Chess324

Chessqueen · Post by **Chessqueen** » Mon Aug 15, 2022 12:27 am

lkaufman wrote: ↑Fri Aug 12, 2022 5:47 am There has been some discussion about how to improve chess960 (Fischerandom Chess) to address the fact that when top engines play against each other on good hardware at Rapid or slower time controls almost all the games end in draws, just as in normal chess (without forced unbalanced openings). Scrapping the symmetry requirement leads to some positions where one side is quite clearly winning.
I believe I have found a solution that is aesthetically pleasing, doesn't require special castling rules, and will dramatically lower draw percentages without any clearly won positions. I call it "Chess324". All rules are the same as in normal chess, including castling, only the start position is modified. The kings and rooks are placed on their normal positions. All the other pieces for White and Black are placed randomly, with no symmetry requirement, with the only restriction being that for each side the bishops must be on opposite colored squares. Unless I have miscalculated, there are 18 permutations for each side, making 324 total possible positions (including 18 symmetrical ones that are legal in chess960 of which 1 is the normal start position of chess).
In order to determine whether these positions are playable, I checked out the most promising-looking ones for White by checking whether White's advantage ever exceeds Black's advantage in normal chess after the Grob (1g4?) is played. There has been much discussion in the past over whether the Grob is losing or not, and I doubt that anyone really knows the answer; the Hiarcs database has Black winning 49% of the games, Lc0 gives Black 54% winning chance, and Stockfish and Dragon give evals suggesting that it is more likely to be a win than a draw but is very near the line. I checked all the promising positions I could think of with recent versions of Stockfish, Dragon, and Lc0, and in no case did I find one that produced an advantage larger than Black gets with the Grob (one position was tied per Lc0 but less per SF and Dragon). Of course the evals are all over the place, sometimes even Black is better, sometimes it's about even but not "balanced", sometimes one side is much better, but never clearly winning (at least not as clearly winning as the Grob as far as I was able to tell). Since many evals clearly favor one side, chess324 should be played in pairs of games, each side having White from the same position once. With humans, that's not essential, just recommended; with engines it would be necessary.
