e6 Rc4-b4 Be6-d5 Rb4-d4 Bd5-g8 Rd4-a4
Bg8-b3 Ra4-b4 Bb3-e6 Rb4-b5 Be6-c4 Rb5-b4) 0.00/42 4} Ke7 {(Kd6-e7 Be2-d3
Ke7-f6 Bd3-b5 Ra4-d4 Bb5-c6 Rd4-b4 Bc6-d5 Rb4-d4) 0.00/44 6} 46. Ke5
{(Kf4-e5 Ra4-a5+ Ke5-f4 Ra5-a4) 0.00/45 4} Kf7 {(Ke7-f7 Be2-f3 Ra4-b4
Bf3-g4 Rb4-b5+ Ke5-f4 Rb5-a5 Bg4-f3 Kf7-f6 Bf3-d1 Ra5-e5 Bd1-b3 Re5-b5
Bb3-c4 Rb5-b4 Bc4-e6 Rb4-d4 Be6-d5 Rd4-b4) 0.00/41 5} 47. Bd3 {(Be2-d3
Ra4-a5+ Ke5-f4 Kf7-f6 Bd3-c4 Ra5-a4 Bc4-b3 Ra4-b4 Bb3-d1 Kf6-e7 Bd1-e2
Ke7-f6 Be2-d3 Rb4-a4 Bd3-c2 Ra4-b4 Bc2-d3) 0.00/43 3} Ra5+ {(Ra4-a5+ Ke5-f4
Kf7-f6 Bd3-c4 Ra5-a4 Bc4-d5 Ra4-b4 Bd5-c6 Rb4-c4 Bc6-b5 Rc4-c5 Bb5-e2
Rc5-e5 Be2-c4 Re5-a5 Bc4-e6 Ra5-a4) 0.00/42 4} 48. Kf4 {(Ke5-f4 Kf7-f6
Bd3-c4 Ra5-a4 Bc4-b3 Ra4-b4 Bb3-d5 Rb4-a4) 0.00/47 17} Kf6 {(Kf7-f6 Bd3-c4
Ra5-a4 Bc4-d5 Ra4-b4 Bd5-c6 Rb4-c4 Bc6-b5 Rc4-c5 Bb5-e2 Rc5-e5 Be2-f3
Re5-a5 Bf3-g4 Ra5-a4 Bg4-d1 Ra4-a5 Bd1-f3 Ra5-a4 Bf3-g4 Ra4-d4 Bg4-e2
Rd4-b4 Be2-d3 Rb4-a4 Bd3-c2 Ra4-a5 Bc2-b1) 0.00/48 5} 49. Bc4 {(Bd3-c4
Ra5-a4 Bc4-b3 Ra4-b4 Bb3-d5 Rb4-a4 Bd5-c6 Ra4-a5 Bc6-d7 Ra5-e5 Bd7-e6
Re5-b5 Be6-d5 Rb5-b4 Bd5-c6 Rb4-c4) 0.00/46 1} [\pgn][/pgn]
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Dicaste
Posts: 147
Joined: Mon Apr 16, 2012 7:23 pm
Location: Istanbul, TURKEY

Re: How powerful is the Queen compared to 2 Rooks ?

Post by Dicaste »

If you think simply Q = R + 2B(1 bishop can only move to 1 colored square).

Image

3 pieces vs 1 gives a little edge to them so it's Q + x = R + 2B (without positional parameters + tempo)
Last edited by Dicaste on Wed Jan 30, 2019 8:53 pm, edited 1 time in total.
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Dann Corbit
Posts: 12790
Joined: Wed Mar 08, 2006 8:57 pm
Location: Redmond, WA USA

Re: How powerful is the Queen compared to 2 Rooks ?

Post by Dann Corbit »

Only problem is some nut case strapped all three of them together. They would work a lot better if you could let them loose.
Taking ideas is not a vice, it is a virtue. We have another word for this. It is called learning.
But sharing ideas is an even greater virtue. We have another word for this. It is called teaching.
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Chessqueen
Posts: 5685
Joined: Wed Sep 05, 2018 2:16 am
Location: Moving
Full name: Jorge Picado

Re: How powerful is the Queen compared to 2 Rooks ?

Post by Chessqueen »

Nordlandia wrote: ↑Tue Jan 29, 2019 8:37 pm Trivial edge for white. Q is stronger than RNP but again supressed by redundancy.

[d]2r2bk1/1ppq1pp1/p1bp1n1p/8/2P5/2Q2P2/PP1Q1BPP/5BK1 w - - 0 1

Slight edge for black.

[d]3B1bk1/5p1p/2q1p1p1/p3P3/Pp2RPP1/5Q1P/1P1R3K/2q5 w - - 0 31

Maybe winning for white.

[d]2Q5/5k2/6p1/3rr3/8/7P/QP4PK/3q4 b - - 0 42
At least you should give an extra pawn to black, an extra f7 pawn llke this to make it even since the Black King on f7 without an extra pawn is too exposed to the attack of two Queens but with the King on f6 and an extra pawn on f7 the position is even and there is no advantage on either side.
[d]2Q5/5p2/5kp1/3rr3/8/7P/QP4PK/3q4 b - - 52 1

And here you can see that the game is heading to another draw, which is obvious, therefore I stopped it at this point:
[pgn][Event "Computer chess game"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2019.01.30"]
[Round "?"]
[White "Stockfish_10_x64"]
[Black "Stockfish_10_x64"]
[Result "*"]
[BlackElo "?"]
[Time "16:39:25"]
[WhiteElo "?"]
[TimeControl "600"]
[SetUp "1"]
[FEN "2Q5/5p2/5kp1/3rr3/8/7P/QP4PK/3q4 b - - 52 1"]
[Termination "unterminated"]
[PlyCount "38"]
[WhiteType "program"]
[BlackType "program"]

1. ... Qd4 {(Qd1-d4 Qc8-h8+ Kf6-g5 Qa2-b3 Qd4-f4+ Qb3-g3+ Qf4xg3+ Kh2xg3
Re5-e3+ Kg3-h2 Rd5-d2 h3-h4+ Kg5-f5 b2-b4 Re3-e2 Qh8-c8+ Kf5-e5 Qc8-c3+
Ke5-e6 Qc3-c6+ Ke6-e7 Qc6-b7+ Ke7-f8 b4-b5 Re2xg2+ Qb7xg2 Rd2xg2+ Kh2xg2
Kf8-e7 Kg2-g3 Ke7-d6 h4-h5 g6xh5 Kg3-h4 Kd6-c7 Kh4xh5 f7-f5 Kh5-g5 Kc7-b6
Kg5-f4 Kb6xb5 Kf4-g3 Kb5-c6 Kg3-f4) 0.00/28 18} 2. Qh8+ {(Qc8-h8+ Kf6-g5
Qa2-a3 Qd4-f4+ Qa3-g3+ Qf4xg3+ Kh2xg3 Re5-e3+ Kg3-h2 Rd5-d2 h3-h4+ Kg5-f5
Qh8-c8+ Kf5-f6 b2-b4 Re3-e2 Qc8-c6+ Kf6-e5 Qc6-c3+ Ke5-d5 Qc3-c5+ Kd5-e4
Kh2-h3 Re2xg2 Qc5-e7+ Ke4-d4 Qe7-d6+ Kd4-e3 Qd6-e5+ Ke3-f3 Qe5-c3+ Kf3-e4
Qc3-c6+ Ke4-e5 b4-b5 Rd2-c2 Qc6xg2 Rc2xg2) 0.00/29 21} Kg5 {(Kf6-g5 Qa2-b3
Qd4-f4+ Qb3-g3+ Qf4xg3+ Kh2xg3 Re5-e3+ Kg3-h2 Rd5-d2 h3-h4+ Kg5-f5 b2-b4
Re3-e2 Qh8-c8+ Kf5-f6 Qc8-c3+ Kf6-e6 Qc3-c4+ Ke6-e7 Qc4-c7+ Ke7-e6) 0.00/28
4} 3. Qa3 {(Qa2-a3 Qd4-f4+ Qa3-g3+ Qf4xg3+ Kh2xg3 Re5-e3+ Kg3-f2 Re3-b3
Kf2-g1 Rd5-b5 Qh8-g7 Rb5-b7 Qg7-e5+ Kg5-h6 Qe5-h8+ Kh6-g5 Qh8-e5+) 0.00/30
8} Qf4+ {(Qd4-f4+ Qa3-g3+ Qf4xg3+ Kh2xg3 Re5-e3+ Kg3-h2 Rd5-d2 b2-b4 Re3-e2
h3-h4+ Kg5-f5 Qh8-c8+ Kf5-f6 Qc8-c3+ Kf6-e6 Qc3-c4+ Ke6-f6 Qc4-c6+ Kf6-g7
b4-b5 Rd2-b2 Qc6-d5 Re2-d2 Qd5-f3 Kg7-f8 Qf3-a3+ Kf8-e8 Qa3-e3+ Ke8-d7
Qe3-a7+ Kd7-e6 Qa7-b6+ Ke6-e5 Qb6-c7+ Ke5-d4 b5-b6 Rd2xg2+ Kh2-h3 Rg2-c2
Qc7-d6+ Kd4-e4) 0.00/28 4} 4. Qg3+ {(Qa3-g3+ Qf4xg3+ Kh2xg3 Re5-e3+ Kg3-f2
Re3-b3 h3-h4+ Kg5-f5 Qh8-c8+ Kf5-f6 Qc8-c6+ Kf6-e5 Kf2-e1 Rd5-b5 g2-g4
Rb3xb2 h4-h5 g6xh5 g4xh5 Rb2-b1+ Ke1-e2 Rb5-b2+ Ke2-f3 Rb1-f1+ Kf3-g3
Rb2-b3+ Kg3-g2 Rf1-f3 Qc6xf3 Rb3xf3 Kg2xf3 Ke5-f6 Kf3-e4 Kf6-g5 Ke4-e3
f7-f6 h5-h6) 0.00/29 5} Qxg3+ {(Qf4xg3+ Kh2xg3 Re5-e3+ Kg3-h2 Rd5-d2 b2-b4
Re3-e2 h3-h4+ Kg5-f5 Qh8-c8+ Kf5-f6 Qc8-c3+ Kf6-e7 Qc3-c6 Re2xg2+ Qc6xg2
Rd2xg2+ Kh2xg2 Ke7-d6 Kg2-f3 Kd6-c6 Kf3-f4 f7-f6 Kf4-g4 Kc6-c7 h4-h5 g6xh5+
Kg4xh5 f6-f5 Kh5-g5 f5-f4 Kg5xf4 Kc7-b6 Kf4-g5 Kb6-c7) 0.00/30 6} 5. Kxg3
{(Kh2xg3 Re5-e3+ Kg3-f2 Re3-b3 Kf2-e1 Rd5-b5 Qh8-g7 Rb3xb2 Qg7xf7 Rb2xg2
Ke1-f1 Rb5-f5+ Qf7xf5+ g6xf5 Kf1xg2 Kg5-h5 Kg2-g3 f5-f4+ Kg3xf4 Kh5-g6
Kf4-f3 Kg6-g5 Kf3-e3 Kg5-g6 Ke3-e2 Kg6-h5 Ke2-f2 Kh5-g5) 0.00/29 6} Re3+
{(Re5-e3+ Kg3-h2 Rd5-d2 b2-b4 Re3-e2 h3-h4+ Kg5-f5 Qh8-c8+ Kf5-f6 Qc8-c3+
Kf6-e7 Qc3-c6 Re2xg2+ Qc6xg2 Rd2xg2+ Kh2xg2 Ke7-d6 Kg2-f3 Kd6-c6 Kf3-f4
f7-f6 Kf4-g4 Kc6-c7 h4-h5 g6xh5+ Kg4xh5 f6-f5 Kh5-g5 f5-f4 Kg5xf4 Kc7-b6
Kf4-g5 Kb6-c7 Kg5-f6 Kc7-b6) 0.00/32 6} 6. Kf2 {(Kg3-f2 Re3-b3 Kf2-e1
Rd5-b5 Qh8-g7 f7-f5 h3-h4+ Kg5xh4 Qg7-h6+ Kh4-g4 Qh6xg6+ Kg4-f4 Qg6-h6+
Kf4-e5 Qh6-g7+ Ke5-e4 Qg7-e7+ Rb5-e5 Qe7-f7 Rb3xb2 Qf7-c4+ Ke4-e3 Qc4-c3+
Ke3-f4+ Ke1-f1 Re5-e2 g2-g3+ Kf4-e4 Qc3-c6+ Ke4-e5 Qc6-c5+ Ke5-f6 Qc5-f8+
Kf6-g5 Qf8-g8+ Kg5-f6 Qg8-d8+ Kf6-f7 Qd8-d5+ Kf7-f6) 0.00/29 7} Rb3
{(Re3-b3 Kf2-g1 Rd5-b5 Qh8-g7 Rb5-b7 Qg7-e5+ Kg5-h6 Qe5-h8+ Kh6-g5) 0.00/25
4} 7. Ke1 {(Kf2-e1 Rd5-b5 Qh8-g7 f7-f5 h3-h4+ Kg5xh4 Qg7-h6+ Kh4-g4 Qh6xg6+
Kg4-f4 Qg6-h6+ Kf4-e5 Qh6-g7+ Ke5-e4 Qg7-e7+ Rb5-e5 Qe7-f7 Rb3xb2 Qf7-c4+
Ke4-e3 Qc4-c3+ Ke3-f4+ Ke1-f1 Re5-e2 Qc3-f3+ Kf4-e5 Qf3xe2+ Rb2xe2 Kf1xe2
Ke5-f4 Ke2-f2 Kf4-e4 Kf2-g3 Ke4-e5 Kg3-f3 Ke5-e6 Kf3-f4 Ke6-f6 Kf4-f3)
0.00/30 12} Rb6 {(Rb3-b6 g2-g3 Rd5-b5 Qh8-h4+ Kg5-f5 Ke1-f1 Kf5-e6 Qh4-e4+
Ke6-f6 Qe4-d4+ Kf6-e7 Kf1-g1 Rb5xb2 Qd4-e5+ Ke7-d7 Qe5-d5+ Kd7-e7) 0.00/24
10} 8. Kf1 {(Ke1-f1 Rd5-b5 h3-h4+ Kg5-g4 Kf1-g1 Rb5xb2 Qh8-d4+ Kg4-g3
Qd4-e3+ Kg3xh4 Qe3-f4+ Kh4-h5 Qf4xf7 Rb6-b5 Qf7-g7 Kh5-g5 Qg7-e7+ Kg5-h6
Qe7-f8+ Kh6-g5 Kg1-h2 Rb5-e5 Qf8-d8+ Kg5-f5 Qd8-d7+ Kf5-f6 Qd7-d6+ Kf6-f5
Qd6-d4) 0.00/25 8} Rf5+ {(Rd5-f5+ Kf1-g1 Rf5-b5 h3-h4+ Kg5-f5 h4-h5 g6xh5
Qh8xh5+ Kf5-f6 Qh5-h6+ Kf6-e7 Qh6-h4+ Ke7-e8 Qh4-e4+ Ke8-f8 Qe4-h7 Rb5xb2
Qh7-h8+ Kf8-e7 Qh8-h4+ Ke7-e6 Qh4-h3+ Ke6-e7) 0.00/26 11} 9. Ke1 {(Kf1-e1
Rf5-b5 h3-h4+ Kg5-g4 Qh8-d4+ Kg4-g3 Qd4-f2+ Kg3-h2 Qf2xf7 Rb5xb2 h4-h5
g6xh5 Qf7xh5+ Kh2-g1 Qh5-c5+ Kg1xg2 Qc5-g5+ Kg2-f3 Qg5-h5+ Kf3-g3 Qh5-e5+
Kg3-g4 Qe5-g7+ Kg4-f3 Qg7-f7+ Kf3-g3 Qf7-c7+ Kg3-h3 Qc7-h7+ Kh3-g2 Qh7-g7+)
0.00/24 11} Rd5 {(Rf5-d5 g2-g3 Rd5-b5 Qh8-c3 Kg5-f5 Ke1-f1 Kf5-e6 Qc3-e3+
Ke6-f6 Qe3-d4+ Kf6-e7 Kf1-g1 Rb5xb2 Qd4-e5+ Ke7-d8 Qe5-d5+ Kd8-e8 Qd5-e5+)
0.00/24 9} 10. Kf1 {(Ke1-f1 Rd5-b5 h3-h4+ Kg5-g4 Kf1-g1 Rb5xb2 Qh8-d4+
Kg4-g3 Qd4-e3+ Kg3xh4 Qe3-f4+ Kh4-h5 Qf4xf7 Rb6-b5 Qf7-g7 Rb2-b1+ Kg1-h2
Rb1-b4 Qg7-e7 Kh5-g4 Qe7-e6+ Kg4-g5 Kh2-g1 Rb4-b1+ Kg1-h2 Rb1-b2 Qe6-e7+
Kg5-h6 Qe7-f8+ Kh6-g5) 0.00/27 5} Rf5+ {(Rd5-f5+ Kf1-g1 Rf5-b5 h3-h4+
Kg5-f5 h4-h5 g6xh5 Qh8xh5+ Kf5-f6 Qh5-h6+ Kf6-e7 Qh6-h4+ Ke7-e8 Qh4-h8+
Ke8-d7 Qh8-d4+ Kd7-e6 Qd4-e3+ Ke6-f5 Qe3-d3+ Kf5-g5 Qd3-h7 f7-f6 Qh7-g7+
Kg5-f5 Qg7-h7+ Kf5-g5) 0.00/27 5} 11. Ke1 {(Kf1-e1 Rf5-d5) 0.00/29 17} Re6+
{(Rb6-e6+ Ke1-d2 Rf5-d5+ Kd2-c3 Re6-c6+ Kc3-b3 Rd5-b5+ Kb3-a4 Rc6-b6
Qh8-d8+ Kg5-f4 Qd8-h4+ Kf4-f5 Qh4-g4+ Kf5-f6 Qg4-f4+ Kf6-e7 Qf4-c7+ Ke7-f8
Qc7-d8+ Kf8-g7 Qd8-d4+ Kg7-h7 Qd4-h4+ Kh7-g8 Qh4-d8+) 0.00/27 17} 12. Kd2
{(Ke1-d2 Rf5-f2+ Kd2-d3 Re6-e2 b2-b4 Rf2xg2 Qh8-d8+ f7-f6 h3-h4+ Kg5xh4
Qd8xf6+ g6-g5 Qf6-h8+ Kh4-g3 b4-b5 Re2-b2 Qh8-g7 Kg3-g4 Qg7-d7+ Kg4-h4
Qd7-h7+ Kh4-g3 Qh7-c7+ Kg3-f3 Qc7-c6+ Kf3-f4 Qc6-f6+ Kf4-g4 b5-b6 Rg2-f2
Qf6-g6 Rf2-f3+ Kd3-c4) 0.00/25 5} Rd5+ {(Rf5-d5+ Kd2-c3 Re6-c6+ Kc3-b3
Rc6-b6+ Kb3-a4 Rd5-b5 Qh8-d8+ Kg5-f4 Qd8-h4+ Kf4-f5 Qh4-g4+ Kf5-f6 Qg4-f4+
Kf6-e7 Qf4-c7+ Ke7-f8 Qc7-d8+ Kf8-g7 Qd8-d4+ Kg7-h7 Qd4-h4+ Kh7-g7) 0.00/26
4} 13. Kc3 {(Kd2-c3 Re6-c6+ Kc3-b4 Rc6-b6+ Kb4-c4 Rd5-b5 Qh8-d8+ f7-f6
Qd8-d2+ Kg5-h5 g2-g4+ Kh5-h4 Qd2-h6+ Kh4-g3 Qh6-e3+ Kg3-g2 h3-h4 Rb5-b4+
Kc4-d5 Rb4-b5+) 0.00/26 6} Rc6+ {(Re6-c6+ Kc3-b3 Rc6-b6+ Kb3-a4 Rd5-b5
Qh8-d8+ Kg5-f4 Qd8-h4+ Kf4-f5 Qh4-g4+ Kf5-f6 Qg4-f4+ Kf6-e7 Qf4-c7+ Ke7-f8
Qc7-d8+ Kf8-g7 Qd8-d4+ Kg7-h7 Qd4-h4+ Kh7-g8 b2-b4 g6-g5 Qh4-c4 Rb5xb4+
Qc4xb4 Rb6xb4+ Ka4xb4 Kg8-g7 Kb4-c5 Kg7-f6 Kc5-d6 Kf6-g6 Kd6-e5 f7-f5
Ke5-d5 g5-g4 h3-h4 f5-f4 Kd5-e4 f4-f3 g2xf3 g4xf3) 0.00/27 9} 14. Kb4
{(Kc3-b4 Rc6-b6+ Kb4-c4 Rd5-b5 Qh8-d8+ f7-f6 Qd8-d2+ Kg5-h5 Qd2-d7 Rb5xb2
Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+ Kg4xh4 Kc4-d3 f6-f5 Qg6xf5 Kh4-g3
Kd3-c4 Rb2-b3 Qf5-e5+ Kg3xg2 Qe5-e2+ Kg2-g3 Qe2-f1 Rb6-b5 Qf1-f7 Kg3-g4
Qf7-g6+ Kg4-f3 Qg6-c6+ Kf3-f4 Qc6-f6+ Kf4-g4) 0.00/27 5} Rb6+ {(Rc6-b6+
Kb4-a4 Rd5-b5 Qh8-d8+ Kg5-f4 Qd8-h4+ Kf4-e3 Qh4-e1+ Ke3-f4) 0.00/26 4} 15.
Kc4 {(Kb4-c4 Rd5-b5 Qh8-d8+ f7-f6 Qd8-d2+ Kg5-h5 Qd2-d7 Rb5xb2 Qd7-h7+
Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+ Kg4xh4 Kc4-d3 f6-f5 Qg6xf5 Kh4-g3 Kd3-c4
Rb6-b5 Qf5-h3+ Kg3-f2 Qh3-h4+ Kf2-f1 Qh4-e7 Kf1xg2 Qe7-e4+ Kg2-h2 Qe4-h7+
Kh2-g3 Qh7-g6+ Kg3-f4 Qg6-f6+ Kf4-g3) 0.00/27 6} Rdb5 {(Rd5-b5 Qh8-d8+
Kg5-h5 Qd8-h8+) 0.00/25 5} 16. Qd8+ {(Qh8-d8+ f7-f6 Qd8-d2+ Kg5-h5 Qd2-d7
Rb5xb2 Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+ Kg4xh4 Kc4-d3 f6-f5 Qg6xf5
Kh4-g3 Kd3-c4 Rb6-b5 Qf5-h3+ Kg3-f2 Qh3-h4+ Kf2-f1 Qh4-e7 Kf1xg2 Qe7-e4+
Kg2-h2 Qe4-h7+ Kh2-g3 Qh7-g6+ Kg3-f4 Qg6-f6+ Kf4-g3) 0.00/27 10} Kh5
{(Kg5-h5 Qd8-h8+ Kh5-g5 Qh8-d8+) 0.00/27 6} 17. Qh8+ {(Qd8-h8+ Kh5-g5
Qh8-d8+ f7-f6 Qd8-d2+ Kg5-h5 Qd2-d7 Rb5xb2 Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4
Qh7xg6+ Kg4xh4 Kc4-d3 f6-f5 Qg6xf5 Kh4-g3 Kd3-c4 Rb6-b5 Qf5-h3+ Kg3-f2
Qh3-h4+ Kf2-f1 Qh4-e7 Kf1xg2 Qe7-e4+ Kg2-h2 Qe4-h7+ Kh2-g3 Qh7-g6+ Kg3-h3
Qg6-e6+ Kh3-g2 Qe6-f6) 0.00/30 12} Kg5 {(Kh5-g5 Qh8-d8+ Kg5-h5 Qd8-h8+
Kh5-g5) 0.00/1 0} 18. Qd8+ {(Qh8-d8+ f7-f6 Qd8-d2+ Kg5-h5 Qd2-d7 Rb5xb2
Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+ Kg4xh4 Kc4-d3 Rb6-b3+ Kd3-e4 Rb3-b5
Qg6xf6+ Kh4-g3 Qf6-f4+ Kg3xg2 Qf4-g4+ Kg2-f2 Qg4-f4+ Kf2-g1 Qf4-g3+ Kg1-f1
Qg3-g7 Kf1-f2 Qg7-h6 Rb2-b4+ Ke4-d3 Rb4-b3+ Kd3-c2 Kf2-g3 Qh6-g6+ Kg3-h2
Kc2-d2 Rb3-b2+ Kd2-e3 Rb5-b3+ Ke3-d4 Rb2-b1 Qg6-f6 Kh2-g1 Qf6-g5+ Kg1-f2
Qg5-f5+ Kf2-g3) 0.00/30 3} f6 {(f7-f6 Qd8-d2+ Kg5-h5 Qd2-d7 Rb5-b4+ Kc4-c5
Rb4xb2 Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+ Kg4xh4 Kc5-d4 Rb2-b3 Qg6-g7
Rb6-b7 Qg7xf6+ Kh4-g4 Qf6-g6+ Kg4-f4 Qg6-h6+ Kf4-g3 Qh6-d6+ Kg3xg2 Qd6-g6+
Kg2-f3 Qg6-f5+ Kf3-g3 Qf5-g5+ Kg3-f3 Qg5-d5+ Kf3-f4 Qd5-d6+ Kf4-g4 Qd6-e6+
Kg4-g3 Qe6-e1+ Kg3-g2 Qe1-e4+ Kg2-g3) 0.00/30 18} 19. Qd2+ {(Qd8-d2+ Kg5-h5
Qd2-d7 Rb5xb2 Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+ Kg4xh4 Kc4-d3 Rb2-b5
Kd3-e2 f6-f5 Qg6-g7 Rb5-b3 Qg7-e5 Rb3-b2+ Ke2-e1 Rb2-b1+ Ke1-e2 Rb6-b2+
Ke2-d3 Rb2-b3+ Kd3-d2 Rb1-b2+ Kd2-e1 Kh4-g5 Qe5-g7+ Kg5-f4 Qg7-d4+ Kf4-g3
Qd4-e5+ Kg3xg2 Qe5xf5 Rb2-b1+ Ke1-e2 Rb1-b2+ Ke2-d1 Kg2-h2 Qf5-f4+ Kh2-h1
Qf4-e4+ Kh1-h2) 0.00/31 12} Kh5 {(Kg5-h5 Qd2-d7 Rb5-b4+ Kc4-c5 Rb4xb2
Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+ Kg4xh4 Kc5-d4 Rb2-b3 Qg6-g7 Rb6-b7
Qg7xf6+ Kh4-g4 Qf6-g6+ Kg4-f4 Qg6-h6+ Kf4-g3 Qh6-d6+ Kg3xg2 Qd6-g6+ Kg2-f3
Qg6-f5+ Kf3-g3 Qf5-g5+ Kg3-f2 Qg5-f4+ Kf2-g2 Qf4-g4+ Kg2-h2 Qg4-h4+ Kh2-g2)
0.00/30 3} 20. Qd7 {(Qd2-d7 Rb5xb2 Qd7-h7+ Kh5-g5 h3-h4+ Kg5-g4 Qh7xg6+
Kg4xh4 Kc4-d3 Rb2-b5 Kd3-e2 f6-f5 Qg6-g7 Rb5-b3 Ke2-f2 Kh4-h5 g2-g3 Rb6-b7
Qg7-f6 Rb3-b2+ Kf2-g1 Rb7-b5 Kg1-f1 Rb2-b1+ Kf1-e2 Rb5-b2+ Ke2-d3 Kh5-g4
Qf6-g6+ Kg4-f3 Qg6xf5+ Kf3-g2 Qf5-g6 Rb2-b3+ Kd3-d4 Rb3-b4+ Kd4-e5 Rb4-b5+
Ke5-f4 Rb5-b4+) 0.00/31 4} [\pgn][/pgn]
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Sesse
Posts: 300
Joined: Mon Apr 30, 2018 11:51 pm

Re: How powerful is the Queen compared to 2 Rooks ?

Post by Sesse »

Dann Corbit wrote: ↑Mon Jan 28, 2019 8:48 pm Here is what Stockfish says about the value of chessmen (note that pawns are not 100) during the midgame and during the endgame:

Code: Select all

    PawnValueMg   = 136,   PawnValueEg   = 208,
    KnightValueMg = 782,   KnightValueEg = 865,
    BishopValueMg = 830,   BishopValueEg = 918,
    RookValueMg   = 1289,  RookValueEg   = 1378,
    QueenValueMg  = 2529,  QueenValueEg  = 2687,
Note that two rooks are 2578 so a bit better than the queen in midgame. But it's close enough where it doesn't matter much.
Note that two rooks are 2756 so significantly better than the queen in the endgame.
It appears that Stockfish's lips are sealed about the value in the opening.
This is somewhat inaccurate; Stockfish also has second-order evaluation, where pieces' values are influenced by what else is on the board.

Code: Select all

  constexpr int QuadraticOurs[][PIECE_TYPE_NB] = {
    //            OUR PIECES
    // pair pawn knight bishop rook queen
    {1438                               }, // Bishop pair
    {  40,   38                         }, // Pawn
    {  32,  255, -62                    }, // Knight      OUR PIECES
    {   0,  104,   4,    0              }, // Bishop
    { -26,   -2,  47,   105,  -208      }, // Rook
    {-189,   24, 117,   133,  -134, -6  }  // Queen
  };                                                                                          

  constexpr int QuadraticTheirs[][PIECE_TYPE_NB] = {
    //           THEIR PIECES
    // pair pawn knight bishop rook queen
    {   0                               }, // Bishop pair
    {  36,    0                         }, // Pawn
    {   9,   63,   0                    }, // Knight      OUR PIECES
    {  59,   65,  42,     0             }, // Bishop
    {  46,   39,  24,   -24,    0       }, // Rook
    {  97,  100, -42,   137,  268,    0 }  // Queen
  };
So a rook gets a penalty for each friendly rook (seemingly including itself, but I might be wrong here), and the queen gets a bonus for each rook it is opposing. (The bishop pair is important enough that it's assigned its own “pseudo-piece”, so that's really a limited third order evaluation.)
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lkaufman
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Full name: Larry Kaufman

Re: How powerful is the Queen compared to 2 Rooks ?

Post by lkaufman »

hgm wrote: ↑Tue Jan 29, 2019 9:28 am Although I do agree with the final conclusion, I am rather skeptical about the 'explanation'. I have always thought this concept of 'redundancy' to be a red herring, and that what sometimes is ascribed to redundancy in reality is due to the 'leveling effect' proposed by Ralph Betza: stronger pieces lose value when up against weaker opponent pieces.

When there is two Rooks against one, and the outcome is still at stake, the side with one Rook must have some other material in compensation. And if Queens are explicitly excluded, this must be minors. But the presence of these minors then devaluates both opponent Rooks, while the lone Rook is not bothered by minors (or by fewer minors), and thus effectively worth more. So trading it is a good deal for the player with two Rooks.

The leveling effect would predict the same for two unequal pieces of Rook value. E.g. a Rook plus a piece that moved as Knight or step one square diagonally. There would be no redundancy in that case (the pieces do not share a single move!), but it would still be favorable for the player that has R + augmented N to trade Rooks against an opponent that has R + B-pair.

A similar effect is very obvious in Capablanca Chess, where it is bad (like in orthodox Chess) to trade your Q for R+B if the other two super-pieces (Archbishop and Chancellor) are no longer present, but quite favorable when all A and C are still on the board: the remaining A and C devaluate because of the opposing R an B, while they are not so much impressed by an opposing Q. (More the other way around...) So trading A and C becomes quite favorable for the player that still has Q, while A and C are not really redundant w.r.t. Q (and in any case not more than w.r.t. R + B, which share the same moves with them as Q does).
I have been interested in this idea about weaker pieces devaluating stronger ones ever since you told me about it long ago. But we were never able to show a benefit to Komodo from this idea, the redundancy method always worked better. One issue is this: White giving knight odds (remove b1 knight), the extra Black knight reduces the value of White's majors according to your theory. Therefore White should try to exchange queens and rooks! But of course this is exactly the opposite of correct strategy, Black should be the one seeking those trades. But if all pieces of one side are considered redundant to varying degrees (except for the two bishops obviously), then Black will (correctly) seek exchanges.
Komodo rules!
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hgm
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Re: How powerful is the Queen compared to 2 Rooks ?

Post by hgm »

I think that in the Knight-odds example the leveling effect is masked by an even more general principle: when ahead in material, simplify by trading pieces (but conserve Pawns). This principle even applies in cases where all pieces are equal (so that there cannot be any leveling effect), e.g. 4 Knights vs 3. In the usual framework of opening/end-game evaluation interpolated by game phase, the latter measured as total material, this would be implemented as a hefty (but proportionl) increase of all piece values towards the end-game. Intuitively it would make sense to express material avantages as a fraction (white - black)/(white + black) (where even the King could then count for some), but the division is a bit awkward, so we usually take a linear growth like (white - black) - C*(white + black)*(white-black), (where for simplicity I assumed that the weights for determining the game phase (white + black) are the same as the piece values, and all values decrease in the same proportion C towards the opening). The second-order term then is C*(black*black - white*white), i.e. it mainly contains interactions between own pieces. But it doesn't really discriminate between piece types, other than weighting those by their 'intrinsic' value. Basically it says: if you have many pieces, every one of those is somewhat redundant (white army strength = white - C*white*white). No matter how different they move.

Such a 'type-blind' general redundance (as an approximation to expressing the advantage as a relative quantity) should be enough to explain why trading Queens in the face of Knight odds is a bad idea. Sure, the leveling effect was making your own Queen a bit less valuable than his, because she was facing that extra Knight. But that did not take account of the fact that you needed that Queen much harder, because she also had to perform the tasks that otherwise could have been done by that missing Knight. Or, equivalently, the opponent's Queen was to some extent redundant because that extra Knight could sometimes releave her.

So perhaps I should be more precise in my statement: rather than saying that I don't believe in redundancy, I should say I do not believe in type-specific, but think that redunancy should be type-blind, and just express that it is the relative material advantage that matters. But then it can be a pretty big effect. With 6:3:2 weighting of Q:R:minor, the start total of a Knight-odds game would have 38 points, and trading Queens would reduce it to 26. That would be a 46% increase of the relative piece values, so 1.5 Pawn for a Knight's advantage. This will be much larger than the leveling effect of a single Knight on a Queen.
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Chessqueen
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Re: How powerful is the Queen compared to 2 Rooks ?

Post by Chessqueen »

Chessqueen wrote: ↑Wed Jan 30, 2019 11:42 pm
Nordlandia wrote: ↑Tue Jan 29, 2019 8:37 pm
Maybe winning for white.

[d]2Q5/5k2/6p1/3rr3/8/7P/QP4PK/3q4 b - - 0 42
At least you should give an extra pawn to black, an extra f7 pawn llke this to make it even since the Black King on f7 without an extra pawn is too exposed to the attack of two Queens but with the King on f6 and an extra pawn on f7 the position is even and there is no advantage on either side.
[d]2Q5/5p2/5kp1/3rr3/8/7P/QP4PK/3q4 b - - 52 1

Even if you have an even number of pawns if Black start moving first the result will be draw:
[pgn][Event "Computer chess game"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2019.01.31"]
[Round "?"]
[White "Stockfish_10_x64"]
[Black "Stockfish_10_x64"]
[Result "1/2-1/2"]
[BlackElo "?"]
[Time "04:03:25"]
[WhiteElo "?"]
[TimeControl "600"]
[SetUp "1"]
[FEN "2Q5/5p2/5kp1/3rr3/8/7P/Q5PK/3q4 b - - 1 1"]
[Termination "normal"]
[PlyCount "201"]
[WhiteType "program"]
[BlackType "program"]