This version has huge advantages over chess960. First, no special castling rules, any engine or GUI or human can play with no instruction after seeing the initial position. Second, since all but 18 of the 324 positions are asymmetrical, opening play should be much more interesting and complex. Third, the normal positioning of the rooks and kings and normal castling makes the game feel closer to normal chess. Fourth, matches of up to 648 games can be played with no repeat positions, generally enough for most purposes. Most important, no matter how many cores or how much time the engines get, there should be plenty of decisive games for the foreseeable future since many positions are at least not too far from the win/draw line. The stronger engine will score 1.5 out of 2 in many of these positions for many years to come, unless chess is truly solved some day.
It is quite possible that a few of the initial positions may ultimately be judged to be won for White, but I am confident that even if they are "won", they will be near enough to the draw line to be playable with any current hardware or engines.

Another factor that we have to take into consideration is NOT what side has the advantage, but which side has the first move. We know that traditionally White always has the first move, but what happens if we take the same asymmetrical position and give the Black side the first move. All that I want to point out is a very important element, which is that the first move count for almost 1.00

[pgn][Event "Computer chess game"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2022.08.14"]
[Round "?"]
[White " Dragon 2.6.1"]
[Black "Berserk-9-x64-avx2-pext"]
[Result "1-0"]
[BlackElo "3490"]
[Time "16:43:26"]
[WhiteElo "3640"]
[TimeControl "180+3"]
[SetUp "1"]
[FEN "rbbnknqr/pppppppp/8/8/8/8/PPPPPPPP/RBBNKQNR w KQkq - 0 1"]
[Termination "normal"]
[PlyCount "116"]
[WhiteType "program"]
[BlackType "program"]

1. e4 {(e2-e4 c7-c5 f2-f4 f7-f5 e4xf5 d7-d5 c2-c3 Nd8-c6 g2-g3 a7-a6 Ng1-f3
Bb8-a7 Qf1-e2 Bc8-d7 a2-a3 Nc6-a5 Nd1-e3 c5-c4 Bb1-c2 O-O-O Nf3-e5 d5-d4
Ne3xc4 Na5xc4 Qe2xc4+ Qg8xc4 Ne5xc4) +1.23/24 6} f6 {(f7-f6 d2-d4 d7-d5
e4xd5 Qg8xd5 c2-c3 Qd5-f7 Nd1-e3 Nf8-g6 Bb1-c2 c7-c6 Bc1-d2 Ng6-f4 h2-h4
Nf4-d5 Ne3-f5 Bb8-f4 O-O-O Bf4xd2+ Rd1xd2 Bc8-d7 Kc1-b1 Nd8-e6 Ng1-e2 g7-g6
Nf5-e3 Ne6-c7 Ne2-c1 O-O-O Qf1-e2 Nd5xe3 Qe2xe3 Qf7-e6 Qe3-g3 Nc7-d5
Qg3-f3) -0.82/23 6} 2. c3 {(c2-c3 c7-c6 Nd1-e3 e7-e5 Ng1-f3 Qg8-f7 d2-d4
e5xd4 c3xd4 Nf8-g6 Bc1-d2 b7-b6 Bb1-c2 a7-a5 Qf1-d3 O-O Qd3-a3 d7-d5 e4xd5
c6xd5 O-O-O Ng6-f4 g2-g3 Nf4-h3 Ne3xd5 Nh3xf2 Nd5-e7+ Kg8-h8 Ne7xc8)
+1.28/27 21} d5 {(d7-d5 e4xd5 Qg8xd5 d2-d4 Bc8-d7 Nd1-e3 Qd5-f7 a2-a4
Nf8-g6 f2-f4 e7-e6 Ng1-e2 O-O Qf1-f2 a7-a5 O-O Bb8-a7 f4-f5 Ng6-e7 f5xe6
Bd7xe6 Qf2-h4 f6-f5 Qh4-g3 c7-c6 Bb1-d3 Ba7-b8 Ne2-f4 Kg8-h8 Qg3-f2 Bb8xf4)
-0.90/25 27} 3. exd5 {(e4xd5 Qg8xd5 Nd1-e3 Qd5-f7 d2-d4 c7-c5 d4xc5 Nf8-d7
Bb1-c2 Nd7xc5 Qf1-b5+ Nc5-d7 b2-b3 Nd8-c6 Bc1-a3 Nd7-b6 Ng1-f3 Bc8-d7
Bc2-e4 O-O O-O-O Rf8-d8 Kc1-b1 Bb8-f4 Ba3-c5 f6-f5 Bc5xb6 a7xb6) +1.22/26
7} Qxd5 {(Qg8xd5 Nd1-e3 Qd5-f7 d2-d4 a7-a6 Ng1-f3 Nf8-g6 Qf1-e2 Ng6-f4
Qe2-d1 Qf7-h5 O-O O-O Rf1-e1 c7-c5 Bb1-e4 c5xd4 Nf3xd4 Qh5-c5 Qd1-b3+
Kg8-h8 Qb3-c4 Qc5-e5 Nd4-f3 Qe5-c7 Qc4xc7 Bb8xc7 g2-g3 Nf4-h3+ Kg1-g2)
-0.94/24 9} 4. Ne3 {(Nd1-e3 Qd5-f7 d2-d4 c7-c5 d4xc5 Nf8-d7 Bb1-c2 Nd7xc5
Qf1-b5+ Nc5-d7 b2-b3 Nd8-c6 Bc1-a3 a7-a6 Qb5-e2 O-O Ng1-f3 Nd7-e5 O-O-O
Qf7-h5 Ne3-d5 Bc8-f5 Ba3xe7 Bf5xc2 Qe2xc2 Rf8-e8 Nf3xe5 Nc6xe7) +1.23/27
12} Qf7 {(Qd5-f7 d2-d4 a7-a6 Ng1-f3 Nf8-g6 h2-h4 Ng6-f4 g2-g3 Nf4-d5 Qf1-e2
Nd5xe3 Qe2xe3 Qf7-e6 O-O Qe6xe3 Bc1xe3 Bc8-e6 Nf3-e1 c7-c6 Ne1-d3 Be6-d5
a2-a4 Bb8-d6 Bb1-c2 g7-g6 Rf1-e1) -0.66/23 8} 5. d4 {(d2-d4 c7-c5 d4xc5
Nf8-d7 Bb1-c2 Nd7xc5 Qf1-b5+ Nc5-d7 b2-b3 Nd8-c6 Bc1-a3 Nd7-b6 Ng1-f3
Bc8-d7 Bc2-e4 O-O O-O-O Rf8-d8 g2-g3 Bb8-c7 Rd1-d2 e7-e6 Rh1-d1 Bd7-e8
Qb5-e2 f6-f5 Be4-c2 Qf7-f6 Rd2xd8 Ra8xd8) +1.23/27 9} a6 {(a7-a6 Ng1-f3
Nf8-g6 a2-a4 Bc8-d7 Qf1-d3 Ng6-f4 Qd3-e4 c7-c5 O-O Bd7-c6 d4-d5 Bc6xd5
Ne3xd5 Qf7xd5 Qe4-c2 Nd8-e6 Rf1-d1 Qd5-c6 Bc1xf4 Ne6xf4 Qc2-e4 Qc6xe4
Bb1xe4 Ra8-a7 g2-g3 Nf4-e6 a4-a5 Bb8-c7 b2-b4 c5xb4 c3xb4 Ke8-f7 Be4-d5
Rh8-d8) -0.72/24 5} 6. Nf3 {(Ng1-f3 Bc8-d7 Qf1-e2 Nf8-g6 O-O Ng6-f4 Qe2-d1
c7-c6 Rf1-e1 Nd8-e6 Qd1-b3 Ne6-d8 c3-c4 O-O Bc1-d2 e7-e5 d4xe5 Bb8xe5
Ne3-f5 Kg8-h8 Nf3xe5 f6xe5 Re1xe5) +1.44/25 21} Ng6 {(Nf8-g6 a2-a3 Ng6-f4
Ne3-f5 c7-c6 Bc1xf4 Bb8xf4 Qf1-e2 g7-g6 Nf5-e3 Bc8-e6 O-O O-O Rf1-e1 Kg8-h8
a3-a4 a6-a5 Bb1-d3 Ra8-c8 Nf3-d2 Bf4-c7 Bd3-c4 f6-f5) -1.02/25 5} 7. h4
{(h2-h4 Bb8-a7 h4-h5 Ng6-f4 Bb1-c2 Bc8-e6 c3-c4 Be6-d7 d4-d5 Nf4xh5 Bc1-d2
e7-e5 O-O-O g7-g6 Qf1-e1 O-O Kc1-b1 Rf8-e8 g2-g4 Ba7xe3 g4xh5 Be3xd2 Nf3xd2
g6-g5 Nd2-e4 Kg8-h8 h5-h6) +1.55/26 19} Nf4 {(Ng6-f4 a2-a3 c7-c6 Bb1-c2
Nf4-d5 Bc1-d2 Nd5xe3 Bd2xe3 Qf7-h5 O-O-O Bc8-f5 Qf1-e2 Bf5xc2 Qe2xc2 O-O
Nf3-d2 b7-b5 Kc1-b1 Bb8-c7 Rh1-g1 Nd8-e6 g2-g4 Qh5-d5 h4-h5 f6-f5 g4xf5
Qd5xf5 h5-h6 Qf5xc2+ Kb1xc2 g7-g6 Rd1-e1 Ne6-f4 Nd2-e4 Nf4-d5 Ne4-c5)
-0.65/26 5} 8. Bc2 {(Bb1-c2 Bb8-a7 h4-h5 Bc8-e6 c3-c4 Be6-d7 d4-d5 Nf4xh5
Bc1-d2 e7-e5 O-O-O g7-g6 Qf1-e1 O-O Kc1-b1 Ba7xe3 f2xe3 Bd7-g4 e3-e4 Qf7-d7
Qe1-h4 Nd8-f7 Bd2-b4 g6-g5 Qh4-h2) +1.52/25 11} Bd7 {(Bc8-d7 g2-g3 Nf4-d5
Qf1-g2 Nd5xe3 Bc1xe3 Bd7-c6 O-O Bb8-a7 Bc2-b3 Bc6-d5 Bb3xd5 Qf7xd5 Rf1-e1
O-O b2-b3 c7-c6 c3-c4 Qd5-d7 Ra1-d1 Nd8-f7 Qg2-f1 Ra8-d8 Qf1-e2 Rf8-e8