1. ... Rd8 {(Rd5-d8 Qc8-c3 Qd1-d6 Qa2-e2 Rd8-c8 Qe2-d2 Qd6xd2 Qc3xd2 Kf6-g7
Qd2-d4 Rc8-c5 g2-g4 Rc5-d5 Qd4-c3 Kg7-g8 Kh2-g2 Rd5-c5 Qc3-b2 g6-g5 Kg2-f3
Kg8-g7 Kf3-g2 Kg7-h7 Kg2-f3 Kh7-g6) +0.55/25 23} 2. Qc3 {(Qc8-c3 Qd1-d6
Qa2-b2 Rd8-e8 Qc3-d2 Qd6xd2 Qb2xd2 Kf6-g7 Kh2-g3 Kg7-g8 Qd2-d4 Re5-e4
Qd4-d5 Re4-e2 h3-h4 Re8-e5 Qd5-a8+ Kg8-g7 Kg3-f3 Re2-e1 g2-g4 Re5-c5 Qa8-b8
Re1-c1 h4-h5 Rc1-c3+ Kf3-f2 Rc3-c4 h5xg6 f7xg6 g4-g5 Rc4-c2+ Kf2-e1 Rc5xg5)
-0.58/28 31} Qd6 {(Qd1-d6 Qa2-b2 Rd8-e8 Qb2-d2 Qd6xd2 Qc3xd2 Kf6-g7 Kh2-g3
Re5-f5 Kg3-h2 Rf5-c5 Qd2-d4+ Re8-e5 g2-g4 Rc5-d5 Qd4-c3 f7-f6 Qc3-c7+
Kg7-h6 Qc7-c3 g6-g5 Kh2-g3 Rd5-d7 h3-h4 g5xh4+ Kg3-h3 Rd7-e7 Kh3xh4)
+0.73/23 2} 3. Qab2 {(Qa2-b2 Rd8-e8 Qc3-d2 Qd6xd2 Qb2xd2 Kf6-g7 Kh2-g3
Kg7-g8 Qd2-d4 Re5-e4 Qd4-d5 Re4-e3+ Kg3-f2 Re3-e2+ Kf2-f3 Re2-e5 Qd5-d4
Re5-f5+ Kf3-g3 Re8-e5 Qd4-d8+ Kg8-h7 Qd8-h4+ Rf5-h5 Qh4-c4 Re5-f5 Kg3-h2
Rf5-d5 Qc4-c7 Rh5-f5 g2-g4 Rd5-d2+ Kh2-g3 Rd2-d3+ Kg3-g2 Rf5-f3 h3-h4)
-0.61/26 6} Re8 {(Rd8-e8 Qb2-d2 Qd6xd2 Qc3xd2 Kf6-g7 h3-h4 Kg7-g8 Kh2-g1
Re5-b5 Qd2-d7 Re8-e5 Qd7-d8+ Kg8-g7 Qd8-d4 Rb5-d5 Qd4-c3 Rd5-c5 Qc3-d4
Kg7-g8 Qd4-d8+ Kg8-h7 Qd8-f8 Rc5-c7 Qf8-d6 Rc7-c1+ Kg1-h2 Rc1-c5 Qd6-f8
Re5-f5 g2-g4 Rc5-c2+ Kh2-g3 Rc2-c3+ Kg3-g2 Rf5-f4 g4-g5 Rf4-f5 Qf8-d6
Rc3-c4) +1.00/24 11} 4. Qcd2 {(Qc3-d2 Qd6xd2 Qb2xd2 Kf6-g7 h3-h4 Re5-e2
Qd2-d4+ Kg7-g8 Kh2-g3 Re2-e5 Kg3-h3 Re5-e4 Qd4-d7 Re4-e3+ g2-g3 Re8-e5
Qd7-a7 Re3-e2 Qa7-a8+ Kg8-g7 Qa8-f3 Re2-e3 Qf3-f4 Re3-e4 Qf4-d2 Re4-e2
Qd2-d1 Kg7-g8 Qd1-d6 Kg8-h7 Qd6-d4 Re5-f5 Kh3-g4 Re2-a2) -0.67/27 7} Qxd2
{(Qd6xd2 Qb2xd2 Kf6-g7 h3-h4 Kg7-g8 Qd2-d7 Re8-b8 g2-g4 Re5-e3 Kh2-g2
Re3-c3 Qd7-d2 Rc3-c4 h4-h5 Rc4xg4+ Kg2-f3 g6xh5 Qd2-d5 Rb8-b4 Qd5xh5
Rb4-f4+ Kf3-e3 Rf4-e4+ Ke3-f3 Kg8-g7 Qh5-c5 Kg7-g6 Qc5-d6+ f7-f6 Qd6-f8
Rg4-f4+ Kf3-g2 Re4-e3 Qf8-g8+ Kg6-f5 Qg8-c8+ Kf5-g5 Qc8-c5+ Re3-e5)
+1.00/24 10} 5. Qxd2 {(Qb2xd2 Kf6-g7 Kh2-g3 Kg7-g8 Qd2-d4 Re5-e4 Qd4-d5
Re4-e3+ Kg3-f2 Re3-e2+ Kf2-f3 Re2-e5 Qd5-d4 Re5-f5+ Kf3-g3 Re8-e5 Qd4-d8+
Kg8-h7 Qd8-h4+ Rf5-h5 Qh4-f6 Kh7-g8 Qf6-d8+ Kg8-g7 Qd8-d4 Kg7-h7 Qd4-c4
Re5-d5 Kg3-f3 Rh5-f5+ Kf3-e3 Rd5-e5+ Ke3-d3 Re5-c5 Qc4-h4+ Kh7-g8 Qh4-d8+
Kg8-g7) -0.71/26 7} Kg7 {(Kf6-g7 h3-h4 Kg7-g8 Qd2-d7 Re8-b8 Qd7-d4 Rb8-b5
g2-g4 Re5-d5 Qd4-c3 Rb5-c5 Qc3-b4 Kg8-h7 Kh2-g2 Rc5-c2+ Kg2-f3 Rd5-d3+
Kf3-e4 Rd3-g3 Ke4-e5 Rg3-e3+ Ke5-d4 Rc2-e2 Qb4-f8 Re3-e7 Kd4-d3 Re2-e5
Kd3-d4 Re5-e3 h4-h5 g6xh5 g4xh5) +0.80/26 8} 6. Qd4 {(Qd2-d4 Kg7-g8 h3-h4
Re5-e4 Qd4-f6 Re8-e5 Qf6-d8+ Kg8-h7 Kh2-h3 Re4-e3+ Kh3-h2 Re3-e2 Kh2-h3
Kh7-g7 Qd8-d1 Re2-e1 Qd1-d2 Re1-e3+ g2-g3 Re3-e2 Qd2-d1 Kg7-h7 Qd1-f1
Kh7-g8 Qf1-d1 Re2-f2 Qd1-d6 Re5-e2 Kh3-g4) -0.72/28 10} Kg8 {(Kg7-g8 Kh2-g3
Re5-b5 Kg3-f4 Rb5-f5+ Kf4-g3 Re8-e5 Qd4-d8+ Kg8-h7 Qd8-h4+ Rf5-h5 Qh4-f6
Kh7-g8 Qf6-d8+ Kg8-g7 Qd8-d4 Kg7-h7 Qd4-d7 Rh5-f5 Qd7-d4 Re5-d5 Qd4-b4
Rd5-d3+ Kg3-h2 Rf5-d5 Qb4-f8) +1.05/25 7} 7. Qd7 {(Qd4-d7 Re5-e2 h3-h4
Re8-e5 Kh2-h3 Re5-f5 Qd7-d8+ Kg8-h7 Qd8-d3 Rf5-e5 Qd3-d4 Re2-e4 Qd4-d7
Re4-e3+ Kh3-h2 Kh7-g8 Qd7-c8+ Kg8-g7 Qc8-d7 Re3-e2 Kh2-h3 Kg7-g8 Qd7-d8+
Re5-e8 Qd8-d4 Re2-e3+ g2-g3 Re3-e2 Qd4-c3 Re8-d8 Qc3-f3 Rd8-d2) -0.71/28
13} Ra8 {(Re8-a8 Qd7-d2 Ra8-c8 h3-h4 Rc8-c4 Kh2-h3 Re5-f5 Qd2-d8+ Kg8-h7
Qd8-d3 Rf5-c5 Qd3-d7 Rc4-f4 Qd7-d2 Rf4-f5 Qd2-e3 Rc5-e5 Qe3-c3 Re5-e2
Qc3-d3 Rf5-e5 Qd3-d8 Re2-f2 Qd8-d3 Rf2-f4 Qd3-d2 Rf4-e4 Qd2-d7 Re4-e3+
Kh3-h2) +1.01/27 7} 8. Qd3 {(Qd7-d3 Re5-f5 h3-h4 Ra8-e8 Qd3-d2 Rf5-e5
Kh2-h3 Re5-e2 Qd2-d1 Re8-e5 Qd1-d7 Re2-e3+ Kh3-h2 Re5-h5 Qd7-d4 Re3-e2
Kh2-h3 Rh5-f5 Qd4-d8+ Kg8-h7 Qd8-d3 Rf5-e5 Qd3-d4 Re2-e4 Qd4-d7 Re4-e3+
Kh3-h2 Kh7-g8 Qd7-c8+ Kg8-g7 Qc8-d8 Re3-e2) -0.67/26 8} Rae8 {(Ra8-e8
Qd3-d7 Re8-a8 Qd7-d3 Re5-c5 h3-h4 Ra8-a2 Kh2-h3 Rc5-e5 Qd3-d8+ Kg8-h7
Qd8-f6 Re5-f5 Qf6-d4 Ra2-e2 Qd4-d3 Rf5-e5 Qd3-d8 Re2-e3+ Kh3-h2 Re3-e4
Kh2-h3 Re4-e2 Qd8-d7 Re2-f2 Qd7-d3 Rf2-f4 Qd3-d2 Rf4-c4 Qd2-d3 Re5-c5
Qd3-d7 Rc5-f5) +1.01/30 10} 9. h4 {(h3-h4 Re5-e3 Qd3-d6 Re8-e5 Qd6-d7
Re3-e2 Kh2-h3 Re5-f5 Qd7-d8+ Kg8-h7 Qd8-d3 Rf5-e5 Qd3-c4 Kh7-g8 Qc4-d4
Re2-e4 Qd4-d7 Re4-c4 Qd7-d8+ Kg8-h7 Qd8-d3 Rc4-f4 Qd3-d2 Rf4-e4 Qd2-d7
Re4-e3+ Kh3-h2 Re5-f5 Qd7-d2 Re3-e4) -0.62/27 3} Re4 {(Re5-e4 g2-g3 Re4-e2+
Kh2-h3 Re8-e5 Qd3-d6 Kg8-h7 Qd6-d3 Re2-f2 Qd3-b3 Re5-f5 Qb3-e3 Rf2-a2
Qe3-d3 Ra2-b2 Qd3-c3 Rb2-e2 Kh3-g4 Kh7-g8 Qc3-c8+ Kg8-g7 Qc8-d8 Re2-f2
Qd8-d3 Kg7-g8 Qd3-e3 Rf2-c2 Kg4-h3 Rf5-f2 Qe3-e4 Kg8-h7 Qe4-d5) +1.11/28 2}
10. g3 {(g2-g3 Re4-e2+ Kh2-h3 Re8-e5 Qd3-d8+ Kg8-g7 Qd8-d3 Kg7-h7 Qd3-f3
Kh7-g8 Qf3-a8+ Kg8-g7 Qa8-d8 Re5-f5 Qd8-d4+ Kg7-g8 Qd4-d3 Re2-e5 Kh3-g2
Re5-d5 Qd3-e3 Rf5-e5 Qe3-b3 Rd5-d2+ Kg2-f3 Re5-f5+ Kf3-e3 Rd2-d8 Qb3-a4
Rf5-e5+ Ke3-f4 Re5-d5 Qa4-c6 Rd5-d2 Kf4-e4) -0.52/28 4} Re2+ {(Re4-e2+
Kh2-h3 Re8-e5 Qd3-d6 Kg8-h7 Qd6-d3 Re2-f2 Qd3-b3 Re5-f5 Qb3-e3 Kh7-g8
Qe3-d4 Rf2-c2 Qd4-d8+ Kg8-h7 Qd8-d3 Rc2-a2 Qd3-d4 Ra2-e2 Qd4-c3 Kh7-g8
Qc3-d3 Re2-e5 g3-g4 Rf5-f4 Qd3-c3 Re5-d5 Qc3-b3 Rd5-d4 Qb3-b8+ Kg8-h7
Qb8-c7 Rd4-c4) +0.92/30 8} 11. Kh3 {(Kh2-h3 Re8-e5 Qd3-d8+ Kg8-h7 Qd8-c7
Re5-f5 Qc7-c3 Rf5-f1 Qc3-b3 Rf1-f2 Qb3-d5 Re2-d2 Qd5-c5 Rf2-f5 Qc5-c7
Rd2-d3 Kh3-g2 Kh7-g7 g3-g4 Rf5-b5 Kg2-f1 Rd3-d4 Qc7-c3 Rb5-b4 h4-h5 Kg7-h6
h5xg6 Rd4-f4+ Kf1-g2 Rf4xg4+ Kg2-f2 Rb4-f4+ Kf2-e1 f7-f6 Qc3-c7 Kh6xg6)
-0.69/32 11} R8e5 {(Re8-e5 Qd3-d6 Kg8-h7 Qd6-d3 Re2-f2 Qd3-b3 Re5-c5 Qb3-d3
Rc5-f5 Qd3-e3 Rf2-b2 Qe3-d3 Rb2-a2 Qd3-d4 Ra2-e2 Qd4-c3 Kh7-g8 Qc3-d3
Re2-f2 Qd3-d4 Rf2-c2 Qd4-d8+ Kg8-h7 Qd8-d3 Rc2-b2 Qd3-d4 Rb2-a2 Qd4-d3
Rf5-f2 Kh3-g4 Ra2-d2 Qd3-e3 Rd2-e2) +0.85/31 7} 12. Qd6 {(Qd3-d6 Kg8-h7
Qd6-c7 Re5-f5 Qc7-c3 Rf5-f1 Qc3-d3 Rf1-f2 Qd3-d5 Re2-d2 Qd5-c5 Rd2-c2
Qc5-d4 Kh7-g8 Kh3-g4 Rc2-d2 Qd4-e3 Rd2-e2 Qe3-c5 Rf2-f5 Qc5-c3 Re2-f2
Qc3-d4 Kg8-h7 Qd4-c4 Rf5-e5 Qc4-b3 Rf2-f6 Kg4-h3 Rf6-f5 Qb3-d3 Rf5-f2
Qd3-c3 Re5-d5 Qc3-a3 Rf2-d2 Qa3-f8 Rd5-f5 Qf8-b4) -0.71/31 10} Kh7 {(Kg8-h7
Qd6-d3 Re2-f2 Qd3-b3 Re5-f5 Qb3-e3 Rf2-f3 Qe3-d4 Rf3-a3 Kh3-g2 Ra3-a2+
Kg2-h3 Ra2-e2 Qd4-c3 Kh7-g8 Qc3-d3 Re2-e5 Qd3-a3 Rf5-f2 Qa3-d3 Rf2-a2
Qd3-b3 Ra2-e2 Qb3-c3 Re5-d5 Qc3-c8+ Kg8-h7 Qc8-b7 Rd5-f5 g3-g4 Re2-e3+
Kh3-g2 Rf5-f4 h4-h5 Rf4xg4+ Kg2-f2) +0.94/31 7} 13. Qd4 {(Qd6-d4 Re5-f5
Kh3-g4 Re2-f2 Kg4-h3 Kh7-g8 Kh3-g4 Rf2-f3 Kg4-h3 Rf3-a3 Kh3-h2 Ra3-a2+
Kh2-h3 Rf5-f2 Qd4-e3 Ra2-b2 Qe3-e5 Rb2-e2 Qe5-c3 Re2-d2 Qc3-c8+ Kg8-h7
Qc8-b7 Kh7-g7 Qb7-c7 Rf2-h2+ Kh3-g4 Rd2-d4+ Kg4-f3 Rd4-d3+ Kf3-e4 Rd3-d2
Qc7-c3+ Kg7-h7 Ke4-f3 Rh2-f2+ Kf3-g4 Rd2-d5) -0.71/31 3} Rf5 {(Re5-f5
Qd4-c3 Kh7-g8 Qc3-d3 Re2-e5 Qd3-a3 Re5-b5 Kh3-g2 Rb5-b8 Qa3-d3 Rb8-b2+
Kg2-h3 Rf5-f2 Kh3-g4 Rb2-d2 Qd3-e3 Rd2-e2 Qe3-c5 Re2-c2 Qc5-d4 Rf2-f5
Kg4-h3 Rc2-c5 Qd4-b4 Rc5-b5 Qb4-c4 Rf5-c5 Qc4-a4 Rc5-d5 Qa4-a8+ Kg8-g7
Qa8-a1+ Kg7-h7 Qa1-a3 Rb5-c5 g3-g4 Rc5-c7 Kh3-g3) +0.86/32 13} 14. Kg4
{(Kh3-g4 Re2-f2 Kg4-h3 Kh7-g8 Kh3-g4 Rf2-f3 Kg4-h3 Rf3-a3 Kh3-h2 Ra3-a2+
Kh2-h3 Rf5-f2 Kh3-g4 Ra2-e2 Qd4-c5 Rf2-f5 Qc5-c3 Re2-e4+ Kg4-h3 Rf5-d5
Kh3-g2 Re4-d4 Qc3-c7 Rd4-d3 Qc7-b8+ Kg8-h7 Qb8-f8 Rd5-f5 Qf8-b4 Rf5-f3
g3-g4 Rf3-g3+ Kg2-f2 Rd3-f3+ Kf2-e2 Rf3-e3+ Ke2-f2 Rg3-f3+ Kf2-g2) -0.68/30
5} Ree5 {(Re2-e5 Kg4-h3 Re5-e2 Qd4-c3 Kh7-g8 Qc3-d3 Re2-f2 Qd3-d4 Rf2-c2
Qd4-d8+ Kg8-h7 Qd8-d3 Rc2-f2 Qd3-d4 Rf2-a2 Qd4-d3 Rf5-c5 Qd3-b3 Ra2-f2
Qb3-d3 Rc5-e5 Qd3-b3 Rf2-f5 Qb3-d3 Re5-d5 Qd3-e4 Kh7-g7 Qe4-c4 Rd5-d1
Qc4-c3+ Kg7-g8 Kh3-g2 Rf5-d5 Kg2-f2 Rd5-d3 Qc3-c7 Rd1-d2+ Kf2-e1 Rd2-b2)
+0.85/32 8} 15. Kh3 {(Kg4-h3 Re5-d5 Qd4-e4 Kh7-g7 Qe4-c4 Rd5-c5 Qc4-d4+
Kg7-g8 Qd4-d8+ Kg8-h7 Qd8-d3 Rf5-f2 Qd3-e3 Rc5-c2 Kh3-g4 Rf2-f5 Qe3-d3
Rc2-h2 Qd3-c3 Rh2-e2 Qc3-d4 Re2-f2 Kg4-h3 Rf2-c2 Qd4-d3 Rf5-f2 h4-h5 f7-f5
Kh3-h4 Rf2-h2+ Kh4-g5 Rh2xh5+ Kg5-f6) -0.61/27 3} Rd5 {(Re5-d5 Qd4-e4
Kh7-g7 Qe4-c4 Rd5-d1 Qc4-c3+ Kg7-h7 Kh3-g2 Rd1-d5 Qc3-c2 Rd5-d4 Qc2-c3
Rd4-d1 Qc3-b4 Rf5-d5 g3-g4 Rd1-d4 Qb4-f8 Rd4-f4 Kg2-g3 Rd5-d4 Kg3-h2 Rd4-d3
Qf8-e7 Rd3-d5 Kh2-g3 Rd5-d4 Kg3-h2 Rd4-e4 Qe7-f8 Re4-e3 h4-h5 g6xh5 g4xh5
Rf4-f5) +0.85/31 7} 16. Qe4 {(Qd4-e4 Kh7-g7 Qe4-e3 Rf5-e5 Qe3-c3 Rd5-c5
Qc3-d4 Kg7-g8 Qd4-b4 Re5-d5 Qb4-b8+ Kg8-g7 Qb8-b2+ Kg7-h7 Qb2-b3 Rd5-d7
Qb3-b4 Rc5-d5 Kh3-g2 Rd5-d4 Qb4-f8 Rd4-d3 Kg2-f2 Rd7-c7 h4-h5 g6xh5 Qf8-e8
Rc7-c2+ Kf2-e1) -0.61/27 5} Rde5 {(Rd5-e5 Qe4-d4 Re5-e2 Kh3-g4 Kh7-g8
Qd4-d8+ Kg8-g7 Qd8-d3 Re2-e5 Kg4-h3 Re5-d5 Qd3-e3 Rd5-d1 Qe3-c3+ Kg7-h7
Kh3-g2 Rd1-d5 Qc3-c2 Rd5-d4 Qc2-c3 Rd4-d1 Qc3-b4 Rf5-d5 g3-g4 Rd5-d4 Qb4-f8
Rd4-f4 Kg2-g3 Rd1-d4 Kg3-h2 Rd4-d3 Qf8-e7 Rf4-f2+ Kh2-g1 Rd3-d2 h4-h5 g6xh5
Qe7-e4+ Kh7-h6 Qe4-e3+ Kh6-g6 g4xh5+ Kg6xh5) +0.85/32 11} 17. Qd4 {(Qe4-d4
Re5-c5 Qd4-d3 Rf5-f2 Qd3-e3 Rc5-c2 Kh3-g4 Rf2-f5 Qe3-d3 Rc2-b2 Qd3-c3