Kg1-g2 Qd7-f5 Be3-f4 e7-e6) -0.70/28 19} 9. h5 {(h4-h5 c7-c6 Bc1-d2 Bb8-c7
h5-h6 g7-g6 c3-c4 e7-e5 d4xe5 f6xe5 O-O-O Qf7-f6 Bd2-c3 Nd8-f7 g2-g3 Nf4-e6
Qf1-g2 Ne6-g5 Nf3-d2 Qf6-e7 Rh1-e1 O-O-O f2-f4 Ng5-e6 Nd2-e4 Nf7xh6 f4xe5
Nh6-f7 Ne4-d6+ Nf7xd6) +1.40/25 13} Nxh5 {(Nf4xh5 Bc2-b3 e7-e6 Bc1-d2
Bb8-a7 Ne3-f5 g7-g6 Nf5-h6 Qf7-e7 g2-g4 Nh5-g7 g4-g5 f6-f5 Nf3-e5 Nd8-c6
Nh6-f7 Nc6xe5 Nf7xe5 O-O-O O-O-O Bd7-b5 Qf1-g2 Qe7-e8 Rd1-e1 Kc8-b8 Qg2-h3
Kb8-a8 c3-c4) -0.98/25 14} 10. Bb3 {(Bc2-b3 e7-e6 Ne3-f5 Bd7-b5 c3-c4
Bb5-c6 Qf1-e2 O-O c4-c5 Bc6-d5 Nf5-e7+ Qf7xe7 Bb3xd5 c7-c6 Bd5-b3 Nh5-f4
Bc1xf4 Bb8xf4 Rh1-h4 Bf4-g5 Rh4-e4 g7-g6 Nf3xg5 f6xg5 O-O-O Rf8-f4 Re4xf4
g5xf4 Qe2-e5 a6-a5 Qe5xf4) +1.78/24 5} Ne6 {(Nd8-e6 Ne3-d5 g7-g6 g2-g4
Nh5-g7 Bc1-h6 g6-g5 O-O-O a6-a5 a2-a4 Ke8-d8 Nf3-d2 Ra8-a6 Bb3-c4 Ra6-d6
Nd5-e3 Qf7-g6 Bc4-d3 Qg6-f7 Bh6xg7 Ne6xg7 Nd2-e4 Rd6-b6 Ne4-c5 Qf7-a2
Ne3-c4 Bd7xg4 Qf1-g2 Bg4xd1 Rh1xd1 Kd8-e8 Qg2-d5 Rb6-c6 Nc5xb7 Qa2-a1+
Kc1-d2) -1.78/27 23} 11. Nd5 {(Ne3-d5 g7-g6 g2-g4 Nh5-g7 Bc1-h6 a6-a5 a2-a4
g6-g5 O-O-O Ra8-a6 Nf3-d2 c7-c6 Nd5-e3 Qf7-g6 Bb3-c2 Qg6-f7 Kc1-b1 Ke8-d8
Bh6xg7 Ne6xg7 Nd2-e4 Bb8-d6 d4-d5 h7-h6 d5xc6 Bd7xc6 Ne4xd6) +2.39/26 13}
g6 {(g7-g6 g2-g4 Nh5-g7 Bc1-h6 a6-a5 a2-a4 Ra8-a6 O-O-O Ke8-d8 Nf3-d2
Ng7-e8 Nd5-e3 g6-g5 f2-f4 g5xf4 Bh6xf4 Ra6-b6 Bf4-g3 Ne8-d6 Bg3xd6 c7xd6
Rd1-e1 h7-h5 Qf1-f3 h5-h4 Kc1-b1 Kd8-c8 Ne3-d5 Rb6xb3 Nd2xb3 Bb8-c7)
-1.91/26 12} 12. g4 {(g2-g4 Nh5-g7 Bc1-h6 g6-g5 O-O-O a6-a5 a2-a4 Ra8-a6
Nf3-d2 Ke8-d8 Bb3-c4 Ra6-c6 f2-f4 Rc6xc4 Qf1xc4 Ng7-e8 f4-f5 Ne8-d6 Qc4-b3
b7-b6 Rd1-e1 Ne6-f4 Nd5xf4 Qf7xb3 Nd2xb3 g5xf4 Nb3-d2 Bd7xa4 Bh6xf4 Nd6-f7)
+2.59/26 10} Nhg7 {(Nh5-g7 Bc1-h6 Bd7-b5 Qf1-h3 a6-a5 a2-a4 Bb5-d7 O-O-O
Ke8-d8 Nf3-d2 Ra8-a6 Qh3-f1 Ng7-e8 Nd5-e3 Ra6-b6 f2-f4 Rb6xb3 Nd2xb3 Bd7xa4
Nb3xa5 Kd8-c8 b2-b3 Ba4-d7 f4-f5 Ne6-d8 Bh6-f4 g6xf5 g4xf5 h7-h5 Rh1-h4
Ne8-g7 Qf1-d3 e7-e6 f5xe6 Ng7xe6 d4-d5 Ne6xf4) -1.87/24 3} 13. Bh6 {(Bc1-h6
a6-a5 a2-a4 Ra8-a6 O-O-O g6-g5 Nf3-d2 c7-c6 Nd5-e3 Qf7-g6 Bb3-c2 Qg6-f7
Nd2-e4 Bb8-f4 Kc1-b1 Ne6-c7 Qf1-d3 Ra6-a8 Bh6xg7 Qf7xg7 Rd1-e1 Bf4xe3
Qd3xe3 Ke8-d8 Ne4-c5 Bd7xg4 Nc5xb7+ Kd8-c8 Nb7-c5 Nc7-d5 Qe3-e4 h7-h5 f2-f3
Bg4-d7) +2.47/25 5} g5 {(g6-g5 O-O-O a6-a5 a2-a4 Ra8-a6 Bb3-c4 Ra6-d6
Nd5-e3 Qf7-g6 Bh6xg7 Ne6xg7 Bc4-d3 Qg6-f7 Bd3xh7 Ke8-d8 Bh7-c2 Rh8xh1
Qf1xh1 Bd7-c6 Qh1-h8+ Ng7-e8 Nf3-d2 Rd6-d7 Rd1-e1 e7-e6 Bc2-b3 Bb8-a7
Ne3-c4 b7-b6 f2-f3 Bc6-d5 Qh8-h2 Kd8-c8 Qh2-e2 c7-c6 Re1-h1 Ne8-c7 Rh1-h8+
Kc8-b7) -1.87/27 20} 14. O-O-O {(O-O-O a6-a5 a2-a4 Ra8-a6 Nf3-d2 Qf7-g6
Bb3-c2 Qg6-f7 Nd2-e4 c7-c6 Nd5-e3 Bb8-f4 Kc1-b1 Ne6-c7 Ne4-c5 Ng7-e6 Nc5xa6
Nc7xa6 Qf1-e2 Ne6-c7 Ne3-c4 Qf7-e6 Qe2-d3 Qe6-f7 Nc4xa5 Bd7xg4 Na5xb7
Bg4xd1 Qd3xd1 Nc7-d5 Qd1-g4) +2.45/27 6} a5 {(a6-a5 a2-a4 Ra8-a6 Bb3-c4
c7-c6 Bc4xa6 c6xd5 Ba6-b5 Bd7-c6 Kc1-b1 Ne6-f4 Bh6xg7 Qf7xg7 Nf3-d2 Qg7-g6+
Kb1-a2 f6-f5 g4xf5 Qg6xf5 Nd2-b3 Qf5-c8) -2.01/25 7} 15. a4 {(a2-a4 Ra8-a6
Nd5-e3 Ke8-d8 Nf3-d2 Ng7-e8 f2-f4 g5xf4 Bh6xf4 h7-h5 Bf4-g3 Ne8-g7 Bb3-c4
Ra6-b6 Nd2-e4 Qf7-e8 d4-d5 Ne6-g5 Ne4xg5 f6xg5 Bg3-e5 Rb6-g6 Bc4-b5 Rh8-f8
Qf1-e2 h5xg4 Ne3xg4) +2.57/25 5} Ra6 {(Ra8-a6 Bb3-c4 c7-c6 Bc4xa6 c6xd5
Ba6-b5 Bd7-c6 Nf3-d2 f6-f5 Bb5xc6+ b7xc6 Bh6xg7 Ne6xg7 Qf1-d3 f5xg4 Rh1xh7
Rh8xh7 Qd3xh7 Bb8-f4 Kc1-c2 Bf4-c7 Kc2-b1 Ng7-h5 Qh7-h8+ Ke8-d7 Nd2-b3
Bc7-d6 Kb1-a2 Qf7-f3 Rd1-d2 Nh5-f4 Qh8-a8 Nf4-d3 Nb3xa5) -2.07/27 9} 16.
Ne3 {(Nd5-e3 Ke8-d8 Nf3-d2 Ng7-e8 f2-f4 g5xf4 Bh6xf4 h7-h5 g4xh5 Ra6-b6
h5-h6 Rb6xb3 Nd2xb3 Ne6xf4 Nb3-c5 Nf4-d5 Nc5xb7+ Kd8-c8 Nb7-c5 Ne8-d6
Ne3-c4 Nd6xc4 Qf1xc4 c7-c6 Qc4-a6+ Kc8-d8 Qa6xa5+ Kd8-e8) +2.51/25 6} Kd8
{(Ke8-d8 Nf3-d2 Ng7-e8 f2-f4 g5xf4 Bh6xf4 h7-h5 Rd1-e1 Ra6-b6 Bb3-d5 Kd8-c8
Bd5-c4 h5-h4 Ne3-f5 c7-c6 Bf4-e3 Ne8-c7 Nf5xh4 Nc7-d5 Nh4-f5 Rh8xh1 Qf1xh1
Bb8-c7 Qh1-h8+ Bd7-e8 Nd2-e4 Kc8-b8 Ne4-c5 Ne6xc5) -1.98/25 12} 17. Nd2
{(Nf3-d2 Ng7-e8 f2-f4 g5xf4 Bh6xf4 h7-h5 g4xh5 Rh8xh5 Qf1-f3 Rh5xh1 Rd1xh1
Ra6-b6 Bb3-d5 Qf7-g6 Nd2-c4 Ne6xf4 Qf3xf4 Qg6-g5 Qf4-h2 Rb6-d6 Bd5xb7 f6-f5
Kc1-b1 c7-c6 Bb7-a6 f5-f4 Nc4xd6 Bb8xd6 Ne3-c4 f4-f3 Qh2-h5 Qg5xh5 Rh1xh5)
+2.63/24 3} Ne8 {(Ng7-e8 f2-f4 g5xf4 Bh6xf4 h7-h5 Rd1-e1 Ra6-b6 Bf4-g3
Qf7-g8 Bb3-d5 h5-h4 Bg3xh4 Bd7xa4 Qf1-f3 Ba4-d7 Ne3-c4 Rb6-b5 Bd5xb7 Ne6-g5
Qf3-g2 Ne8-d6 Bb7-a6 Nd6xc4 Qg2-a8 Nc4xd2 Ba6xb5 Nd2-b3+ Kc1-c2 Kd8-c8)
-2.05/26 11} 18. f4 {(f2-f4 g5xf4 Bh6xf4 h7-h5 Rd1-e1 Ra6-b6 Bb3-c4 Qf7-g7
Rh1xh5 Rh8xh5 g4xh5 Ne6xf4 Qf1xf4 Qg7-g5 Qf4-h2 Qg5-h6 Bc4-f7 Ne8-d6 Ne3-d5
Nd6xf7 Nd5xb6 Bd7-g4 Nb6-c4 Qh6xh5 Qh2xh5 Bg4xh5 Nc4xa5) +2.69/23 3} gxf4
{(g5xf4 Bh6xf4 h7-h5 Rd1-e1 Ra6-b6 Bb3-d5 Kd8-c8 Nd2-c4 Rb6-a6 Bf4-g3
Qf7-f8 Rh1xh5 c7-c6 Bg3xb8 Kc8xb8 Bd5-e4 Rh8xh5 g4xh5 Qf8-h6 Qf1-h3 b7-b5
Qh3-h2+ Kb8-c8 Nc4-d2 Ne8-d6) -2.15/22 5} 19. Bxf4 {(Bh6xf4 h7-h5 Rd1-e1
Ra6-b6 Bb3-c4 Qf7-g7 Rh1xh5 Ne6xf4 Qf1xf4 Rh8xh5 g4xh5 e7-e5 d4xe5 f6xe5
Qf4-h4+ Qg7-f6 Qh4-h1 Qf6-h6 Bc4-d3 Rb6-d6 Bd3-g6 Kd8-c8 Ne3-c4 Bb8-a7
Nc4xd6+ Ne8xd6 Qh1-h4 Ba7-e3) +2.64/23 3} h5 {(h7-h5 Rd1-e1 Ra6-b6 Bf4-g3
Qf7-g8 Bb3-d5 Bb8-a7 Nd2-c4 c7-c6 Nc4xb6 Ba7xb6 Bd5-f3 h5xg4 Rh1xh8 Qg8xh8
Bf3xg4 Bb6-c7 Bg3xc7+ Ne6xc7 Bg4xd7 Kd8xd7 Qf1-f5+ e7-e6 Qf5xa5 Qh8-h4
Ne3-c2 Ne8-d6 Qa5-b4 Nc7-d5 Qb4-b3 Qh4-f4+ Kc1-b1 Qf4-g3 Kb1-a1 Qg3-d3
Ka1-a2) -2.30/26 3} 20. Re1 {(Rd1-e1 Ra6-b6 Bb3-c4 Qf7-g7 Rh1xh5 Rh8xh5
g4xh5 Ne6xf4 Qf1xf4 e7-e5 d4xe5 f6xe5 Qf4-h4+ Qg7-f6 Qh4-h1 Qf6-h6 Bc4-d3
Rb6-d6 Bd3-g6 Bb8-a7 Ne3-c4 Ba7-f2 Nc4xd6 Ne8xd6 Re1xe5 Nd6-c4 Re5-e2