Rb2-f2 Qc3-e3 Kh7-g8 Qe3-e8+ Kg8-g7 Qe8-e3 Rf2-c2 Qe3-b3 Rf5-c5 Qb3-d3
Kg7-g8 Kg4-h3 Rc2-f2 Qd3-d4 Rc5-c2 Kh3-g4 Rc2-e2 Qd4-c5 Rf2-f5 Qc5-c3
Re2-f2 Qc3-d4 Rf2-f3) -0.68/29 6} Re2 {(Re5-e2 Kh3-g4 Kh7-g8 Qd4-d8+ Kg8-g7
Qd8-d3 Re2-e5 Kg4-h3 Re5-c5 Qd3-a3 Rc5-d5 Qa3-e3 Rd5-d1 Kh3-g2 Rf5-d5
Qe3-c3+ Kg7-h7 Qc3-c7 Rd5-d7 Qc7-c5 Rd7-d2+ Kg2-f3 Rd2-d5 Qc5-c7 Rd1-d3+
Kf3-e2 Rd5-d7 Qc7-b8 Rd3-d2+ Ke2-e3 Rd7-d3+ Ke3-e4 Rd3-a3 h4-h5 Rd2-e2+
Ke4-d4 g6xh5 Qb8-b5) +0.85/32 5} 18. Kg4 {(Kh3-g4 Rf5-f2 Qd4-c3 Re2-e4+
Kg4-h3 Re4-e6 Qc3-c5 Re6-e2 Kh3-g4 Re2-e4+ Kg4-h3 Rf2-f5 Qc5-c1 Re4-e2
Qc1-c3 Rf5-f1 Qc3-d3 Rf1-f2 Qd3-d5 Re2-d2 Qd5-c5 Rf2-f5 Qc5-c3 Rf5-d5
Qc3-c7 Kh7-g8 Qc7-c8+ Rd5-d8 Qc8-c7 Rd2-d7 Qc7-c4 Rd7-d4 Qc4-c7 Rd4-d2
Qc7-f4 Rd8-d5 Qf4-f3) -0.71/31 6} Kg8 {(Kh7-g8 Qd4-d8+ Kg8-g7 Qd8-d3 Re2-e5
Kg4-h3 Re5-c5 Qd3-a3 Rc5-c2 Qa3-d3 Rc2-a2 Qd3-d4+ Kg7-g8 Qd4-d8+ Kg8-h7
Qd8-d3 Rf5-f2 Kh3-g4 Ra2-a4+ Kg4-h3 Ra4-a5 Qd3-d4 Ra5-f5 Qd4-e3 Rf2-f3
Qe3-d4 Rf3-a3 Kh3-g2 Ra3-b3 g3-g4 Rf5-a5 Qd4-f2 Kh7-g8 Qf2-e2 Rb3-b4 h4-h5
g6xh5 g4xh5) +0.85/32 8} 19. Qd8+ {(Qd4-d8+ Kg8-g7 Qd8-d3 Rf5-f2 Qd3-d4+
Kg7-g8 Qd4-c5 Rf2-f5 Qc5-c3 Re2-f2 Qc3-d4 Rf2-c2 Kg4-h3 Rc2-c5 Qd4-d8+
Kg8-h7 Qd8-d3 Rf5-d5 Qd3-b3 Rd5-d7 Qb3-b4 Rc5-d5 Kh3-g2 Rd5-d4 Qb4-b8
Rd7-d5 Qb8-c7 Rd4-d2+ Kg2-f3 Rd5-f5+ Kf3-e3 Rd2-g2 Ke3-e4 Rf5-f2) -0.62/29
4} Kg7 {(Kg8-g7 Qd8-d3 Re2-e5 Kg4-h3 Re5-c5 Qd3-a3 Rc5-c2 Qa3-d3 Rc2-a2
Qd3-d4+ Kg7-g8 Qd4-d3 Kg8-h7 Kh3-g4 Ra2-f2 Qd3-e3 Rf2-c2 Qe3-d3 Rf5-c5
Qd3-d7 Rc2-f2 Qd7-d4 Rf2-f5 Kg4-h3 Kh7-g8 Qd4-e3 Rf5-e5 Qe3-f4 Re5-e2
Qf4-d4 Rc5-c2 Qd4-d8+ Kg8-h7 Kh3-g4) +0.86/32 5} 20. Qd3 {(Qd8-d3 Rf5-f2
Qd3-d4+ Kg7-g8 Qd4-c5 Rf2-f5 Qc5-c3 Re2-f2 Qc3-d4 Rf2-c2 Kg4-h3 Rc2-c5
Qd4-d8+ Kg8-h7 Qd8-d3 Rf5-f2 Qd3-e3 Rc5-c2 Kh3-g4 Rf2-f5 Qe3-d3 Rc2-h2
Qd3-c3 Rh2-a2 Qc3-d3 Ra2-a5 Kg4-h3 Ra5-c5 g3-g4 Rf5-d5 Qd3-b3 Rd5-d7 Kh3-g3
Rd7-c7 Qb3-d1 Rc5-c3+ Kg3-f2) -0.62/33 8} Ree5 {(Re2-e5 Kg4-h3 Re5-c5
Qd3-a3 Rc5-c2 Qa3-d3 Rc2-a2 Qd3-d4+ Kg7-g8 Qd4-d3 Rf5-e5 Qd3-b3 Ra2-e2
Kh3-g4 Re5-c5 Qb3-d3 Re2-e5 Kg4-h3 Re5-d5 Qd3-a3 Rc5-c8 Qa3-b3 Rc8-d8
Qb3-c4 Rd5-d2 Qc4-c7 Rd8-d5 Kh3-g4 Rd2-d3 Kg4-h3 Kg8-g7 Kh3-g2) +0.86/32 5}
21. Kh3 {(Kg4-h3 Re5-c5 Qd3-b3 Rf5-f2 Qb3-e3 Rc5-c2 Kh3-g4 Rf2-f5 Qe3-d4+
Kg7-g8 Qd4-d8+ Kg8-h7 Qd8-d3 Rc2-b2 Qd3-c3 Rb2-f2 Qc3-e3 Kh7-g8 Qe3-d4
Rf2-f3 Kg4-h3 Rf3-a3 Kh3-h2 Ra3-a2+ Kh2-h3 Rf5-f2 Kh3-g4 Ra2-e2 Qd4-c5
Rf2-f5 Qc5-c3 Re2-e5 Kg4-h3 Re5-c5 Qc3-b2 Rf5-f3) -0.62/31 8} Rc5 {(Re5-c5
Qd3-a3 Rc5-c2 Qa3-d3 Rc2-a2 Qd3-d4+ Kg7-g8 Qd4-d3 Rf5-e5 Qd3-b3 Ra2-e2
Kh3-g4 Re5-c5 Qb3-d3 Re2-c2 Qd3-d8+ Kg8-h7 Qd8-e7 Rc5-f5 Qe7-e3 Kh7-g8
Qe3-d4 Rc2-c5 Qd4-b2 Rf5-d5 Kg4-f3 Rd5-d3+ Kf3-e2 Rd3-d8 g3-g4 Rc5-c4
Ke2-f3 Rd8-d3+ Kf3-e2 Rd3-d4 h4-h5) +0.86/32 6} 22. Qa3 {(Qd3-a3 Rc5-c2
Qa3-d3 Rf5-f2 Kh3-g4 Rc2-e2 Qd3-d4+ Kg7-g8 Qd4-c5 Rf2-f5 Qc5-c3 Re2-e5
Kg4-h3 Re5-c5 Qc3-b4 Kg8-h7 Kh3-g2 Rc5-c2+ Kg2-h3 Rc2-e2 Qb4-c3 Rf5-f1
Qc3-d3 Rf1-f2 Qd3-d5 Re2-d2 Qd5-c5 Rd2-c2 Qc5-d4 Kh7-g8 Qd4-d8+ Kg8-g7
Qd8-d4+ Kg7-h7 Kh3-g4 Rc2-d2 Qd4-e3) -0.66/33 15} Rc2 {(Rc5-c2 Qa3-d3
Rc2-a2 Qd3-d4+ Kg7-g8 Qd4-d3 Rf5-e5 Qd3-b3 Ra2-e2 Kh3-g4 Re5-c5 Qb3-d3
Re2-c2 Kg4-h3 Rc2-f2 Qd3-d4 Rc5-c2 Kh3-g4 Rc2-d2 Qd4-e3 Rd2-e2 Qe3-c5
Rf2-f5 Qc5-c3 Re2-f2 Qc3-e3 Rf2-c2 Qe3-d4 Rc2-c5 Qd4-b2 Rf5-d5 Kg4-f3
Rd5-d3+ Kf3-e2 Rd3-d8) +0.86/33 6} 23. Qd6 {(Qa3-d6 Rc2-c5 Qd6-d2 Kg7-h7
Qd2-d3 Kh7-g8 Kh3-g2 Rf5-d5 Qd3-e2 Rd5-d8 Qe2-e3 Rc5-d5 Qe3-b6 Rd8-c8
Qb6-b2 Rd5-d3 Kg2-f2 Rd3-c3 Qb2-b4 Rc3-c4 Qb4-b5 Rc4-c5 Qb5-d7 Rc5-f5+
Kf2-g2 Rc8-c2+ Kg2-h3 Rf5-f2 Qd7-d8+ Kg8-h7 Qd8-d5 Rc2-e2 Kh3-g4 Re2-d2
Qd5-e5 Rf2-f5) -0.66/31 4} Rff2 {(Rf5-f2 Qd6-d4+ Kg7-g8 Kh3-g4 Rc2-d2
Qd4-e3 Rd2-e2 Qe3-c5 Rf2-f5 Qc5-c8+ Kg8-h7 Qc8-c4 Re2-e5 Kg4-h3 Rf5-f2
Qc4-d3 Re5-e2 Qd3-d5 Kh7-g7 Kh3-g4 Kg7-h6 Qd5-g5+ Kh6-h7 Qg5-c5 Re2-e4+
Kg4-h3 Rf2-f5 Qc5-c3 Re4-e2 Kh3-g4 Re2-f2 Qc3-e3 Rf2-c2 Qe3-d3 Rc2-c5
Kg4-h3) +0.86/32 6} 24. Qd4+ {(Qd6-d4+ Kg7-g8 Kh3-g4 Rf2-f5 Qd4-d8+ Kg8-h7
Qd8-d3 Rc2-c5 Kg4-h3 Kh7-g8 Qd3-e3 Rf5-d5 Qe3-e8+ Kg8-g7 Qe8-e3 Rc5-c2
Qe3-f3 Rd5-d2 Qf3-e3 Rd2-e2 Qe3-d4+ Kg7-h7 Qd4-d5 Re2-f2 Kh3-g4 Rc2-d2
Qd5-c5 Rf2-f5 Qc5-c4 Rd2-f2 Qc4-d4 Rf2-e2 Qd4-d3 Re2-e5 Qd3-c3 Re5-c5
Qc3-d3 Rf5-d5 Qd3-b3 Rd5-d4+ Kg4-f3) -0.66/34 6} Kg8 {(Kg7-g8 Kh3-g4 Rf2-f5
Qd4-d8+ Kg8-h7 Qd8-d3 Rc2-f2 Qd3-d4 Rf2-f3 Kg4-h3 Rf3-a3 Kh3-g2 Ra3-a2+
Kg2-h3 Kh7-g8 Qd4-d3 Rf5-e5 Qd3-b3 Ra2-e2 Kh3-g4 Re5-f5 Qb3-d3 Re2-e5
Qd3-d8+ Kg8-h7 Qd8-d4 Re5-d5 Qd4-c4 Rd5-c5 Qc4-b3 Rf5-f2 Qb3-e3 Rf2-c2
Qe3-e7 Rc5-f5 Qe7-e3 Kh7-g8) +0.86/33 5} 25. Kg4 {(Kh3-g4 Rf2-f5 Qd4-d8+
Kg8-h7 Qd8-d3 Rc2-c5 Kg4-h3 Rf5-d5 Qd3-b3 Rd5-d7 Qb3-b4 Rc5-d5 Kh3-g2
Rd5-d4 Qb4-b8 Rd7-d5 Qb8-c7 Rd4-d2+ Kg2-f3 Rd5-f5+ Kf3-e3 Rd2-g2 Qc7-b8
Rf5-a5 Ke3-f3 Rg2-c2 Qb8-b3 Ra5-f5+ Kf3-g4 Rc2-c5 Kg4-h3 Rf5-d5 Kh3-g4
Rd5-d4+ Kg4-h3 Rc5-d5 Qb3-c3 Rd4-d3 Qc3-c4 Rd3-d1 Kh3-g2) -0.66/35 8} Rf5
{(Rf2-f5 Qd4-d8+ Kg8-h7 Qd8-d3 Rc2-f2 Qd3-d4 Rf2-f3 Kg4-h3 Rf3-a3 Kh3-g2
Ra3-b3 Qd4-c4 Rb3-b2+ Kg2-h3 Rf5-f2 Qc4-d5 Rb2-d2 Qd5-c4 Rd2-e2 Qc4-c7
Re2-b2 Qc7-c5 Rb2-c2 Qc5-d4 Rc2-e2 Qd4-d5 Kh7-g8 Kh3-g4 Rf2-f5 Qd5-d3
Re2-e5 Qd3-d8+ Kg8-h7 Qd8-d4 Re5-d5 Qd4-c4 Rd5-c5 Qc4-b3) +0.86/34 6} 26.
Kh3 {(Kg4-h3 Rc2-c5 Qd4-d8+ Kg8-g7 Qd8-d2 Rf5-d5 Qd2-b2+ Kg7-h7 Qb2-b3
Rd5-d7 Qb3-b4 Rc5-d5 Kh3-g2 Rd5-d4 Qb4-f8 Rd7-c7 Qf8-a3 Rd4-d2+ Kg2-h3
Rc7-d7 Qa3-f3 Rd2-d5 Qf3-f2 Kh7-g7 Qf2-b2+ Kg7-g8 Qb2-b6 Rd7-d8 Kh3-g2
Rd8-c8 Qb6-b2 Rd5-d3 Kg2-f2 Rd3-c3 Qb2-b4 Rc3-c2+ Kf2-e3 Rc8-c3+ Ke3-d4)
-0.66/35 7} Re2 {(Rc2-e2 Qd4-d3 Re2-a2 Qd3-d8+ Kg8-h7 Qd8-d4 Ra2-f2 Qd4-e4
Rf2-f3 Kh3-g2 Rf3-c3 Qe4-d4 Rc3-c2+ Kg2-h3 Rc2-a2 Qd4-d3 Rf5-e5 Qd3-f3
Kh7-g8 Qf3-b3 Ra2-e2 Kh3-g4 Re5-f5 Qb3-d3 Re2-e5 Qd3-d8+ Kg8-h7 Qd8-d4
Re5-a5 Qd4-c3 Ra5-d5 Qc3-c4 Rd5-c5 Qc4-b3 Rc5-e5 Qb3-d3 Rf5-f2 Kg4-h3)
+0.86/35 32} 27. Qd3 {(Qd4-d3 Re2-f2 Qd3-d8+ Kg8-h7 Qd8-d4 Rf2-c2 Qd4-d3
Rc2-c5 Qd3-d4 Rf5-d5 Qd4-b4 Rc5-c7 Qb4-b6 Rc7-e7 Qb6-c6 Re7-d7 Kh3-g2
Rd7-d6 Qc6-c4 Rd5-d2+ Kg2-f3 Rd6-f6+ Kf3-g4 Rf6-f2 Qc4-c5 Rf2-f5 Qc5-c4
Rd2-f2 Qc4-d4 Rf2-e2 Qd4-c4 Re2-e5) -0.66/31 5} Ref2 {(Re2-f2 Qd3-d8+
Kg8-h7 Qd8-d4 Rf2-a2 Qd4-d3 Rf5-e5 Qd3-c3 Ra2-e2 Qc3-f3 Kh7-g7 Qf3-d3
Kg7-g8 Qd3-d4 Kg8-h7 Qd4-c3 Re5-f5 Kh3-g4 Re2-f2 Qc3-e3 Kh7-g8 Qe3-e8+
Kg8-g7 Qe8-e3 Rf2-c2 Qe3-d4+ Kg7-g8 Qd4-d8+ Kg8-h7 Qd8-d3 Rc2-c5 Kg4-h3
Rf5-f2 Qd3-e3 Rc5-c2 Kh3-g4) +0.85/34 6} 28. Qd8+ {(Qd3-d8+ Kg8-h7 Qd8-d4
Rf2-c2 Qd4-d3 Rc2-c5 Qd3-b3 Rf5-f2 Qb3-e3 Rc5-c2 Kh3-g4 Rc2-e2 Qe3-c5
Kh7-h6 Kg4-h3 Re2-d2 Qc5-c3 Kh6-h7 Kh3-g4 Rd2-d5 Kg4-h3 Rf2-d2 Qc3-c7
Rd5-f5 Qc7-c3 Rd2-e2 Kh3-g4 Re2-f2 Qc3-e3 Kh7-g8 Qe3-d4 Rf2-c2 Kg4-h3
Rc2-c5 Qd4-d8+ Kg8-g7 Qd8-d2) -0.66/33 6} Kh7 {(Kg8-h7 Qd8-d4 Rf2-a2 Qd4-d3
Rf5-e5 Qd3-c3 Ra2-e2 Qc3-f3 Kh7-g8 Qf3-a8+ Re5-e8 Qa8-f3 Kg8-g7 Qf3-d3
Re8-e5 Qd3-f3 Re2-e3 Qf3-f4 Kg7-g8 Kh3-g2 Re3-e4 Qf4-c1 Re5-f5 Qc1-d2
Kg8-h7 Qd2-c2 Re4-e3 Qc2-c4 Re3-f3 Qc4-c2 Rf3-a3 Qc2-c4 Rf5-f3 g3-g4
Rf3-g3+ Kg2-f2) +0.85/34 7} 29. Qd4 {(Qd8-d4 Rf2-c2 Qd4-d3 Rc2-c5 Qd3-b3
Rf5-f2 Qb3-e3 Rc5-c2 Kh3-g4 Rf2-f5 Qe3-d3 Rc2-c5 Qd3-e3 Kh7-g8 Qe3-b3
Rf5-f2 Qb3-e3 Rc5-c4+ Kg4-h3 Rc4-c2 Kh3-g4 Rf2-f5 Qe3-d3 Rc2-c8 Kg4-h3
Rc8-c5 Kh3-g2 Rf5-d5 Qd3-e2 Rd5-d4 Qe2-e8+ Kg8-g7 Qe8-e3 Rd4-d5 Kg2-f3
Rd5-f5+ Kf3-g4 Kg7-h7 Kg4-h3 Kh7-g8 Qe3-d3 Rf5-d5) -0.66/36 8} Ra2 {(Rf2-a2
Qd4-d3 Rf5-f2 Kh3-g4 Ra2-a4+ Kg4-h3 Ra4-a5 Qd3-d4 Ra5-f5 Kh3-g4 Rf2-f3
Kg4-h3 Kh7-g8 Qd4-d8+ Kg8-g7 Kh3-g2 Rf3-f2+ Kg2-h3 Kg7-h7 Qd8-d4 Rf2-c2
Qd4-d3 Rc2-a2 Kh3-g4 Ra2-a5 Kg4-h3 Ra5-d5 Qd3-e4 Rf5-e5 Qe4-c4 Rd5-d7 g3-g4
Re5-d5 Kh3-g3 Rd5-d3+ Kg3-f2 Rd3-d4 Qc4-c6) +0.85/34 6} 30. Qe3 {(Qd4-e3
Rf5-f2 Kh3-g4 Ra2-e2 Qe3-c5 Re2-e4+ Kg4-h3 Rf2-f5 Qc5-c3 Re4-e2 Kh3-g4
Re2-e5 Kg4-h3 Re5-c5 Qc3-e3 Kh7-g8 Qe3-d3 Rf5-d5 Qd3-f3 Kg8-g7 Qf3-a3
Rc5-c4 Qa3-b3 Rc4-d4 Qb3-c3 Kg7-g8 Qc3-c8+ Rd5-d8 Qc8-c5 Rd4-d2 Qc5-c4
Rd2-d3 Qc4-c7 Rd8-d5 Qc7-b8+ Kg8-h7 Qb8-b4 Rd5-d4 Qb4-e7 Rd4-d7) -0.66/33
6} Kg8 {(Kh7-g8 Qe3-c3 Ra2-f2 Qc3-d4 Rf2-f3 Kh3-g2 Rf3-a3 Qd4-d8+ Kg8-h7
Qd8-d4 Ra3-a2+ Kg2-h3 Ra2-c2 Qd4-d3 Rc2-b2 Kh3-g4 Rb2-f2 Qd3-d4 Rf2-e2
Qd4-c3 Re2-a2 Qc3-d3 Ra2-a5 Kg4-h3 Ra5-d5 Qd3-e4 Rf5-e5 Qe4-c4 Rd5-d7 g3-g4
Re5-d5 Kh3-g3 Rd5-d3+ Kg3-f2 Rd3-d4 Qc4-c6 Rd4-f4+ Kf2-e3 Rd7-d4) +0.85/32
8} 31. Qc3 {(Qe3-c3 Ra2-f2 Qc3-d4 Rf2-c2 Qd4-d8+ Kg8-g7 Qd8-d4+ Kg7-h7
Qd4-d3 Rc2-c5 Qd3-b3 Rf5-f2 Qb3-e3 Rc5-c2 Kh3-g4 Rf2-f5 Qe3-d3 Rc2-c5
Qd3-e3 Kh7-g8 Qe3-e8+ Kg8-g7 Qe8-e3 Kg7-h7 Kg4-h3 Kh7-g8 Qe3-d3 Rc5-d5
Qd3-c4 Rd5-d2 Qc4-c8+ Kg8-h7 Qc8-c4 Rf5-f2 Qc4-c5 Rd2-c2 Qc5-d4 Rc2-e2)
-0.66/35 5} Kh7 {(Kg8-h7 Kh3-g4 Ra2-f2 Qc3-d4 Rf2-f3 Kg4-h3 Rf3-a3 Kh3-g2
Ra3-a2+ Kg2-h3 Ra2-c2 Qd4-d3 Rc2-f2 Qd3-d4 Rf2-a2 Qd4-d3 Rf5-e5 Qd3-c3