Nc4xd2) +2.69/22 3} Rb6 {(Ra6-b6 Bf4-g3 Qf7-g7 Bb3-c2 h5xg4 Nd2-c4 Bb8-a7
Nc4xb6 Ba7xb6 Rh1xh8 Qg7xh8 Bc2-f5 Qh8-g8 Kc1-b1 Bd7xa4 Qf1-c4 Ba4-d7
Qc4-d5 c7-c6 Qd5-b3 Bb6-c7 Bg3xc7+ Ne8xc7 Qb3xb7 Qg8-g5 Bf5xg4 Qg5-b5
Qb7xb5 c6xb5 Re1-h1 Ne6-g5 Bg4-d1 Nc7-e8) -2.42/26 4} 21. Bc4 {(Bb3-c4
Bb8-a7 Ne3-f5 Qf7-g6 Nf5-h6 Rh8xh6 Bf4xh6 h5xg4 Qf1-e2 Rb6-c6 Bh6-e3 Rc6xc4
Nd2xc4 Qg6-f5 b2-b3 Ne6-f8 Kc1-b2 Nf8-g6 Rh1-h7 Ng6-f4 Be3xf4 Qf5xh7 Nc4xa5
Ne8-d6 Bf4xd6 c7xd6 Na5xb7+ Kd8-c7) +2.77/24 19} Ba7 {(Bb8-a7 Ne3-d5 Rb6-c6
Nd5xe7 Rc6xc4 Qf1xc4 Rh8-h7 Bf4-g3 h5xg4 Ne7-d5 Rh7xh1 Re1xh1 Bd7-c6 Rh1-h8
Qf7-g7 Rh8-h5 Qg7-g6 Rh5-h2 Ne6-g5 Rh2-h8 Qg6-g7 Rh8-h4 f6-f5 Rh4-h5 Ne8-d6
Bg3xd6 c7xd6 Nd5-e3 Qg7-g6 Rh5-h8+ Kd8-d7 Rh8-g8) -2.12/24 6} 22. Rh4
{(Rh1-h4 Bd7xa4 Ne3-f5 Ba4-d7 Nd2-b3 Ne8-g7 Nb3-c5 Qf7-e8 Nf5xg7 Ne6xg7
Qf1-g2 Kd8-c8 g4xh5 Ng7-f5 Nc5xd7 Rb6-c6 Nd7xf6 Rc6xf6 Rh4-g4 Rh8xh5 Bf4-e5
Rf6-f8 Bc4-d5 Kc8-b8 Bd5xb7 Qe8-a4 Kc1-b1 Nf5-h4 Be5xc7+ Kb8xc7 Re1xe7+
Kc7-d8) +2.77/23 3} N8g7 {(Ne8-g7 Bf4-g3 Qf7-e8 Ne3-d5 Rb6-c6 Nd5xf6 e7xf6
d4-d5 Rc6xc4 Qf1xc4 Ba7-b6 d5xe6 Bd7xe6 Qc4-f4 Qe8-f7 g4xh5 Ng7-f5 Rh4-h2
Be6-d7 Bg3-f2 Bb6xf2 Rh2xf2 Rh8xh5 b2-b3 Kd8-c8 Kc1-b2 Nf5-d6 Qf4xf6 Qf7xf6
Rf2xf6 Kc8-b8 Rf6-f8+ Kb8-a7) -2.48/23 8} 23. Bg3 {(Bf4-g3 Qf7-g6 Bc4-d3
Qg6-e8 Nd2-c4 Bd7xa4 Nc4xb6 Ba7xb6 Bd3-c4 h5xg4 Rh4xg4 Ba4-d7 Qf1-f3 Bd7-c8
Ne3-d5 Qe8-c6 Qf3-f1 Qc6-a4 Nd5xe7 Ne6xd4 Rg4xd4+ Bb6xd4 c3xd4 Rh8-e8
Ne7xc8 Kd8xc8 Re1xe8+ Ng7xe8 Qf1-d3 Qa4-c6 Qd3-f5+ Kc8-b8) +3.02/22 4} Qg6
{(Qf7-g6 Bc4-d3 Qg6-e8 Nd2-c4 Bd7xa4 Ne3-d5 Rb6-a6 Bg3xc7+ Ne6xc7 Re1xe7
Nc7xd5 Re7xe8+ Ba4xe8 Qf1-f3 Nd5-c7 Qf3xb7 Be8-c6 Qb7-b3 a5-a4 Qb3-b4
Bc6-b5 Kc1-b1 a4-a3 b2xa3 Nc7-d5 Qb4-b3 Nd5-c7 Nc4-b2 Ra6-b6 Bd3xb5 Rb6xb5
Qb3-a4 Ba7-b8 c3-c4) -2.59/23 2} 24. Bd3 {(Bc4-d3 Qg6-e8 Nd2-c4 Rb6-a6
Bd3-e4 Kd8-c8 Qf1-h1 c7-c6 Ne3-f5 Ba7-b8 Qh1-h2 Bb8xg3 Qh2xg3 Ng7xf5 Be4xf5
Qe8-g8 Qg3-e3 Qg8-g5 Qe3xg5 f6xg5 Rh4xh5 Rh8xh5 g4xh5 Ne6-f4 Bf5xd7+ Kc8xd7
Nc4-e5+ Kd7-e6 h5-h6) +2.95/22 2} Qe8 {(Qg6-e8 Ne3-d5 Bd7xa4 Nd2-c4 Rb6-a6
Bg3xc7+ Ne6xc7 Re1xe7 Nc7xd5 Re7xe8+ Ba4xe8 Qf1-f3 Nd5-c7 Qf3xb7 Be8-c6
Qb7-b3 a5-a4 Qb3-d1 Bc6-d7 g4xh5 Ng7-f5 Rh4-h1 Nf5-d6 Kc1-b1 Nd6xc4 Bd3xc4
Ra6-b6 Qd1-f3 a4-a3 b2-b4 Rb6-d6 h5-h6 Bd7-c6 Qf3-g3) -2.91/22 1} 25. Ndc4
{(Nd2-c4 Rb6-a6 Bd3-e4 Kd8-c8 Qf1-g2 c7-c6 Ne3-f5 Ba7-b8 g4xh5 Rh8-g8
Nf5xg7 Rg8xg7 Be4-g6 Qe8-g8 Bg3xb8 Kc8xb8 Qg2-h2+ Kb8-a7 Qh2-f2 Ne6-f8
d4-d5+ Ka7-b8 Qf2-h2+ Kb8-a8 d5-d6 e7-e5 Bg6-d3 Rg7-g2) +3.15/23 8} Ra6
{(Rb6-a6 Nc4-d2 Ra6-b6 Ne3-d5 Bd7xa4 Nd2-c4 Rb6-a6 Bg3xc7+ Ne6xc7 Re1xe7
Nc7xd5 Re7xe8+ Ba4xe8 Qf1-f3 Nd5-c7 Nc4xa5 b7-b5 d4-d5 Kd8-c8 Na5-c6 Be8xc6
d5xc6 Rh8-e8 g4xh5 Ba7-e3+ Kc1-c2 Be3-g5 Rh4-h1 Bg5-h6 Bd3-f5+ Kc8-b8)
-3.01/26 10} 26. Be4 {(Bd3-e4 Kd8-c8 Qf1-g2 c7-c6 Ne3-f5 Ba7-b8 g4xh5
Rh8xh5 Nf5xg7 Ne6xg7 Bg3xb8 Rh5xh4 Qg2-g3 Ng7-e6 Be4-f5 Qe8-h5 Bf5xe6
Qh5-g5+ Qg3xg5 f6xg5 Bb8-g3 Bd7xe6 Re1xe6 Rh4-g4 Bg3-e5 Kc8-d7 Re6-g6
Kd7-e8 Kc1-d2 Ke8-f7 Rg6-g7+ Kf7-e6 Kd2-d3) +3.34/23 9} Kc8 {(Kd8-c8 Qf1-g2
c7-c6 Re1-h1 Ne6-g5 Be4-d3 Ba7-b8 Bg3xb8 Kc8xb8 g4xh5 Ng7-e6 Qg2-g3+ Kb8-a8
h5-h6 b7-b5 Nc4-d2 Ra6-b6 Qg3-f2 Qe8-d8 a4xb5 c6xb5 Rh1-e1 Rb6-b7 Kc1-b1
Ne6-c7 d4-d5 a5-a4) -2.99/22 2} 27. Qg2 {(Qf1-g2 c7-c6 Ne3-f5 Ba7-b8 g4xh5
Rh8xh5 Nf5xg7 Ne6xg7 Bg3xb8 Rh5xh4 Qg2-g3 Ng7-e6 Be4-f5 Qe8-h5 Bf5xe6
Qh5-g5+ Qg3xg5 f6xg5 Bb8-g3 Bd7xe6 Re1xe6 Rh4-g4 Bg3-e5 Kc8-d7 Re6-g6
Kd7-e8 Rg6-g8+ Ke8-f7 Rg8-b8 Rg4-g1+ Kc1-d2 g5-g4 Rb8xb7 g4-g3 Be5-d6 g3-g2
Rb7xe7+ Kf7-g8) +3.18/24 3} c6 {(c7-c6 Re1-h1 Ne6-g5 Be4-d3 Ba7-b8 Bg3xb8
Kc8xb8 g4xh5 Ng7-e6 Qg2-g3+ Kb8-a8 Nc4-d2 b7-b5 Ne3-f5 Ra6-a7 Qg3-e3 b5xa4
Nd2-c4 Ra7-b7 h5-h6 Qe8-b8 Nf5xe7 Ne6-c7 Qe3-g3 Nc7-d5 Qg3xb8+ Rb7xb8
Ne7xd5 c6xd5 Nc4-e3 Bd7-e6) -2.83/21 0} 28. Nf5 {(Ne3-f5 Ba7-b8 Nf5xg7
Ne6xg7 Bg3xb8 Kc8xb8 g4xh5 Qe8-f7 Nc4-e3 Ra6-b6 h5-h6 Ng7-e8 Be4-d3 Qf7-a2
Qg2-g3+ Kb8-a7 Ne3-c4 Qa2-a1+ Kc1-c2 Qa1xa4+ Kc2-b1 Rb6-b5 d4-d5 Rb5xd5
Nc4-d2 Rd5xd3 Qg3-g1+ c6-c5 Rh4xa4) +3.26/24 2} Bb8 {(Ba7-b8 Bg3xb8 Kc8xb8
g4xh5 Ng7xf5 Be4xf5 c6-c5 d4-d5 Ne6-g5 Bf5-d3 Qe8-d8 Bd3-c2 e7-e6 h5-h6
e6xd5 Qg2xd5 Bd7-e6 Qd5xd8+ Rh8xd8 Re1-f1 Be6xc4 Rh4xc4 Rd8-h8 Rf1-h1
Ra6-c6 Bc2-f5 Kb8-a7 Rc4-g4 Rc6-a6 Kc1-b1 Ra6-d6 h6-h7) -2.69/22 1} 29.
Bxb8 {(Bg3xb8 Kc8xb8 Nf5xg7 Ne6xg7 g4xh5 Qe8-f7 Nc4-e3 Ra6-b6 h5-h6 Ng7-e8
Be4-b1 Kb8-a7 d4-d5 c6xd5 Bb1-g6 Qf7-e6 Qg2xd5 Ne8-c7 Qd5xa5+ Ka7-b8 Bg6-c2
Rb6-d6 c3-c4 Qe6-g8 h6-h7 Qg8-g3 Rh4-h1 e7-e5 c4-c5) +3.15/25 8} Kxb8
{(Kc8xb8 g4xh5 Ng7xf5 Be4xf5 c6-c5 d4-d5 Ne6-g5 Bf5-d3 Qe8-d8 Bd3-c2 e7-e5
h5-h6 b7-b5 a4xb5 Bd7xb5 h6-h7 Bb5xc4 Rh4xc4 Qd8-b6 d5-d6 Qb6xd6 Re1-d1
Qd6-c6 Qg2-g1 a5-a4 Kc1-b1 Qc6-b6 Rd1-d7 a4-a3 b2-b4 Ng5xh7 Qg1-g7 Rh8-d8)
-3.09/22 1} 30. gxh5 {(g4xh5 Ng7xf5 Be4xf5 Ne6-g5 Bf5-d3 Kb8-a7 Qg2-f2
Qe8-f8 h5-h6 Rh8xh6 Rh4xh6 Qf8xh6 Re1xe7 Ng5-e4+ Qf2-e3 Qh6-h1+ Kc1-c2
Bd7-g4 d4-d5+ c6-c5 b2-b3 Qh1-g2+ Kc2-c1 Qg2-h1+ Kc1-b2 Qh1-g2+ Bd3-c2
f6-f5 Re7-g7 Qg2-h2 Rg7xg4 f5xg4 Qe3xe4 g4-g3) +3.35/26 8} Nxf5 {(Ng7xf5
Be4xf5 c6-c5 d4-d5 Ne6-g5 Bf5-d3 Qe8-d8 Bd3-c2 e7-e5 h5-h6 e5-e4 Bc2xe4
Bd7xa4 Be4-d3 Ba4-b3 Qg2-g3+ Kb8-a8 Nc4-d2 c5-c4 Nd2xb3 c4xd3 Qg3xd3 f6-f5
Rh4-h5 Ra6-d6 Re1-d1 a5-a4 Nb3-c5 Rh8xh6) -2.54/20 1} 31. Bxf5 {(Be4xf5
Ne6-g5 Bf5-d3 Bd7-e6 Qg2-g3+ Kb8-a8 Nc4-e5 Ra6-b6 Ne5-g6 Rh8-h7 h5-h6
Ka8-a7 Qg3-c7 Qe8-f7 Re1-e3 Be6-g4 c3-c4 e7-e6 Qc7xf7 Ng5xf7 Rh4xg4 Rh7xh6