Ra2-e2 Qc3-f3 Kh7-g7 Qf3-c3 Kg7-g8 Qc3-b3 Re2-e3 Qb3-b6 Kg8-h7 Qb6-d4
Re3-e2 Qd4-c3 Re5-f5 Kh3-g4 Re2-a2 Qc3-d3 Rf5-e5 Qd3-c3) +0.85/34 9} 32.
Kg4 {(Kh3-g4 Ra2-f2 Qc3-e3 Rf2-c2 Qe3-d3 Rc2-c5 Qd3-e3 Kh7-g8 Qe3-e8+
Kg8-g7 Qe8-e3 Kg7-h7 Kg4-h3 Kh7-g8 Qe3-d3 Rf5-d5 Qd3-f3 Kg8-g7 Qf3-a3
Rc5-c4 Qa3-a1+ Rc4-d4 Qa1-c3 Kg7-g8 Qc3-c8+ Rd5-d8 Qc8-c5 Rd4-d2 Qc5-c4
Rd8-d5 Qc4-c8+ Kg8-h7 Qc8-c7 Rd5-f5 Qc7-c3 Rf5-f2 Kh3-g4 Rd2-d5 Kg4-h3)
-0.66/36 5} Ra4+ {(Ra2-a4+ Kg4-h3 Ra4-a2 Qc3-d3 Ra2-f2 Qd3-d4 Rf2-c2 Qd4-d3
Rc2-a2 Kh3-g4 Ra2-f2 Qd3-d4 Rf2-e2 Qd4-c3 Re2-e6 Kg4-h3 Re6-d6 Qc3-b4
Rf5-d5 Kh3-g2 Rd5-d4 Qb4-b7 Rd6-d7 Qb7-c8 Rd7-d5 Qc8-b8 Rd5-f5 Qb8-b2
Rd4-c4 Kg2-h3 Rc4-c5 Qb2-b3 Rf5-f2 Qb3-e3 Rc5-c2 Kh3-g4) +0.85/33 5} 33.
Kh3 {(Kg4-h3 Ra4-a2 Kh3-g4 Ra2-f2 Qc3-e3 Rf2-c2 Qe3-d3 Rc2-c5 Qd3-e3 Kh7-g8
Qe3-e8+ Kg8-g7 Qe8-e3 Kg7-h7 Kg4-h3 Kh7-g8 Qe3-b3 Rf5-f2 Qb3-e3 Rc5-c2
Kh3-g4 Rc2-c4+ Kg4-h3 Rf2-f5 Qe3-d2 Rc4-c5 Kh3-g2 Rf5-d5 Qd2-e2 Rd5-d4
Qe2-e8+ Kg8-g7 Qe8-e3 Rd4-d5 Kg2-f3 Rc5-c4 Kf3-g2 Rc4-c2+ Kg2-f3 Kg7-h7
Qe3-b3 Rd5-f5+ Kf3-g4) -0.66/38 7} Ra2 {(Ra4-a2 Qc3-d3 Ra2-f2 Qd3-d4 Kh7-g8
Qd4-d8+ Kg8-g7 Qd8-d4+ Kg7-h7 Kh3-g4 Rf2-e2 Qd4-c3 Re2-e5 Kg4-h3 Re5-d5
Kh3-g2 Kh7-g8 Qc3-c8+ Kg8-g7 Qc8-c3+ Kg7-h7 Qc3-b2 Rd5-a5 Qb2-b3 Ra5-c5
Kg2-h3 Rf5-f2 Qb3-e3 Rc5-c2 Kh3-g4 Rf2-f5 Qe3-d3 Rc2-c5 Kg4-h3 Rf5-d5
Qd3-b3 Rd5-d7 Qb3-b4 Rc5-d5 Kh3-g2 Rd5-d2+ Kg2-f3) +0.85/34 6} 34. Kg4
{(Kh3-g4 Ra2-f2 Qc3-e3 Rf2-c2 Qe3-d3 Rc2-c5 Qd3-e3 Rc5-e5 Qe3-c3 Re5-d5
Qc3-c4 Rd5-c5 Qc4-b3 Rf5-f2 Kg4-h3 Rc5-e5 Qb3-c3 Re5-d5 Qc3-e3 Rf2-d2
Qe3-e7 Kh7-g7 Qe7-a3 Kg7-g8 Qa3-c3 Rd2-d3 Qc3-b4 Rd3-d4 Qb4-b3 Rd5-d8
Qb3-b5 Rd4-d2 Qb5-c4 Kg8-g7 Qc4-c3+ Rd8-d4 Qc3-c7 Rd4-d5 Qc7-c3+ Kg7-g8
Qc3-c8+ Kg8-h7) -0.66/39 10} Raa5 {(Ra2-a5 Kg4-h3 Ra5-d5 Kh3-g2 Kh7-g8
Qc3-c8+ Kg8-g7 Qc8-c3+ Kg7-h7 Qc3-b2 Rd5-a5 Qb2-c2 Ra5-b5 Qc2-a2 Rb5-b7
Qa2-d2 Rb7-c7 Qd2-d3 Rc7-c5 Qd3-b3 Rc5-c8 Qb3-d3 Rc8-c7 Kg2-h3 Rc7-a7
Qd3-c3 Rf5-d5 Qc3-c6 Ra7-d7 Qc6-c8 Rd5-d1 Qc8-f8 Rd1-d3 Kh3-g2 Rd7-c7 h4-h5
g6xh5) +0.85/33 7} 35. Kh3 {(Kg4-h3 Ra5-c5 Qc3-b3 Rf5-f2 Qb3-d3 Rc5-e5
Qd3-c3 Re5-d5 Qc3-e3 Rf2-d2 Qe3-e7 Rd5-f5 Qe7-e3 Rd2-c2 Qe3-d4 Rc2-a2
Qd4-c4 Rf5-f2 Qc4-c5 Ra2-c2 Qc5-e5 Rc2-e2 Qe5-d5 Re2-d2 Qd5-c5 Kh7-g8
Kh3-g4 Rf2-f5 Qc5-c8+ Kg8-h7 Qc8-c4 Rd2-f2 Qc4-e4 Rf5-c5 Qe4-d3 Rc5-e5
Qd3-c3 Re5-d5 Kg4-h3) -0.66/36 6} Rad5 {(Ra5-d5 Kh3-g2 Kh7-g8 Qc3-c8+
Kg8-g7 Qc8-c3+ Kg7-h7 Qc3-b2 Rd5-b5 Qb2-a2 Rb5-c5 Qa2-b3 Rc5-c7 Qb3-d3
Rc7-b7 Kg2-h3 Rb7-b2 Kh3-g4 Rb2-f2 Qd3-d4 Rf2-e2 Qd4-c3 Re2-a2 Qc3-c4
Ra2-a5 Kg4-h3 Ra5-c5 Qc4-d4 Rc5-c2 Qd4-d3 Rf5-c5 Qd3-e4 Rc2-d2 Qe4-f4
Rd2-d7 Qf4-b4) +0.85/33 6} 36. Kg2 {(Kh3-g2 Rd5-d7 Qc3-c1 Rd7-d4 Qc1-c3
Rf5-d5 Kg2-f2 Rd4-d2+ Kf2-e3 Rd2-g2 Ke3-f3 Rg2-h2 Kf3-e3 Rd5-f5 Qc3-c6
Rf5-e5+ Ke3-f4 Re5-e6 Qc6-c5 Re6-f6+ Kf4-g4 Rf6-f5 Qc5-c3 Rh2-a2 Qc3-d3
Ra2-f2 Qd3-e3 Rf2-c2 Qe3-d3 Rc2-c5 Qd3-e3 Rc5-d5 Kg4-h3 Rf5-f1 Kh3-g2
Rf1-d1) -0.66/28 6} Rd1 {(Rd5-d1 Qc3-b4 Rd1-c1 Qb4-d2 Rc1-c4 Kg2-h3 Kh7-g7
Kh3-g2 Rf5-c5 Qd2-d3 Rc4-c2+ Kg2-h3 Kg7-h7 Qd3-d4 Rc5-f5 Qd4-d3 Rc2-b2
Kh3-g4 Rb2-f2 Qd3-d4 Rf2-f3 Kg4-h3 Rf3-a3 Kh3-g2 Ra3-a2+ Kg2-h3 Kh7-g8
Qd4-d8+ Kg8-g7 Qd8-d4+ Kg7-h7 Qd4-d3 Rf5-f2 Kh3-g4 Ra2-d2 Qd3-e3 Rd2-e2)
+0.85/31 5} 37. Qb4 {(Qc3-b4 Rf5-d5 Kg2-f2 Rd1-d4 Qb4-c3 Rd4-d2+ Kf2-e3
Rd2-g2 Ke3-f3 Rg2-h2 Qc3-c4 Rd5-f5+ Kf3-g4 Rh2-f2 Qc4-e4 Rf5-c5 Qe4-d4
Rf2-f5 Kg4-h3 Rc5-c2 Qd4-d3 Rc2-a2 Kh3-g4 Ra2-a5 Kg4-h3 Ra5-a4 Qd3-b3
Ra4-d4 Qb3-c3 Rf5-d5 Qc3-c7 Kh7-g8 Kh3-g2) -0.66/31 6} Rc1 {(Rd1-c1 Qb4-d2
Rc1-c4 Kg2-h3 Rc4-c5 Qd2-d4 Rc5-c2 Qd4-d3 Rc2-b2 Kh3-g4 Rb2-b7 Kg4-h3
Rb7-a7 Qd3-c3 Ra7-d7 Kh3-g2 Rd7-d5 Qc3-b2 Rd5-d3 Qb2-b4 Rd3-f3 Qb4-d4
Rf3-b3 Qd4-d7 Rb3-b5 Qd7-d4 Rf5-d5 Qd4-f2 Kh7-g7 Qf2-f3 Rd5-f5 Qf3-c3+
Kg7-g8 Qc3-c8+ Kg8-h7) +0.85/32 5} 38. Qb3 {(Qb4-b3 Rc1-c5 Kg2-g1 Rc5-b5
Qb3-a2 Rf5-f3 Qa2-c4 Rb5-f5 Kg1-g2 Rf3-f2+ Kg2-h3 Rf5-e5 Qc4-c3 Re5-d5
Qc3-e3 Rf2-d2 Qe3-e7 Rd5-f5 Qe7-e3 Rd2-c2 Kh3-g4 Rc2-f2 Qe3-e4 Rf5-c5
Qe4-d4 Rf2-f5 Kg4-h3 Rc5-c2 Qd4-d3 Rf5-c5 Qd3-e4 Rc2-f2) -0.66/30 6} Rcc5
{(Rc1-c5 Qb3-b2 Rc5-c4 Qb2-b3 Rc4-g4 Qb3-e3 Rg4-b4 Qe3-c3 Rb4-e4 Qc3-d2
Re4-c4 Kg2-h3 Rc4-c5 Qd2-d4 Rc5-c2 Qd4-d3 Rc2-b2 Kh3-g4 Rb2-f2 Qd3-d4
Rf2-e2 Qd4-c3 Re2-e5 Kg4-h3 Re5-d5 Kh3-g2 Rd5-d1 Qc3-b4 Rf5-d5 Kg2-f2
Rd1-d2+ Kf2-e3 Rd2-d3+ Ke3-e2 Kh7-g7 Qb4-c4) +0.85/33 6} 39. Qa4 {(Qb3-a4
Rf5-d5 Qa4-a2 Rc5-a5 Qa2-b3 Rd5-d2+ Kg2-h3 Ra5-f5 Qb3-c3 Rf5-f2 Kh3-g4
Rd2-d5 Kg4-h3 Kh7-g8 Qc3-c8+ Kg8-g7 Qc8-c4 Rd5-d2 Qc4-c3+ Kg7-g8 Kh3-g4
Rd2-d5 Kg4-h3 Kg8-h7 Qc3-e3 Rf2-d2 Qe3-e7 Rd5-f5 Qe7-e3 Rd2-c2 Kh3-g4
Rc2-f2) -0.66/28 5} Rfd5 {(Rf5-d5 Qa4-a7 Rd5-d2+ Kg2-h3 Rc5-f5 Qa7-e3
Rf5-d5 Qe3-c3 Kh7-g8 Qc3-c8+ Rd5-d8 Qc8-c5 Rd2-d3 Qc5-c7 Rd3-d5 Kh3-g2
Rd8-a8 Qc7-c6 Ra8-a2+ Kg2-h3 Rd5-f5 g3-g4 Ra2-a3+ Kh3-g2 Rf5-f4 Qc6-e8+
Kg8-h7 Kg2-h2 Ra3-a2+ Kh2-g3 Ra2-a4 Kg3-h2 Ra4-e4 Qe8-f8 Re4-e3) +0.85/30
8} 40. Qa7 {(Qa4-a7 Rd5-d2+ Kg2-f3 Rc5-f5+ Kf3-g4 Rd2-d5 Qa7-e3 Rd5-c5
Kg4-h3 Rf5-d5 Qe3-b3 Rd5-d7 Qb3-b4 Rc5-d5 Kh3-g2 Rd5-d4 Qb4-c5 Rd7-d5
Qc5-c3 Rd4-d2+ Kg2-h3 Rd2-d3 Qc3-b4 Rd3-d4 Qb4-f8 Rd5-f5 Qf8-a3 Kh7-g8
Qa3-e3 Rd4-c4 Qe3-d2 Rc4-c5) -0.66/30 6} Rd2+ {(Rd5-d2+ Kg2-h3 Rc5-f5
Qa7-e3 Rf5-d5 Qe3-c3 Kh7-g8 Qc3-c8+ Rd5-d8 Qc8-c5 Rd2-d3 Kh3-g2 Rd8-d5
Qc5-b4 Rd3-d4 Qb4-b6 Kg8-h7 Qb6-b3 Rd4-d2+ Kg2-h3 Rd2-d1 Qb3-c4 Kh7-g8
Qc4-c8+ Rd5-d8 Qc8-c6 Rd1-d3 Qc6-c7 Rd3-d7 Qc7-c3 Rd7-d4 Kh3-g2 Rd4-d2+
Kg2-h3 Rd8-d4 Qc3-c7) +0.85/31 6} 41. Kh3 {(Kg2-h3 Rc5-f5 Qa7-e3 Rd2-c2
Kh3-g4 Rc2-f2 Qe3-e4 Rf5-c5 Qe4-d4 Rf2-f5 Kg4-h3 Rf5-d5 Qd4-f4 Kh7-g7
Qf4-e4 Rd5-d2 Qe4-e7 Rc5-d5 Qe7-a3 Rd2-d3 Qa3-b2+ Rd3-d4 Qb2-c3 Kg7-g8
Qc3-c8+ Rd5-d8 Qc8-c7 Rd4-d2 Qc7-c4 Rd8-d5 Qc4-c3 Kg8-h7 Qc3-c7 Rd5-f5
Qc7-c3) -0.66/34 14} Rf5 {(Rc5-f5 Qa7-e3 Rf5-d5 Qe3-c3 Kh7-g8 Qc3-c8+
Rd5-d8 Qc8-c5 Rd2-d4 Qc5-c3 Rd4-d5 Qc3-c7 Rd5-d3 Qc7-c4 Rd8-d5 Qc4-c8+
Kg8-g7 Qc8-c4 Rd3-d2 Qc4-c3+ Kg7-h7 Qc3-c4 Rd5-f5 Kh3-g4 Rd2-d5 Kg4-h3
Rd5-d7 Qc4-b4 Rf5-d5 Kh3-g2 Rd5-d2+ Kg2-f3 Rd7-d3+ Kf3-e4) +0.85/32 5} 42.
Qe3 {(Qa7-e3 Rd2-c2 Kh3-g4 Rc2-f2 Qe3-e4 Rf5-c5 Qe4-d4 Rf2-f5 Kg4-h3 Rf5-d5
Qd4-f4 Kh7-g7 Qf4-e4 Rd5-d2 Qe4-e7 Rc5-d5 Qe7-a3 Rd2-f2 Qa3-e3 Rf2-c2
Qe3-e4 Rc2-d2 Qe4-c4 Rd2-d1 Qc4-c3+ Kg7-h7 Qc3-c8 Rd5-f5 Qc8-c4 Rd1-d2
Kh3-g4 Rf5-d5 Kg4-f3 Rd5-d3+ Kf3-e4 f7-f5+ Ke4-e5 Rd3-e3+ Ke5-f6 Rd2-d6+
Kf6-f7 Rd6-d7+ Kf7-f6) -0.66/36 4} Rfd5 {(Rf5-d5 Qe3-c3 Kh7-g8 Qc3-c8+
Rd5-d8 Qc8-c5 Rd2-d4 Qc5-c3 Rd4-d5 Qc3-c7 Rd5-d3 Qc7-c4 Rd8-d5 Qc4-c8+
Kg8-g7 Qc8-c4 Rd3-d2 Qc4-c3+ Kg7-h7 Qc3-c4 Rd2-d4 Qc4-c3 Rd5-d7 Qc3-c8
Rd4-d5 Qc8-e8 Kh7-g7 Qe8-b8 Rd7-d8 Qb8-c7 Rd5-d3 h4-h5 g6xh5 Qc7-e5+ f7-f6)
+0.85/34 6} 43. Qc3 {(Qe3-c3 Rd2-d3 Qc3-b4 Rd3-d1 Kh3-g2 Rd1-d2+ Kg2-h3
Kh7-g7 Qb4-e7 Rd5-f5 Qe7-e3 Rd2-c2 Qe3-d4+ Kg7-g8 Qd4-d8+ Kg8-h7 Qd8-d4
Rc2-a2 Qd4-e3 Ra2-f2 Kh3-g4 Kh7-g7 Qe3-d4+ Kg7-g8 Qd4-e3 Rf2-c2 Qe3-d3
Rc2-c5 Qd3-b3 Rc5-d5 Qb3-c4 Rd5-e5 Qc4-c3) -0.66/32 5} Rd1 {(Rd2-d1 Qc3-c7
Kh7-g7 Qc7-c3+ Kg7-g8 Qc3-c8+ Rd5-d8 Qc8-c6 Rd1-d3 Qc6-c7 Rd8-d7 Qc7-b8+
Kg8-h7 Qb8-f4 Rd3-d5 Kh3-g2 Kh7-g7 Qf4-b8 Rd5-a5 Qb8-b2+ Kg7-h7 Qb2-f2
Ra5-f5 Qf2-c2 Rd7-d5 Qc2-c3 Rd5-a5 Qc3-c4 Rf5-d5 g3-g4 Rd5-d2+ Kg2-f3
Ra5-a3+ Kf3-e4 Rd2-f2 h4-h5 g6-g5 Qc4-c5 Rf2-f4+ Ke4-d5 Ra3-d3+ Kd5-c6)
+0.85/34 9} 44. Qc8 {(Qc3-c8 Kh7-g7 Qc8-c3+ Rd5-d4 Kh3-g2 Rd1-d3 Qc3-a1
Kg7-h7 Qa1-a7 Rd4-d7 Qa7-c5 Rd3-d5 Qc5-c4 Rd5-d4 Qc4-c8 Rd7-d5 Qc8-c3
Rd4-d1 Qc3-c7 Rd1-d2+ Kg2-h3 Rd5-f5 Qc7-c4 Rf5-f2 Qc4-c5 Rd2-e2 Qc5-d5
Kh7-g8 Kh3-g4 Re2-e4+ Kg4-h3) -0.66/31 5} R1d3 {(Rd1-d3 Qc8-c4 Rd3-d2
Qc4-c3 Rd2-d1 Qc3-c7 Rd5-d7 Qc7-f4 Kh7-g8 Kh3-g2 Rd1-d2+ Kg2-h3 Rd7-d5
Qf4-b8+ Rd5-d8 Qb8-e5 Rd2-d5 Qe5-c3 Rd5-d4 Qc3-c7 Rd8-d5 Qc7-c3 Rd4-d3
Qc3-c8+ Rd5-d8 Qc8-c4 Rd3-a3 h4-h5 Rd8-d3 Qc4-c8+ Kg8-g7 h5-h6+ Kg7-h7
Qc8-f8 Rd3xg3+ Kh3-h2) +0.85/32 7} 45. Qc4 {(Qc8-c4 Rd3-d1 Kh3-g2 Rd1-d2+
Kg2-f3 Rd5-f5+ Kf3-g4 Rd2-f2 Qc4-e4 Kh7-g7 Qe4-e3 Rf2-c2 Qe3-d4+ Kg7-g8
Kg4-h3 Rf5-f2 Kh3-g4 Rc2-e2 Qd4-d3 Re2-e5 Qd3-d8+ Kg8-h7 Qd8-d3 Re5-e6
Qd3-d5 Re6-e3 h4-h5 Re3-e6 Kg4-h3 g6xh5 Qd5-d3+ Kh7-h6 Qd3-d4 Rf2-f5
Qd4-h8+ Kh6-g6 Qh8-g8+ Kg6-f6 Qg8-d8+ Kf6-g7) -0.66/31 6} Kg8 {(Kh7-g8
Qc4-c8+ Kg8-h7 Qc8-c4 Rd3-d4 Qc4-c7 Kh7-g8 Qc7-c3 Rd4-d2 Qc3-c8+ Rd5-d8
Qc8-c5 Rd2-d4 Qc5-c7 Rd4-d5 Qc7-c3 Rd8-d7 Qc3-b4 Rd5-d4 Qb4-b5 Rd7-d8
Qb5-a5 Rd4-d7 Qa5-e5 Rd7-d3 Qe5-c7 Rd8-e8 h4-h5 g6xh5 Qc7-c5 Re8-e3 Qc5-g5+
Kg8-f8 Qg5-c5+ Kf8-e8 Kh3-h4) +0.85/34 5} 46. Qe4 {(Qc4-e4 Kg8-h7 Qe4-b4
Rd3-d1 Kh3-g2 Rd1-d2+ Kg2-h3 Kh7-g8 Qb4-e4 Rd5-f5 Qe4-e3 Rf5-f2 Kh3-g4
Rd2-e2 Qe3-c1 Rf2-f5 Kg4-h3 Kg8-g7 Qc1-d1 Rf5-f2 Qd1-a1+ Kg7-h7 Qa1-a7
Rf2-f3 h4-h5 g6xh5 Qa7-c5 Rf3-f6 Qc5-g5 Re2-f2 Qg5-d5 Rf6-f5 Qd5-d3 Rf2-f3)
-0.66/32 12} Rd1 {(Rd3-d1 Qe4-b4 Rd1-d2 Qb4-b8+ Rd5-d8 Qb8-e5 Rd2-d3 Qe5-c7
Rd3-d5 Qc7-c3 Rd8-d7 Qc3-b4 Rd5-d4 Qb4-b5 Rd7-d8 Qb5-a5 Rd8-d5 Qa5-c3
Rd4-d3 Qc3-c4 Rd5-d4 Qc4-c8+ Kg8-g7 Qc8-c5 Rd4-e4 h4-h5 Re4-e3 Kh3-h2
Re3xg3 Qc5-e5+ f7-f6 Qe5-e7+ Kg7-h6 h5xg6 Kh6xg6) +0.85/33 4} 47. Qe8+
{(Qe4-e8+ Kg8-g7 Qe8-e7 Rd1-d2 Qe7-a3 Kg7-g8 Qa3-c3 Rd5-d3 Qc3-b4 Rd3-d8
Qb4-c5 Rd2-d1 Kh3-g4 Rd1-d5 Qc5-c3 Rd5-f5 Qc3-c4 Rd8-d2 Qc4-c8+ Kg8-h7
Qc8-c4 Rf5-d5 Kg4-f3 Rd5-d3+ Kf3-e4 f7-f5+ Ke4-e5 Rd3-e3+ Ke5-f6 Rd2-d6+
Kf6-f7 Rd6-d7+ Kf7-f6 Re3xg3 Qc4-c8 Rg3-d3 h4-h5 g6xh5 Qc8-e8 Rd3-d6+
Kf6-e5 Rd6-d5+ Ke5-f6 Rd7-d6+ Kf6-g5 f5-f4+ Kg5xf4) -0.66/29 7} Kg7
{(Kg8-g7 Qe8-b8 Rd1-d4 Qb8-c8 Rd4-d2 Qc8-c3+ Kg7-g8 Qc3-c8+ Kg8-h7 Qc8-c4
Rd2-d4 Qc4-c7 Rd5-f5 Qc7-c2 Rd4-d5 Qc2-c4 Rd5-c5 Qc4-d4 Rf5-d5 Qd4-b4
Rc5-c2 Qb4-b7 Rd5-f5 g3-g4 Rc2-c3+ Kh3-g2 Rf5-f4 h4-h5 Rf4xg4+ Kg2-h2
Kh7-g7 h5-h6+ Kg7xh6 Qb7xf7 Kh6-g5 Qf7-e7+ Kg5-f5) +0.84/33 13} 48. Qe7
{(Qe8-e7 Rd1-d2 Qe7-a3 Kg7-g8 Qa3-c3 Rd2-d1 Qc3-c4 Rd1-d3 Qc4-b4 Kg8-h7
Kh3-g2 Rd3-d2+ Kg2-h3 Rd2-d4 Qb4-f8 Rd5-f5 Qf8-a3 Rd4-d2 Qa3-e3 Rd2-d6
g3-g4 Rf5-d5 Qe3-c1 Rd5-d2 Kh3-g3 Rd6-d3+ Kg3-f4 Rd2-d1 Qc1-c5 Rd3-d4+
Kf4-f3 Rd1-f1+ Kf3-g2) -0.66/30 4} Rh1+ {(Rd1-h1+ Kh3-g2 Rh1-a1 Qe7-e2
Ra1-d1 Qe2-b2+ Kg7-h7 Qb2-c3 Rd1-d2+ Kg2-h3 Rd2-f2 Qc3-e3 Rf2-f1 Qe3-e4
Rd5-f5 Qe4-d4 Rf1-f3 Kh3-g2 Rf3-b3 Qd4-d7 Rf5-f3 g3-g4 Rb3-d3 Qd7-a4
Rf3-g3+ Kg2-f2 Rd3-f3+ Kf2-e2 Rg3-h3 Qa4-c4 Rf3-e3+ Ke2-f2 Rh3-f3+ Kf2-g2
Re3-c3 Qc4-d5 Rf3-f4) +0.84/29 9} 49. Kg2 {(Kh3-g2 Rh1-d1 Qe7-b4 Rd5-d3
Qb4-e7 Rd3-d2+ Kg2-h3 Rd1-h1+ Kh3-g4 Rd2-d4+ Kg4-f3 Rh1-f1+ Kf3-e2 Rf1-f5
Ke2-e3 Rd4-d1 Qe7-b7 Rd1-d6 g3-g4 Rd6-e6+ Ke3-d3 Rf5-f4 Qb7-b2+ Kg7-h7
Qb2-b7 Re6-f6 Qb7-c8 Rf4-f3+ Kd3-e2 Rf3-f1 h4-h5 g6xh5 Qc8-c5 Rf1-f2+
Ke2-e1 h5-h4 Qc5-h5+ Rf6-h6) -0.66/26 4} Rhd1 {(Rh1-d1 Kg2-h3 Rd5-f5 Qe7-e4
Kg7-g8 Qe4-e3 Kg8-h7 Qe3-c3 Rf5-f2 Qc3-b3 Rd1-d7 Qb3-e3 Rf2-f5 Kh3-g2
Rd7-d1 g3-g4 Rf5-d5 Qe3-b6 Rd5-d3 Kg2-f2 Rd1-d2+ Kf2-e1 Rd3-d6 Qb6-c7
Rd6-d7 Qc7-c6 Rd2-d1+ Ke1-f2 Rd7-d2+ Kf2-f3 Rd2-d3+ Kf3-e2 Rd1-d2+ Ke2-e1
Rd3-d7) +0.84/29 13} 50. Qb4 {(Qe7-b4 Rd5-d3 Qb4-e7 Rd3-d2+ Kg2-h3 Rd2-d5
Qe7-b4 Kg7-g8 Qb4-c4 Rd5-f5 Kh3-g4 Rd1-d5 Qc4-b4 Kg8-h7 Kg4-h3 Rd5-d3
Kh3-g2 Rd3-d1 g3-g4 Rf5-d5 Qb4-b8 Rd5-d2+ Kg2-f3 Rd2-d3+ Kf3-e2 Rd1-d2+
Ke2-e1 Rd3-d7 h4-h5) -0.64/26 4} R1d2+ {(Rd1-d2+ Kg2-h3 Rd2-c2 Qb4-e4
Rc2-c5 Qe4-e3 Kg7-h7 Qe3-a3 Kh7-g8 g3-g4 Rc5-a5 Qa3-e3 Ra5-a2 Kh3-g3 Ra2-c2
Kg3-f3 Rd5-c5 Qe3-e8+ Kg8-g7 Qe8-b8 Rc5-c3+ Kf3-e4 Rc3-c7 Ke4-f3 Rc7-c5
Kf3-e3 Rc5-c4 h4-h5) +0.83/25 7} 51. Kh3 {(Kg2-h3 Kg7-g8 Qb4-c3 Rd5-d3
Qc3-b4 Rd3-d6 Qb4-b8+ Kg8-h7 Qb8-e8 Rd6-f6 Qe8-e3 Rd2-d5 Qe3-c1 Rd5-d3
Kh3-g2 Rf6-f3 g3-g4 Rd3-c3 Qc1-e1 Rf3-d3 Qe1-f2 Kh7-g7 h4-h5 g6xh5 g4xh5
f7-f6 Kg2-h2 Rd3-h3+ Kh2-g2 Rh3xh5 Qf2-d4) -0.61/25 4} Kg8 {(Kg7-g8 Qb4-b8+
Rd5-d8 Qb8-e5 Rd2-f2 Qe5-e4 Rf2-f5 g3-g4 Rf5-d5 Kh3-g3 Rd5-d3+ Kg3-f2
Rd3-d4 Qe4-e5 Rd4xg4 h4-h5 g6xh5 Qe5xh5 Rd8-d4 Qh5-c5 Kg8-g7 Kf2-f3 Rg4-f4+
Kf3-g3 Kg7-g6 Qc5-c6+ Rf4-f6 Qc6-c8 Kg6-h7 Qc8-c3 Rf6-g6+ Kg3-f3 Rg6-g4
Qc3-c2+ Rd4-e4 Qc2-c7 Kh7-g6 Qc7-c6+ Kg6-g7) +0.85/28 8} 52. Qc3 {(Qb4-c3
Rd2-d1 Qc3-c4 Rd5-f5 Qc4-c8+ Kg8-h7 Qc8-c2 Rd1-d4 Kh3-g2 Rd4-d5 Qc2-a2
Rd5-d3 Qa2-c4 Rf5-f3 g3-g4 Rd3-c3 Qc4-d4 Rf3-d3 Qd4-f2 Kh7-g7 h4-h5 g6xh5
g4xh5 f7-f6 Kg2-h2) -0.53/24 5} Rf2 {(Rd2-f2 Qc3-c8+ Kg8-h7 Qc8-c3 Rf2-d2
Qc3-c4 Rd5-f5 Kh3-g4 Rd2-d5 Kg4-h3 Kh7-g8 g3-g4 Rd5-c5 Qc4-a4 Rc5-c3+
Kh3-g2 Rf5-c5 Kg2-f2 Rc3-c4 Qa4-a8+ Rc5-c8 Qa8-b7 Rc4-c2+ Kf2-e3 Rc8-c3+
Ke3-d4 Rc3-c4+ Kd4-d3 Rc2-c3+ Kd3-d2 Rc3-h3 g4-g5 Rh3xh4 Qb7-f3 Rh4-f4)
+0.83/29 5} 53. Qc8+ {(Qc3-c8+ Kg8-h7 Qc8-c3 Rd5-d1 Kh3-g4 Rf2-f5 Qc3-c4
Rd1-d5 Kg4-h3 Kh7-g8 g3-g4 Rd5-c5 Qc4-b4 Rf5-f3+ Kh3-g2 Rf3-c3 Qb4-b8+
Rc5-c8 Qb8-b5 Rc3-c2+ Kg2-f3 Rc2-c5 Qb5-b6 Kg8-h7 Kf3-g3 Rc5-c3+ Kg3-f2)
-0.50/22 3} Kh7 {(Kg8-h7 Qc8-c3 Rf2-d2 Qc3-c4 Rd5-f5 Kh3-g4 Rd2-d5 Kg4-h3
Rd5-d8 g3-g4 Rf5-d5 Kh3-g2 Rd8-d7 Kg2-f3 Rd5-d4 Qc4-c5 Kh7-g7 h4-h5 Rd4-d3+
Kf3-e4 Rd7-d4+ Qc5xd4+ Rd3xd4+ Ke4xd4 g6xh5 g4xh5 Kg7-h6 Kd4-e3) +0.34/24
6} 54. Qc3 {(Qc8-c3 Rf2-f5 Qc3-e3 Rd5-c5 g3-g4 Rf5-d5 Kh3-g3 Kh7-g7 Qe3-e4
Rc5-c3+ Kg3-f2 Rc3-d3 Qe4-a4 Rd3-d4 Qa4-a1 Kg7-h7 Kf2-f3 Rd4-d1 Qa1-a8
Rd5-d8 Qa8-b7 Rd8-d3+ Kf3-e4 Rd3-d4+ Ke4-e3 Rd1-d3+ Ke3-e2 Rd4-d7 Qb7-b8
Rd3-d2+ Ke2-f3 Rd7-d3+ Kf3-e4) -0.55/25 6} Rfd2 {(Rf2-d2 Qc3-c4 Rd2-d4
Qc4-c7 Rd5-d7 Qc7-b8 Rd4-d5 Qb8-e8 Kh7-g7 Qe8-b8 f7-f6 Qb8-b6 Rd5-d1 Qb6-e3
Rd1-a1 Qe3-e8 Rd7-a7 Kh3-g2 Ra1-a5 Qe8-c6 Ra5-a2+ Kg2-f3 Ra2-a3+ Kf3-f2
Ra3-a4 Qc6-e8 Ra4-a2+ Kf2-f3 Ra2-a5) +0.52/25 5} 55. Qb4 {(Qc3-b4 Kh7-g7
Qb4-c3+ Rd2-d4 Kh3-g2 Rd5-d7 Kg2-f3 f7-f6 Kf3-e3 Rd4-a4 Ke3-f3 Rd7-a7
Qc3-c5 Ra4-a2 Kf3-g4 Ra2-a5 Qc5-c3 Ra5-a4+ Kg4-h3 Ra4-a2 Qc3-b4 Ra2-a5
Qb4-c4 Ra5-f5) -0.13/25 3} Kg8 {(Kh7-g8 Qb4-c3 Rd2-d4 Qc3-c7 Rd4-d3 Qc7-f4
Kg8-g7 Qf4-c1 f7-f6 Qc1-c4 Rd3-d4 Qc4-a6 Rd4-d2 Qa6-a4 Rd5-d7 Qa4-g4 Rd2-d5
Qg4-e6 Rd5-d4 Qe6-e2 Rd4-d1 Qe2-g4 Rd7-d5 Qg4-e4 Kg7-f7 Qe4-c4 Rd1-d4
Qc4-c1 Rd4-d3 Qc1-c4 Kf7-g7 Qc4-e4 Rd5-d7) +0.10/30 36} 56. Qc3 {(Qb4-c3
Rd2-d1 Qc3-c4 Rd1-d3 Qc4-b4 Rd3-d2) 0.00/25 3} Rd1 {(Rd2-d1 Qc3-c8+ Kg8-g7
Qc8-c3+ f7-f6 Qc3-b4 Rd5-d7 Qb4-g4 Rd1-d5 Qg4-e6 Rd5-d4 Qe6-e2 Rd7-a7 h4-h5
g6xh5 Qe2xh5 Ra7-e7 Qh5-c5 Rd4-e4 Qc5-f5 Re7-e5 Qf5-c8 Re5-e6 Kh3-g2 Re6-e8
Qc8-f5 Re8-e5 Qf5-c8 Re5-e6 Kg2-h3 f6-f5 Qc8-d8 Re6-e7 Qd8-d6 Re4-e1 g3-g4
f5xg4+ Kh3-g3 Re1-e5) +0.12/28 7} 57. Qb4 {(Qc3-b4) 0.00/29 9} Kg7 {(Kg8-g7
Qb4-c3+ f7-f6 Qc3-b4 Rd5-d7 Qb4-g4 Rd1-d5 Qg4-e6 Rd5-d4 Qe6-e2 Rd7-c7 h4-h5
g6xh5 Qe2xh5 Rc7-e7 Qh5-c5 Rd4-e4 Qc5-c8 Re7-e6 Kh3-g2 Re6-e5 Kg2-f3
Re4-e3+ Kf3-g2 Re3-e2+ Kg2-h3 Re2-e4) +0.02/28 4} 58. Qc3+ {(Qb4-c3+ f7-f6
Qc3-b4 Rd5-d7 Qb4-g4 Rd1-d5 Qg4-e6 Rd5-d3 Qe6-g4 Rd7-d5 Qg4-e4 Kg7-f7
Qe4-c4 Rd3-d2 Qc4-c8 Rd5-d8 Qc8-c5 Rd2-d5 Qc5-b4 Rd5-d4 Qb4-c5) 0.00/27 2}
f6 {(f7-f6 Qc3-b4 Rd5-d7 Qb4-g4 Rd1-d5 Qg4-e6 Rd5-d1) 0.00/26 1} 59. Qb4
{(Qc3-b4 Rd5-d7 Qb4-g4 Rd1-d5 Qg4-e6 Rd5-d6 Qe6-g4 Rd6-d4) 0.00/28 3} Rd7
{(Rd5-d7 Qb4-g4 Rd1-d4 Qg4-e2 Rd7-a7 h4-h5 g6xh5 Qe2xh5 Ra7-e7 Qh5-c5
Rd4-e4 Qc5-f5 Re7-e5 Qf5-c8 Re5-e6 Kh3-g2 Re6-e7 Qc8-f5 Re7-e5 Qf5-c8
Re5-e7) 0.00/28 2} 60. Qg4 {(Qb4-g4 Rd7-d8 Qg4-e6 Rd1-d7 Qe6-g4 Rd7-d5
Qg4-e4 Rd5-e5 Qe4-b7+ Kg7-g8 Qb7-b3+ Re5-d5 Qb3-b7 Rd8-d7 Qb7-a6 Kg8-f7
Qa6-c6 Rd7-d6 Qc6-c7+ Rd6-d7) 0.00/32 9} R7d2 {(Rd7-d2 Qg4-e6 Rd2-d7 Qe6-g4
Rd1-d5 Qg4-e6 Rd5-d2 Qe6-g4) 0.00/30 3} 61. Qe4 {(Qg4-e4 Rd2-d7 Qe4-g4
Rd7-d8 Qg4-e6 Rd1-d7 Qe6-g4 Rd7-d5 Qg4-e4 Rd5-e5 Qe4-b7+ Kg7-g8 Qb7-b3+
Re5-d5 Qb3-b7) 0.00/33 3} Rd7 {(Rd2-d7 Qe4-g4 Rd1-d5 Qg4-e6 Rd5-d2 Qe6-g4
Rd7-d5 Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d1 Qf4-e4 Rd1-d3 Qe4-e2 Rd3-d2 Qe2-e4
Rd2-d3) 0.00/29 1} 62. Qg4 {(Qe4-g4 Rd7-d8 Qg4-e6 Rd1-d7 Qe6-g4 Rd7-d5
Qg4-e4 Rd5-e5 Qe4-b7+ Kg7-g8 Qb7-b3+ Re5-d5 Qb3-b7 Rd8-d7 Qb7-a6 Kg8-f7
Qa6-c6 Kf7-g7 Qc6-e6 Rd5-d2 Qe6-g4 Rd7-d5 Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d4
Qf4-e3 Rd4-d3 Qe3-e4) 0.00/33 2} R1d5 {(Rd1-d5 Qg4-e6 Rd5-d2 Qe6-g4 Rd7-d5
Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d1 Qf4-e4) 0.00/28 3} 63. Qe6 {(Qg4-e6 Rd5-d2
Qe6-g4 Rd7-d5 Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d4 Qf4-e3 Rd4-d3 Qe3-e4 Rd3-d1
Qe4-e3) 0.00/33 4} Rd2 {(Rd5-d2 Qe6-g4 Rd7-d5 Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d1
Qf4-e4) 0.00/30 1} 64. Qg4 {(Qe6-g4 Rd7-d5 Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d4
Qf4-e3 Rd4-d1 Qe3-e4) 0.00/34 3} R7d4 {(Rd7-d4 Qg4-e6 Rd4-d7 Qe6-g4 Rd7-d5
Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d1 Qf4-e4 Rd1-d3 Qe4-e2 Rd3-d2 Qe2-e4 Rd2-d3)
0.00/32 5} 65. Qe6 {(Qg4-e6 Rd4-d7 Qe6-g4 Rd7-d5 Qg4-e4 Kg7-f7 Qe4-c4
Rd2-d4 Qc4-b3 Kf7-g7 Qb3-e3 Rd5-d7 Qe3-e2 Rd4-d5 Qe2-e6 Rd5-d3 Qe6-g4
Rd7-d5 Qg4-e4 Kg7-f7 Qe4-c4 Rd3-d4) 0.00/35 3} Rd7 {(Rd4-d7 Qe6-g4 Rd7-d5
Qg4-e4 Kg7-f7 Qe4-f4 Rd2-d1 Qf4-e3 Rd1-d4 Qe3-b3 Rd4-d3 Qb3-c4 Kf7-g7
Qc4-e4 Rd5-d7 Qe4-g4 Rd3-d5) 0.00/29 1} 66. Qg4 {(Qe6-g4 Rd7-d5 Qg4-e4
Kg7-f7 Qe4-c4 Rd2-d4 Qc4-c8 Rd5-d8 Qc8-c5 Rd4-d5 Qc5-c4 Kf7-g7 Qc4-e4
Rd8-d7 Qe4-e6 Rd5-d4 Qe6-e2 Rd4-d2) 0.00/35 3} R7d5 {(Rd7-d5 Qg4-e4 Kg7-f7
Qe4-f4 Rd2-d1 Qf4-e3 Rd1-d4 Qe3-b3 Rd4-d3 Qb3-c4 Kf7-g7 Qc4-e4 Rd5-d7
Qe4-g4 Rd3-d5) 0.00/33 4} 67. Qe4 {(Qg4-e4 Kg7-f7 Qe4-c4 Rd2-d4 Qc4-b3
Kf7-g7 Qb3-c2 Rd5-d7 Qc2-e2 Rd4-d5 Qe2-e6 Rd5-d3 Qe6-g4 Rd7-d5 Qg4-e2
Kg7-f7 Qe2-e4) 0.00/35 3} Kf7 {(Kg7-f7 Qe4-e3 Rd2-d4 Qe3-b3 Rd4-d3 Qb3-c4
Kf7-g7 Qc4-e4 Rd5-d7 Qe4-g4 Rd3-d5) 0.00/30 1} 68. Qc4 {(Qe4-c4 Rd2-d4
Qc4-b3 Kf7-g7 Qb3-c2 Rd5-d7 Qc2-e2 Rd4-d5 Qe2-e6) 0.00/35 3} Rd3 {(Rd2-d3
Qc4-f4 Rd3-d1 Qf4-e3 Rd1-d4 Qe3-b3 Rd4-d3 Qb3-c4 Kf7-g7 Qc4-e4 Kg7-f7)
0.00/30 1} 69. h5 {(h4-h5 g6xh5 Qc4-e4 Rd3-d2 Qe4-h7+ Kf7-e6 Qh7-g8+ Ke6-e7
Qg8-g7+ Ke7-e6) 0.00/29 5} gxh5 {(g6xh5 Qc4-e4 f6-f5 Qe4-f4 Kf7-e6 Qf4-h6+
Ke6-e7 Kh3-g2 Rd3-b3 Kg2-h3 Ke7-d7 Kh3-g2 Rb3-b2+ Kg2-h3 Rb2-b1 Kh3-g2
Rb1-b3 Kg2-h3 Rb3-f3 Kh3-g2 Rf3-d3) 0.00/22 1} 70. Qe4 {(Qc4-e4 f6-f5
Qe4-c4 Kf7-e6 Qc4-c7 Rd3-f3 Qc7-c6+ Ke6-e5 Qc6-c7+) 0.00/24 2} f5 {(f6-f5
Qe4-f4 Kf7-e6 Qf4-h6+ Ke6-e7 Qh6-g6 Ke7-d7 Qg6-h6 Kd7-c7 Kh3-g2 Rd3-d2+
Kg2-h3 Rd2-d4 Kh3-g2 Rd4-g4 Kg2-f2 Rg4-c4 Qh6xh5 Kc7-d6 Qh5-f7 Rc4-d4
Kf2-f3 Rd4-d3+ Kf3-f2 Kd6-c5 Qf7-c7+ Kc5-b4) 0.00/23 1} 71. Qc4 {(Qe4-c4
Kf7-e6 Qc4-c7 Rd3-f3 Qc7-c6+ Ke6-e5 Qc6-c7+) 0.00/26 2} Rd4 {(Rd3-d4 Qc4-c6
Kf7-e7 Qc6-h6 Rd4-d3 Qh6-g6 Ke7-d7 Qg6-h6) 0.00/22 2} 72. Qc7+ {(Qc4-c7+
Rd5-d7 Qc7-c8 Kf7-g7 Qc8-e8 Kg7-f6 Qe8xh5 Rd7-d5 Qh5-h8+ Kf6-e6 Qh8-h6+
Ke6-e5 Qh6-e3+ Ke5-d6 Qe3-g5 Rd4-d3 Qg5-f4+ Kd6-c5 Kh3-g2 Rd3-d2+ Kg2-f1
Rd2-d1+ Kf1-e2 Rd5-d2+ Qf4xd2 Rd1xd2+ Ke2xd2 f5-f4 g3xf4) 0.00/24 3} Ke6
{(Kf7-e6 Qc7-c6+ Ke6-e7 Qc6-h6 Rd4-d3 Qh6-g6 Ke7-d7 Qg6-h6 Kd7-c7 Kh3-g2
Rd5-c5 Qh6-f6 Rd3-d2+ Kg2-h3 Rd2-d7 Qf6-g6 Rd7-d3 Qg6-h6 Rd3-f3 Kh3-g2
Rc5-c3 Qh6xh5 Rf3xg3+ Kg2-f2 Kc7-d6 Qh5xf5 Rg3-f3+ Qf5xf3 Rc3xf3+ Kf2xf3)
0.00/25 2} 73. Qc8+ {(Qc7-c8+ Ke6-e7 Qc8-c6 h5-h4 g3xh4 Rd5-d6 Qc6-c8
Rd4-d3+ Kh3-g2 Rd6-d5 Kg2-h2 Ke7-f6 Qc8-h8+ Kf6-f7 Kh2-g1 Rd5-d8 Qh8-h6
Kf7-e7 Kg1-f2 Rd3-d4 Qh6-g6 Rd4-g4 Qg6-c6 Rg4-f4+ Kf2-g3 Rf4-g4+ Kg3-f3
Rg4-d4 Qc6-g6 Rd4-d3+ Kf3-f4 Rd3-d4+) 0.00/25 3} Kd6 {(Ke6-d6 Qc8-f8+
Kd6-c6 Qf8-h6+ Kc6-c5 Qh6xh5 Kc5-c4 Qh5-e2+ Kc4-b3 Qe2-f3+ Rd4-d3 Qf3-f1
Kb3-b2 Qf1-e2+ Kb2-c3 Qe2-e1+ Kc3-c2 Qe1-e2+ Kc2-b3) 0.00/25 1} 74. Qf8+
{(Qc8-f8+ Kd6-c6 Qf8-e8+ Kc6-c5 Qe8xh5 Rd4-d3 Qh5-h4 Kc5-d6 Qh4-h6+ Kd6-e5
Qh6-f4+ Ke5-e6 Qf4-c4 Ke6-e7 Qc4-c7+ Ke7-f6 Qc7-c8 Rd5-d8 Qc8-c6+ Kf6-g5
Qc6-e6 Rd8-d7 Qe6-g8+ Kg5-f6 Qg8-h8+ Kf6-g6 Qh8-g8+ Kg6-f6) 0.00/26 2} Kc6
{(Kd6-c6 Qf8-e8+ Kc6-c5 Qe8xh5 Kc5-b4 Qh5-f3 Rd4-d3 Qf3-e2 Kb4-b3 Qe2-e1
Rd3-d1 Qe1-e3+ Kb3-b4 Qe3-b6+ Kb4-c4 Qb6-e3 Rd1-h1+ Kh3-g2 Rh1-d1 Qe3-f3
Kc4-b4 Kg2-h3 Kb4-a4 Qf3-c3 Ka4-b5 Qc3-b2+ Kb5-c5 Qb2-e2 Rd1-d2 Qe2-f3
Kc5-c4 Qf3-f1+ Kc4-c3) 0.00/27 2} 75. Qe8+ {(Qf8-e8+ Kc6-c5 Qe8xh5 Rd4-d3
Qh5-h4 Kc5-d6 Qh4-h6+ Kd6-e5 Qh6-f4+ Ke5-e6 Qf4-c4 Ke6-e7 Qc4-c7+ Ke7-f6
Qc7-c8 Rd5-d8 Qc8-c6+ Kf6-g5 Qc6-e6 Rd8-d7 Qe6-g8+ Kg5-f6 Qg8-f8+ Kf6-g5
Qf8-b8 Rd3-d1 Qb8-g8+ Kg5-f6 Qg8-f8+ Kf6-e6 Qf8-g8+) 0.00/27 2} Kc5
{(Kc6-c5 Qe8xh5 Kc5-b4 Qh5-f3 Rd4-d3 Qf3-e2 Kb4-b3 Qe2-e1 Rd3-d1 Qe1-e3+
Kb3-c4 Qe3-b6 Kc4-d3 Qb6-f2 Rd1-d2 Qf2-f1+ Kd3-c3 Qf1-c1+ Kc3-b4 Qc1-a1
Rd2-d3 Qa1-b2+ Rd3-b3 Qb2-f2 Rd5-d3 Qf2-f4+ Kb4-a3 Qf4-e5 Rd3xg3+ Qe5xg3
Rb3xg3+ Kh3xg3) 0.00/27 1} 76. Qxh5 {(Qe8xh5 Rd4-d3 Qh5-h4 Kc5-d6 Qh4-h6+
Kd6-e5 Qh6-f4+ Ke5-e6 Qf4-c4 Ke6-e7 Qc4-c7+ Ke7-f6 Qc7-c8 Rd5-d8 Qc8-a6+
Rd3-d6 Qa6-a1+ Kf6-e6 Qa1-g7 Rd6-d3 Qg7-g6+ Ke6-e5 Qg6-g5 Ke5-e6 Qg5-g7
Rd8-d4 Qg7-h6+ Ke6-e7 Qh6-g5+ Ke7-e6) 0.00/28 2} Rd3 {(Rd4-d3 Qh5-g5 Kc5-c4
Qg5-c1+ Kc4-b4 Qc1-f1 Rd3-d1 Qf1-f2 Kb4-b3 Qf2-e3+ Kb3-c4 Qe3-b6 Kc4-d3
Qb6-f2 Rd1-d2 Qf2-f1+ Kd3-c3 Qf1-c1+ Kc3-b4 Qc1-a1 Rd2-d1 Qa1-b2+ Kb4-a5
Qb2-c3+ Ka5-b6 Qc3-b4+ Kb6-c6 Qb4-c4+ Kc6-d6 Qc4-b4+) 0.00/27 1} 77. Qh4
{(Qh5-h4 Kc5-d6 Qh4-h6+ Kd6-e5 Qh6-f4+ Ke5-e6 Qf4-c4 Ke6-e7 Qc4-c7+ Ke7-f6
Qc7-c8 Rd5-d8 Qc8-a6+ Rd3-d6 Qa6-a1+ Rd6-d4 Qa1-c3 Kf6-g6 Qc3-e3 Rd8-d7
Qe3-e6+ Kg6-g5 Qe6-g8+ Kg5-f6 Qg8-f8+ Kf6-g6 Qf8-g8+ Kg6-h6 Qg8-c8 Kh6-g5)
0.00/29 2} Rd1 {(Rd3-d1 Qh4-a4 Rd1-d4 Qa4-a3+ Kc5-c4 Qa3-c1+ Kc4-b4 Qc1-e1+
Kb4-c5 Qe1-f2 Kc5-d6 Qf2-b2 Kd6-e6 Qb2-c2 Ke6-e5 Qc2-e2+ Rd4-e4 Qe2-h5
Ke5-d4 Qh5-d1+ Kd4-e5 Qd1-c1 Rd5-d3 Qc1-c5+ Ke5-e6 Qc5-c8+ Ke6-e5) 0.00/24
1} 78. Qf4 {(Qh4-f4 Kc5-c6 Qf4-g5 Rd1-d2 Qg5-f6+ Kc6-b5 Qf6-e7 Kb5-c4
Qe7-c7+ Kc4-d3 Qc7-f4 Kd3-e2 Kh3-g2 Ke2-d1+ Kg2-f1 Rd2-d3 Qf4-a4+ Kd1-d2
Qa4-b4+ Kd2-c2 Qb4-c4+ Kc2-b1 Kf1-f2 Rd3-d2+ Kf2-e3 Kb1-b2 Qc4-c6 Kb2-b3
Qc6-b6+ Kb3-c4 Qb6-c6+) 0.00/29 2} R1d4 {(Rd1-d4 Qf4-c7+ Kc5-b4 Qc7-c1
Kb4-b5 Qc1-b1+ Kb5-c6 Qb1-b2 Rd4-d3 Qb2-c1+ Kc6-d6 Qc1-c8 Rd3-d2 Qc8-b8+
Kd6-c6 Kh3-h4 Rd2-d4+ Kh4-g5 f5-f4+ Kg5-g4 f4xg3+ Kg4xg3 Rd4-d2 Qb8-e8+
Kc6-c5 Qe8-f8+ Kc5-b5 Qf8-f1+ Rd2-d3+ Kg3-g2 Kb5-b4 Qf1-b1+ Kb4-a4 Qb1-c2+
Ka4-b4) 0.00/28 1} 79. Qc7+ {(Qf4-c7+ Kc5-b4 Qc7-b6+ Kb4-c3 Kh3-g2 Rd4-d2+
Kg2-f3 Kc3-c4 Qb6-c6+ Kc4-b3 Qc6-b7+ Kb3-c2 Kf3-e3 Rd2-d3+ Ke3-f2 Kc2-c3
Qb7-c7+ Kc3-b3 Qc7-c6 Rd3-d2+ Kf2-e1 Rd2-d1+ Ke1-e2 Rd5-d2+ Ke2-f3 Rd2-d3+
Kf3-f4 Rd3-d5 Kf4-g5 Rd1-d4 Qc6-e6 Kb3-b4) 0.00/29 2} Kb4 {(Kc5-b4 Qc7-c1
Kb4-b5 Qc1-b1+ Kb5-c6 Qb1-b2 Rd4-d3 Qb2-c1+ Kc6-d6 Qc1-c8 Rd3-d2 Qc8-b8+
Kd6-c6 Kh3-h4 Rd2-d4+ Kh4-g5 f5-f4+ Kg5-g4 f4xg3+ Kg4xg3 Rd4-d2 Qb8-e8+
Kc6-c5 Qe8-f8+ Kc5-b5 Qf8-f1+ Rd2-d3+ Kg3-g2 Kb5-b4 Qf1-b1+ Kb4-a4 Qb1-c2+
Ka4-b4) 0.00/29 1} 80. Qf7 {(Qc7-f7 Kb4-c3 Qf7-f6 Kc3-d2 Kh3-g2 Kd2-c2
Qf6-c6+ Kc2-d1 Qc6-e6 Rd4-d3 Kg2-f2 Rd3-d2+ Kf2-f1 Kd1-c2 Qe6-c6+ Kc2-b1
Qc6-b7+ Kb1-c2 Qb7-c7+ Kc2-d3 Qc7-c6 Kd3-e3 Qc6-h6+ Ke3-e4 Qh6-h4+ Ke4-d3
Qh4-f4 Kd3-c3 Qf4-c7+ Kc3-b3 Qc7-c6 Rd2-d1+ Kf1-g2 Rd1-d2+) 0.00/29 2} Kc3
{(Kb4-c3 Qf7-c7+ Kc3-d2 Kh3-g2 Kd2-e2 Qc7-c3 Rd4-d2 Qc3-f3+ Ke2-e1+ Kg2-g1
Rd2-d3 Qf3-f1+ Ke1-d2 Qf1-f4+ Kd2-c2 Qf4-c4+ Kc2-b2 Kg1-f2 Rd3-d4 Qc4-c6
Kb2-b3 Qc6-b6+ Kb3-a3 Qb6-c7 Rd4-d2+ Kf2-e3 Ka3-b3 Ke3-f4 Rd2-d4+ Kf4-e3)
0.00/26 1} 81. Qf6 {(Qf7-f6 Kc3-d2 Kh3-g2 Kd2-c2 Qf6-c6+ Kc2-d1 Qc6-e6
Rd4-d3 Kg2-f2 Rd3-d2+ Kf2-f1 Kd1-c2 Qe6-c6+ Kc2-b1 Qc6-b7+ Kb1-c1 Qb7-c7+
Kc1-d1 Qc7-f4 Rd2-d3 Qf4-a4+ Kd1-d2 Qa4-b4+ Kd2-c2 Qb4-c4+ Kc2-d2 Kf1-g2
Kd2-d1 Kg2-f2 Kd1-d2) 0.00/30 2} Kd3 {(Kc3-d3 Kh3-g2 Kd3-d2 Kg2-f2 Kd2-c2
Qf6-c6+ Kc2-b3 Qc6-b6+ Kb3-a3 Qb6-c7 Rd4-d2+ Kf2-f3 Rd2-d3+ Kf3-f4 Rd3-d4+
Kf4-g5 f5-f4+ Kg5-g4 f4xg3+ Kg4xg3 Rd4-d3+ Kg3-f2 Ka3-b4 Kf2-e2 Rd3-d2+
Ke2-e1 Rd5-d3 Qc7-b6+ Kb4-a4 Ke1-f1 Rd2-d1+ Kf1-f2 Rd1-d2+) 0.00/26 1} 82.
Kg2 {(Kh3-g2 Kd3-c4 Qf6-c6+ Kc4-b3 Kg2-f3 Rd4-d2 Qc6-b7+ Kb3-c2 Qb7-c7+
Kc2-d1 Qc7-b6 Rd5-d3+ Kf3-f4 Kd1-e2 Kf4xf5 Ke2-f3 Qb6-b4 Kf3xg3 Qb4-g4+
Kg3-f2 Qg4-h4+ Kf2-e2 Kf5-f6 Rd3-d6+ Kf6-e7 Rd2-d3 Qh4-g4+ Ke2-f2 Qg4-f5+
Kf2-g3 Qf5-g5+ Kg3-f2) 0.00/29 3} Ke2 {(Kd3-e2 Qf6-a6+ Ke2-e1 Qa6-f1+
Ke1-d2 Qf1-a1 Kd2-e3 Qa1-g1+ Ke3-d3 Kg2-f2 Kd3-c2 Qg1-f1 Rd4-d2+ Kf2-f3
Rd2-d3+ Kf3-f4 Kc2-b3 Qf1-f2 Rd3-d2 Qf2-b6+ Kb3-c2 Kf4-f3 Rd2-d3+ Kf3-f2
Kc2-c3 Qb6-c7+ Kc3-b4 Qc7-b6+) 0.00/27 1} 83. Qe6+ {(Qf6-e6+ Ke2-d1 Kg2-f3
Rd4-d2 Qe6-b6 Rd5-d3+ Kf3-f4 Kd1-e2 Kf4xf5 Ke2-f3 Qb6-b4 Rd3-d5+ Kf5-g6
Rd5-d6+ Kg6-g7 Rd6-d7+ Kg7-f6 Kf3xg3 Qb4-e4 Rd2-d6+ Kf6-g5 Rd6-d5+ Kg5-h6
Rd5-d4 Qe4-e1+ Kg3-f3 Qe1-h1+ Kf3-g3 Qh1-g1+ Kg3-f3) 0.00/27 2} Kd1
{(Ke2-d1 Qe6-c6 Kd1-e2 Qc6-c7 Rd4-d2 Qc7-f4 Ke2-d1+ Kg2-h3 Rd2-d3 Qf4-f1+
Kd1-d2 Qf1-f2+ Kd2-c3 Qf2-e1+ Kc3-b3 Qe1-b1+ Kb3-a4 Qb1-a1+ Ka4-b5 Qa1-c1
Rd5-d4 Kh3-g2 Rd3-d2+ Kg2-f3 Rd2-d3+ Kf3-e2 Rd4-d6 Qc1-c7 Rd3-d5 Ke2-f2)
0.00/28 2} 84. Qf6 {(Qe6-f6 Rd4-d2+ Kg2-f1 Rd2-d3 Qf6-a1+ Kd1-c2 Qa1-a4+
Kc2-d2 Qa4-b4+ Kd2-c1 Qb4-c4+ Kc1-b2 Kf1-f2 Rd3-d4 Qc4-c7 Rd4-d2+ Kf2-f3
Rd2-d3+ Kf3-g2 Kb2-b3 Qc7-c6 Rd3-d4 Kg2-f3 Rd4-d2 Qc6-b7+ Kb3-c2 Qb7-c7+
Kc2-d1 Qc7-b6 Rd5-d3+ Kf3-f4 Kd1-e2) 0.00/29 2} Rd2+ {(Rd4-d2+ Kg2-f1
Kd1-c2 Qf6-a6 Rd2-d3 Qa6-c6+ Kc2-b2 Kf1-f2 Rd3-d2+ Kf2-e3 Kb2-b3 Ke3-f4
Rd2-d1 Qc6-a6 Rd1-d3 Qa6-b6+ Kb3-c2 Qb6-f2+ Rd3-d2 Qf2-f1 Rd2-d4+ Kf4-e3
Kc2-b3 Qf1-b1+ Kb3-c3 Qb1-a1+ Kc3-c4 Qa1-c1+ Kc4-b3) 0.00/25 1} 85. Kf1
{(Kg2-f1 Rd2-d3 Qf6-a1+ Kd1-c2 Qa1-a4+ Kc2-d2 Qa4-b4+ Kd2-c1 Qb4-c4+ Kc1-b2
Kf1-f2 Rd3-d4 Qc4-c7 Rd4-d2+ Kf2-f3 Rd2-d3+ Kf3-g2 Kb2-b3 Qc7-c6 Rd3-d4
Kg2-f3 Kb3-b2 Kf3-e3 Rd4-d3+ Ke3-f2 Rd3-d2+ Kf2-e1 Rd2-d1+ Ke1-e2 Rd1-d2+)
0.00/30 2} Kc2 {(Kd1-c2 Qf6-a6 Rd2-d3 Qa6-c6+ Kc2-b2 Kf1-f2 Rd3-d2+ Kf2-e3
Kb2-b3 Ke3-f4 Rd2-d1 Qc6-b7+ Kb3-c3 Kf4-e3 Rd1-d3+ Ke3-e2 Rd3-d2+ Ke2-f1
Kc3-c4 Qb7-a6+ Kc4-d4 Qa6-c6 Kd4-e3 Qc6-h6+ Ke3-e4 Qh6-f4+ Ke4-d3 g3-g4
f5xg4 Qf4xg4) 0.00/26 1} 86. Qa6 {(Qf6-a6 Rd2-d1+ Kf1-f2 Rd5-d2+ Kf2-f3
Rd2-d3+ Kf3-g2 Rd1-d2+ Kg2-h3 Kc2-d1 Qa6-a1+ Kd1-e2 Qa1-e5+ Rd3-e3 Qe5xf5
Rd2-d3 Qf5-b5 Re3-f3 Kh3-g4 Rf3xg3+ Kg4-f5 Rg3-f3+ Kf5-g6 Rf3-e3 Kg6-h5
Re3-h3+ Kh5-g6) 0.00/27 1} Rd1+ {(Rd2-d1+ Kf1-f2 Rd5-d2+ Kf2-f3 Rd2-d3+
Kf3-g2 Rd1-d2+ Kg2-h3 Kc2-d1 Qa6-a1+ Kd1-e2 Qa1-e5+ Rd3-e3 Qe5xf5 Rd2-d3
Qf5-b5 Re3xg3+ Kh3-h4 Rg3-f3 Kh4-g4 Ke2-f2 Qb5-b2+ Kf2-f1 Qb2-a1+ Kf1-f2
Qa1-a2+ Kf2-e1 Qa2-b1+ Ke1-e2) 0.00/25 1} 87. Ke2 {(Kf1-e2 Rd5-d2+ Ke2-f3
Rd2-d3+ Kf3-g2 Rd1-d2+ Kg2-h3 Kc2-d1 Qa6-a1+ Kd1-e2 Qa1-e5+ Rd3-e3 Qe5xf5
Rd2-d3 Qf5-b5 Re3-f3 Kh3-g4 Rf3xg3+ Kg4-f5 Rg3-f3+ Kf5-g6 Rf3-e3 Kg6-h5
Re3-h3+ Kh5-g5 Rh3-f3 Qb5-b2+ Ke2-f1 Kg5-g4 Kf1-e1 Qb2-b1+ Ke1-d2 Qb1-b2+)
0.00/30 4} Kb2 {(Kc2-b2 Qa6-c6 Rd1-d3 Ke2-f2 Rd3-d2+ Kf2-e3 Kb2-b3 Ke3-f4
Rd2-d1 Qc6-b7+ Kb3-c3 Kf4-e3 Rd1-d3+ Ke3-e2 Rd3-d2+ Ke2-f1 Kc3-c4 Qb7-a6+
Kc4-d4 Qa6-c6 Kd4-e3 Qc6-h6+ Ke3-d3 Qh6-a6+) 0.00/25 0} 88. Qb6+ {(Qa6-b6+
Kb2-c3 Qb6-c6+ Kc3-b2 Qc6-c4 Rd1-d4 Qc4-a6 Kb2-b3 Qa6-b7+ Kb3-c3 Qb7-c6+
Kc3-b4 Qc6-b7+ Kb4-c5 Qb7-c7+ Kc5-b4 Ke2-e3 Rd4-d3+ Ke3-f4 Rd3-d2 Kf4-g5
Rd2-d4 Kg5-g6 Kb4-b3 Qc7-c8 Rd4-d1 Kg6-f6 Rd1-d3 Qc8-b7+ Kb3-c2 Qb7-c6+
Kc2-d1 Qc6-c4 Kd1-d2 Qc4-a2+ Kd2-e3) 0.00/26 1} Kc2 {(Kb2-c2 Qb6-a6 Kc2-b2
Qa6-c6 Rd1-d3 Ke2-f2 Rd3-d2+ Kf2-e3 Kb2-b3 Qc6-b6+ Kb3-a3 Ke3-f3 Ka3-a4
Kf3-f4 Rd2-d4+ Kf4-e3 Rd4-d3+ Ke3-e2 Rd3-d2+ Ke2-f1 Rd2-d1+ Kf1-g2 Ka4-a3
Qb6-e3+ Ka3-b2 Qe3-b6+) 0.00/28 1} 89. Qc7+ {(Qb6-c7+ Kc2-b2 Qc7-b6+ Kb2-c3
Qb6-c6+ Kc3-b4 Ke2-f3 Rd1-d3+ Kf3-f2 Kb4-b3 Qc6-b7+ Kb3-c2 Qb7-c8+ Kc2-d1
Qc8-b8 Rd5-c5 Qb8-b1+ Kd1-d2 Qb1-e1+ Kd2-c2 Qe1-e6 Rd3-d2+ Kf2-f1 Rd2-d1+
Kf1-g2 Rc5-d5 Qe6-c6+ Kc2-b1 Kg2-h3 Rd1-d3 Qc6-c4 Rd3-d2 Qc4-b3+ Kb1-c1
Qb3-b6 Kc1-c2) 0.00/29 1} Kb3 {(Kc2-b3 Qc7-b6+ Kb3-c3 Qb6-c6+ Kc3-b2 Ke2-f3
Rd1-d2 Kf3-f4 Rd2-d3 Qc6-c7 Rd3-d4+ Kf4-e3 Kb2-b3 Qc7-b7+ Kb3-c3 Qb7-c6+
Kc3-b4 Ke3-f2 Rd4-d2+ Kf2-f3 Kb4-b3 Kf3-f4 Rd2-d3 Qc6-b6+ Kb3-a3 Qb6-a6+
Ka3-b3) 0.00/28 0} 90. Qb7+ {(Qc7-b7+ Kb3-c3 Qb7-c6+ Kc3-b4 Ke2-f3 Rd1-d3+
Kf3-f2 Kb4-b3 Qc6-b7+ Kb3-c2 Qb7-c8+ Kc2-d1 Qc8-b8 Rd5-c5 Qb8-b1+ Kd1-d2
Qb1-e1+ Kd2-c2 Qe1-e6 Rd3-d2+ Kf2-f1 Rd2-d1+ Kf1-g2 Rc5-d5 Qe6-c6+ Kc2-b1
Kg2-h3 Rd1-d3 Qc6-c4 Rd3-d2 Qc4-b3+ Kb1-c1 Qb3-b6) 0.00/29 2} Ka4 {(Kb3-a4
Qb7-a6+ Ka4-b3 Qa6-b6+ Kb3-c3 Qb6-c6+ Kc3-b2 Ke2-f3 Rd1-d2 Kf3-f4 Rd2-d3
Qc6-c7 Rd3-d4+ Kf4-e3 Kb2-b3 Qc7-b7+ Kb3-c3 Qb7-c6+ Kc3-b4 Ke3-f2 Rd4-d2+
Kf2-f3 Kb4-b3 Kf3-e3 Rd2-d3+ Ke3-f2 Rd3-d4 Qc6-b6+ Kb3-c2 Qb6-a6 Kc2-d1
Qa6-c6 Rd4-d2+ Kf2-f1) 0.00/29 3} 91. Qb6 {(Qb7-b6 Rd5-d2+ Ke2-f3 Rd2-d3+
Kf3-f4 Rd1-f1+ Kf4-e5 Rf1-f3 Qb6-c6+ Ka4-b3 Ke5-f6 Rd3-e3 Kf6-g5 Rf3xg3+
Kg5xf5 Kb3-b2 Qc6-b5+ Kb2-c2 Qb5-d5 Rg3-f3+ Kf5-g4 Re3-d3 Qd5-c4+ Kc2-d2
Qc4-a2+ Kd2-e1 Qa2-b1+ Ke1-d2 Qb1-b2+ Kd2-e3 Qb2-e5+ Ke3-d2) 0.00/28 1}
R5d3 {(Rd5-d3 Ke2-f2 Rd1-d2+ Kf2-e1 Rd3-d5 Qb6-c6+ Ka4-b4 Ke1-f1 Kb4-b3
Qc6-b6+ Kb3-c3 Qb6-f6+ Kc3-d3 Qf6-a6+ Kd3-e4 Qa6-c4+ Ke4-e5 Qc4-c8 Ke5-d4
Qc8-c6 Rd2-d1+ Kf1-e2 Kd4-e5 Ke2-f3 Rd1-d3+ Kf3-f2 Rd3-d2+ Kf2-f1) 0.00/24
0} 92. Qc6+ {(Qb6-c6+ Ka4-b4 Qc6-b6+ Kb4-a4 Ke2-f2 Rd1-d2+ Kf2-f1 Rd3-f3+
Kf1-e1 Rd2-d3 Ke1-e2 Rf3xg3 Qb6-c5 Ka4-b3 Qc5xf5 Rg3-e3+ Ke2-f2 Rd3-c3
Qf5-d5+ Kb3-b2 Qd5-d2+ Rc3-c2 Kf2xe3 Rc2xd2 Ke3xd2 Kb2-b3 Kd2-d3 Kb3-b2
Kd3-e3 Kb2-c3 Ke3-e4 Kc3-c4 Ke4-f5 Kc4-d5 Kf5-g4) 0.00/28 4} Kb4 {(Ka4-b4
Qc6-b7+ Kb4-a3 Qb7-a7+ Ka3-b3 Qa7-b8+ Kb3-c4 Qb8-c8+ Kc4-d4 Qc8-d7+ Kd4-c4
Qd7-c8+) 0.00/27 1} 93. Qb6+ {(Qc6-b6+ Kb4-a4 Qb6-c6+ Ka4-b4 Qc6-b7+ Kb4-c5
Qb7-e7+ Kc5-c4 Qe7-f7+ Rd3-d5 Ke2-f3 Rd1-d3+ Kf3-f2 Kc4-c3 Qf7-g7+ Kc3-c2
Qg7-c7+ Kc2-d1 Qc7-b6 Rd3-d2+ Kf2-f1 Kd1-c1 Qb6-c6+ Kc1-b2 Kf1-e1 Rd2-d4
Ke1-f2 Kb2-a3 Kf2-f3 Ka3-b3 Qc6-c7 Rd4-d1 Kf3-f4 Rd1-d4+) 0.00/28 1} Kc4
{(Kb4-c4 Qb6-c7+ Kc4-d4 Qc7-d8+ Kd4-c4 Qd8-c8+ Kc4-d4 Qc8-a6 Kd4-e5 Qa6-c6
Rd3-d6 Qc6-e8+ Ke5-f6 Qe8-h8+ Kf6-g5 Qh8-g8+ Kg5-h6 Qg8-f8+ Kh6-g6 Qf8-e8+
Kg6-g7 Qe8-h5 Rd1-d2+ Ke2-f1 Rd2-d1+ Kf1-g2 Rd6-d2+ Kg2-f3 Rd2-d3+ Kf3-g2
Rd1-d2+ Kg2-h3 Rd3-d5 Qh5-g5+ Kg7-f7 Qg5-h5+) 0.00/26 1} 94. Qa6+ {(Qb6-a6+
Kc4-d5 Qa6-b5+ Kd5-d4 Qb5-d7+ Kd4-c4 Qd7-c7+ Kc4-b4 Qc7-b6+ Kb4-a4 Qb6-a7+
Ka4-b5 Qa7-b7+ Kb5-c5 Qb7-e7+ Kc5-c4 Qe7-f7+ Rd3-d5 Ke2-f3 Rd1-d3+ Kf3-f2
Kc4-c3 Qf7-g7+ Kc3-c2 Qg7-c7+ Kc2-d1 Qc7-b6 Rd3-d2+ Kf2-f1 Kd1-c1 Qb6-c6+
Kc1-b2 Kf1-e1 Rd2-d4 Ke1-f2) 0.00/29 1} Kb4 {(Kc4-b4 Qa6-b7+ Kb4-c5 Qb7-c7+
Kc5-b5 Qc7-b7+) 0.00/27 1} 95. Qxd3 {(Qa6xd3 Rd1xd3 Ke2xd3 Kb4-c5 Kd3-e3
Kc5-d6 Ke3-f4 Kd6-e6 Kf4-g5 Ke6-e5 Kg5-h5 f5-f4 g3xf4+ Ke5xf4 Kh5-g6 Kf4-g3
Kg6-f5 Kg3-h3 Kf5-g5 Kh3-g2 Kg5-g4 Kg2-f2 Kg4-f4 Kf2-e2 Kf4-e5 Ke2-f3
Ke5-d6 Kf3-g3 Kd6-d5 Kg3-g2 Kd5-e6 Kg2-g3) 0.00/30 1} Rxd3 {(Rd1xd3 Ke2xd3
Kb4-c5 Kd3-e3 Kc5-d5 Ke3-f4 Kd5-e6 Kf4-f3 Ke6-e5 g3-g4 f5xg4+ Kf3xg4 Ke5-e4
Kg4-g3 Ke4-d3 Kg3-f3 Kd3-c4 Kf3-e2 Kc4-c5 Ke2-f3 Kc5-d6 Kf3-f4 Kd6-d5
Kf4-e3 Kd5-e5 Ke3-d2 Ke5-f5 Kd2-c2 Kf5-g5 Kc2-c3 Kg5-g6 Kc3-c2) 0.00/29 0}
96. Kxd3 {(Ke2xd3 Kb4-c5 Kd3-e3 Kc5-d6 Ke3-f4 Kd6-e6 Kf4-g5 Ke6-e5 Kg5-h5
f5-f4 g3xf4+ Ke5xf4 Kh5-g6 Kf4-e5 Kg6-g5 Ke5-d5 Kg5-f6 Kd5-d6 Kf6-f7 Kd6-e5
Kf7-e7 Ke5-f5 Ke7-d6 Kf5-f6 Kd6-c6 Kf6-g6 Kc6-d5 Kg6-h6 Kd5-d6 Kh6-h7
Kd6-c7 Kh7-g6 Kc7-c6 Kg6-g5 Kc6-b5 Kg5-f5 Kb5-c5 Kf5-g6) 0.00/36 1} Kc5
{(Kb4-c5 Kd3-e3 Kc5-d5 Ke3-f4 Kd5-e6 g3-g4 f5xg4 Kf4xg4 Ke6-e5 Kg4-g3
Ke5-e4 Kg3-f2 Ke4-d3 Kf2-e1 Kd3-e3 Ke1-d1 Ke3-d4 Kd1-e2 Kd4-c5 Ke2-e3
Kc5-d5 Ke3-f3 Kd5-e5 Kf3-g4 Ke5-d4 Kg4-f4 Kd4-c3 Kf4-e4 Kc3-b4 Ke4-d5
Kb4-c3) 0.00/34 0} 97. Ke3 {(Kd3-e3 Kc5-d6 Ke3-f4 Kd6-e6 Kf4-g5 Ke6-e5
Kg5-h5 f5-f4 g3xf4+ Ke5xf4 Kh5-g6 Kf4-f3 Kg6-f7 Kf3-e3 Kf7-g8 Ke3-d2 Kg8-f8
Kd2-c2 Kf8-e8 Kc2-c1 Ke8-f7 Kc1-b1 Kf7-g8 Kb1-b2 Kg8-h8 Kb2-c2 Kh8-h7
Kc2-c3 Kh7-g6 Kc3-b2 Kg6-g5 Kb2-c2 Kg5-f4 Kc2-c3 Kf4-e5 Kc3-d2 Ke5-d6
Kd2-c3) 0.00/38 1} Kd5 {(Kc5-d5 Ke3-f4 Kd5-e6 g3-g4 f5xg4 Kf4xg4 Ke6-e5
Kg4-f3 Ke5-d4 Kf3-f4 Kd4-c3 Kf4-f5 Kc3-c4 Kf5-g5 Kc4-b5 Kg5-f6 Kb5-b6
Kf6-e5 Kb6-c5 Ke5-f4 Kc5-b4 Kf4-e4 Kb4-b5 Ke4-d3 Kb5-c6 Kd3-c2 Kc6-d5
Kc2-b3 Kd5-e5 Kb3-c3 Ke5-e4 Kc3-d2 Ke4-d5 Kd2-e3 Kd5-e5) 0.00/34 0} 98. Kf4
{(Ke3-f4 Kd5-e6 Kf4-g5 Ke6-e5 Kg5-h5 f5-f4 g3xf4+ Ke5xf4 Kh5-g6 Kf4-f3
Kg6-g5 Kf3-e4 Kg5-f6 Ke4-d5 Kf6-g7 Kd5-d6 Kg7-f7 Kd6-c6 Kf7-e7 Kc6-b7
Ke7-f8 Kb7-c7 Kf8-e8 Kc7-b6 Ke8-d7 Kb6-b7 Kd7-e7 Kb7-a6 Ke7-d6 Ka6-b5
Kd6-d5 Kb5-a4 Kd5-d6 Ka4-b4 Kd6-e7 Kb4-c3 Ke7-e8 Kc3-d3 Ke8-d7 Kd3-d2
Kd7-e6) 0.00/39 2} Ke6 {(Kd5-e6 g3-g4 f5xg4 Kf4xg4 Ke6-e5 Kg4-f3 Ke5-d4
Kf3-f4 Kd4-c3 Kf4-e3 Kc3-c4 Ke3-e4 Kc4-c5 Ke4-f4 Kc5-d4 Kf4-g3 Kd4-d5
Kg3-f3 Kd5-e5 Kf3-e3 Ke5-d6 Ke3-f4 Kd6-c7 Kf4-g5 Kc7-b6 Kg5-f4 Kb6-c6
Kf4-f3 Kc6-b5 Kf3-g3 Kb5-c4 Kg3-g2 Kc4-b4 Kg2-f2 Kb4-c5 Kf2-e3) 0.00/36 0}
99. Kg5 {(Kf4-g5 Ke6-e5 Kg5-h5 f5-f4 g3xf4+ Ke5xf4 Kh5-g6 Kf4-g3 Kg6-h7
Kg3-h4 Kh7-h8 Kh4-g5 Kh8-g7 Kg5-g4 Kg7-f7 Kg4-h4 Kf7-f8 Kh4-h3 Kf8-g8
Kh3-h2 Kg8-g7 Kh2-g2 Kg7-f8 Kg2-f2 Kf8-f7 Kf2-g3 Kf7-e7 Kg3-h3 Ke7-e6
Kh3-h2 Ke6-d5 Kh2-g3 Kd5-c4 Kg3-g2 Kc4-b5 Kg2-f1 Kb5-b6 Kf1-e1 Kb6-c7
Ke1-f2 Kc7-d7) 0.00/40 1} Ke5 {(Ke6-e5 Kg5-h4 Ke5-e4 Kh4-h5 f5-f4 g3xf4
Ke4xf4 Kh5-h4 Kf4-f3 Kh4-h3 Kf3-e3 Kh3-g3 Ke3-d2 Kg3-f2 Kd2-d3 Kf2-f3
Kd3-c4 Kf3-e3 Kc4-d5 Ke3-f2 Kd5-c4 Kf2-g3 Kc4-c3 Kg3-g4 Kc3-d2 Kg4-f5
Kd2-c2 Kf5-f4 Kc2-b1 Kf4-g3 Kb1-c1 Kg3-g2 Kc1-b2 Kg2-g3 Kb2-c3) 0.00/37 0}
100. Kg6 {(Kg5-g6 f5-f4 g3xf4+ Ke5xf4 Kg6-f6 Kf4-f3 Kf6-e6 Kf3-g4 Ke6-d6
Kg4-h3 Kd6-c6 Kh3-g2 Kc6-d5 Kg2-f1 Kd5-e6 Kf1-e1 Ke6-f5 Ke1-e2 Kf5-e5
Ke2-d3 Ke5-d5 Kd3-e3 Kd5-e6 Ke3-d3 Ke6-e5 Kd3-d2 Ke5-d4 Kd2-e1 Kd4-d5
Ke1-d2 Kd5-c4 Kd2-e1 Kc4-b3 Ke1-f1 Kb3-b4 Kf1-f2 Kb4-a5 Kf2-f3 Ka5-b4
Kf3-g2) 0.00/41 1} f4 {(f5-f4 g3xf4+ Ke5xf4 Kg6-h7 Kf4-g5 Kh7-g7 Kg5-h4
Kg7-h6 Kh4-g3 Kh6-h5 Kg3-f3 Kh5-g5 Kf3-e3 Kg5-g4 Ke3-d2 Kg4-f5 Kd2-c3
Kf5-f6 Kc3-d4 Kf6-e7 Kd4-e5 Ke7-d7 Ke5-d4 Kd7-d6 Kd4-c4 Kd6-e5 Kc4-d3
Ke5-e6 Kd3-e4 Ke6-f7 Ke4-f4 Kf7-e6 Kf4-g4 Ke6-f7 Kg4-f4) 0.00/36 0} 101.
gxf4+ {(g3xf4+ Ke5xf4 Kg6-f6 Kf4-g4 Kf6-e6 Kg4-h3 Ke6-d6 Kh3-g3 Kd6-c5
Kg3-f2 Kc5-c4 Kf2-e1 Kc4-c3 Ke1-f1 Kc3-b4 Kf1-e2 Kb4-b3 Ke2-d2 Kb3-b2
Kd2-e3 Kb2-a3 Ke3-e4 Ka3-a4 Ke4-f5 Ka4-a5 Kf5-g6 Ka5-a6 Kg6-f7 Ka6-b6
Kf7-e6 Kb6-c6 Ke6-f6 Kc6-c5 Kf6-f5 Kc5-c4 Kf5-g5 Kc4-c3 Kg5-g6 Kc3-d4
Kg6-f7 Kd4-c4 Kf7-g8 Kc4-c5) 0.00/41 1} Kxf4 {(Ke5xf4 Kg6-f6 Kf4-e4 Kf6-e7
Ke4-d5 Ke7-f7 Kd5-c4 Kf7-e6 Kc4-b4 Ke6-f6 Kb4-c5 Kf6-e5 Kc5-c6 Ke5-f4
Kc6-d6 Kf4-g3 Kd6-c5 Kg3-f3 Kc5-c4 Kf3-e3 Kc4-c3 Ke3-e4 Kc3-d2 Ke4-d5
Kd2-c2 Kd5-c5 Kc2-d2 Kc5-c6 Kd2-c3 Kc6-c7 Kc3-b4 Kc7-c6 Kb4-c4 Kc6-d6
Kc4-b3 Kd6-e5 Kb3-c2) 0.00/37 0 Insufficient material} 1/2-1/2 [\pgn][/pgn]
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Nordlandia
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Location: Sortland, Norway

Re: How powerful is the Queen compared to 2 Rooks ?

Post by Nordlandia »

S-Chess stockfish fork.

PawnValueMg = 166, PawnValueEg = 245,
KnightValueMg = 801, KnightValueEg = 772,
BishopValueMg = 893, BishopValueEg = 856,
RookValueMg = 1313, RookValueEg = 1261,
HawkValueMg = 1954, HawkValueEg = 2172,
ElephantValueMg = 2060, ElephantValueEg = 2556,
QueenValueMg = 2198, QueenValueEg = 2617,


Average value Q= 2407,5 : 265 ~ 9
Average value C= 2308 : 265 ~ 8,70
Average value H= 2063 : 265 ~ 7.785
Average value R= 1287 : 265 ~ 4.9
Average value B 874,5 : 265 ~ 3.3
Average value N 786,5 : 265 ~ 3
Average value P 205,5 : 265 ~ 0.8
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