Ng6-e7 Rh6-h1+ Kc1-c2) +3.51/22 2} c5 {(c6-c5) -2.99/26 12} 32. Rhe4
{(Rh4-e4 Rh8xh5 Bf5xe6 Bd7xe6 Re4xe6 Ra6xe6 Re1xe6 Qe8xa4 Nc4-a3 Qa4-d7
Qg2-e4 Rh5-h1+ Qe4xh1 Qd7xe6 Qh1-h2+ Kb8-c8 Na3-b5 Qe6-b6 Qh2-e2 c5xd4
Qe2-c4+ Kc8-d7 Qc4-d5+ Kd7-e8 Nb5xd4 e7-e5 Nd4-b3 Qb6-g1+ Kc1-c2) +3.71/23
2} Rxh5 {(Rh8xh5 Bf5xe6 Ra6xe6 Re4xe6 Bd7xe6 Re1xe6 Qe8xa4 Nc4-a3 Qa4-d7
Qg2-e4 Rh5-h1+ Qe4xh1 Qd7xe6 Qh1-h2+ Kb8-c8 Na3-b5 Qe6-b6 Qh2-h3+ Kc8-d8
Qh3-d3 c5xd4 Nb5xd4 e7-e5 Nd4-f5+ Kd8-c7 Nf5-e3 Qb6-c6 Kc1-b1 Qc6-h1+
Kb1-a2 Qh1-c6 Ne3-d5+ Kc7-d7 Nd5-b4+ Qc6-d6 Qd3-b5+ Kd7-e6 Qb5xa5 Qd6-d1
Qa5-c5 Ke6-f5) -3.04/24 1} 33. Bxe6 {(Bf5xe6 Ra6xe6 Re4xe6 Bd7xe6 Re1xe6
Qe8xa4 Nc4-a3 Qa4-d7 d4-d5 Rh5xd5 Qg2-e2 Rd5-h5 Kc1-b1 Rh5-h7 c3-c4 Kb8-c8
Kb1-a2 Rh7-h2 Qe2-e3 Kc8-d8 Re6-b6 Qd7-c7 Qe3-b3 Kd8-c8 Qb3-b5 Rh2-d2
Qb5xa5 Rd2-d6 Qa5-a8+ Qc7-b8 Qa8xb8+ Kc8xb8 Rb6xd6 e7xd6 Na3-b5 f6-f5
Nb5xd6) +4.24/26 2} Rxe6 {(Ra6xe6 Re4xe6 Bd7xe6 Re1xe6 Qe8xa4 Nc4-a3 c5xd4
Re6xe7 Qa4-c6 Qg2xc6 b7xc6 c3xd4 c6-c5 d4xc5 Rh5xc5+ Kc1-d2 Rc5-f5 Re7-e6
a5-a4 Na3-c4 Kb8-a7 Kd2-c3 Rf5-b5 Re6xf6 Rb5-b3+ Kc3-d4 Rb3-b5 Rf6-f4
Ka7-a6 Rf4-f3 Rb5-h5 Rf3-f6+ Ka6-a7 Rf6-f4 Rh5-b5 Rf4-f3 Ka7-a6 Rf3-h3
Rb5-g5) -3.39/26 2} 34. Rxe6 {(Re4xe6 Bd7xe6 Re1xe6 Qe8xa4 Nc4-a3 Qa4-d7
d4-d5 Rh5xd5 Qg2-e2 Rd5-h5 Kc1-b1 Rh5-h7 Kb1-a2 Kb8-c8 c3-c4 Rh7-h2 Qe2-g4
Rh2-h8 Qg4-e4 Rh8-h4 Qe4-e3 Kc8-d8 Qe3-e1 Rh4-h5 Re6-b6 Rh5-e5 Qe1xa5
Kd8-e8 Qa5-a8+ Qd7-d8 Qa8xb7 Ke8-f7 Qb7-c6 Re5-e1 Qc6xc5 Qd8-d1 Rb6-b8
Qd1-a1+ Ka2-b3 Qa1-d1+ Kb3-b4 Re1-e5 Qc5-c8 Qd1-d2+ Kb4-b3) +4.55/27 2}
Bxe6 {(Bd7xe6 Re1xe6 Qe8xa4 Nc4-a3 c5xd4 Re6xe7 Qa4-c6 Qg2xc6 b7xc6 c3xd4
c6-c5 d4xc5 Rh5xc5+ Kc1-d2 Rc5-f5 Re7-e6 a5-a4 Na3-c4 Kb8-a7 Kd2-c3 Rf5-b5
Re6xf6 Rb5-b3+ Kc3-c2 Rb3-b5 Rf6-f7+ Ka7-a6 Rf7-f8 Rb5-c5 Kc2-c3 Ka6-a7
Rf8-f7+ Ka7-a8) -3.37/23 0} 35. Rxe6 {(Re1xe6 Qe8xa4 Nc4-a3 Qa4-d7 d4-d5
Rh5xd5 Qg2-e2 Rd5-h5 Kc1-b1 Rh5-h7 c3-c4 Kb8-c8 Kb1-a2 Rh7-h2 Qe2-e3 Qd7-d4
Qe3-b3 Qd4-d7 Qb3-b6 a5-a4 Qb6xc5+ Kc8-d8 Re6-e1 Qd7-d6 Qc5-b5 Qd6-d2
Qb5xb7 Qd2xe1 Qb7-b8+ Kd8-d7 Qb8xh2 Qe1-b4 Qh2-g3 Qb4-c5 Qg3-g8 f6-f5
Na3-b5) +4.84/26 2} Qxa4 {(Qe8xa4 Nc4-a3 Qa4-d7 d4-d5 Rh5xd5 Qg2-e2 Rd5-h5
Kc1-b1 Rh5-h1+ Kb1-a2 Qd7-d5+ c3-c4 Qd5-d1 Qe2xd1 Rh1xd1 Re6xe7 f6-f5
Re7-f7 b7-b6 Ka2-b3 Rd1-d2 Na3-b5 f5-f4 Rf7xf4 Rd2-d3+ Kb3-a2 Rd3-d1 Rf4-f6
Kb8-b7 Rf6-f7+ Kb7-b8 Ka2-b3 Rd1-a1 Nb5-c3 Kb8-c8 Rf7-f4 Ra1-g1 Rf4-f6)
-3.45/25 1} 36. Na3 {(Nc4-a3 Qa4-d7 d4-d5 Rh5xd5 Qg2-e2 Rd5-h5 Kc1-b1
Rh5-h7 Kb1-a2 Kb8-c8 c3-c4 Rh7-h2 Qe2-g4 a5-a4 Na3-b5 a4-a3 Nb5xa3 Rh2-h8
Qg4-e4 Rh8-h4 Qe4-e3 Kc8-d8 Re6-b6 Kd8-e8 Qe3xc5 Ke8-f7 Qc5-b4 Rh4-e4
Rb6xb7 Qd7-c6 Qb4-b5 Qc6xb5 Na3xb5 Re4-e6 c4-c5 f6-f5 Nb5-d6+ Kf7-f6)
+5.03/29 6} cxd4 {(c5xd4 Re6xe7 Qa4-c6 Qg2xc6 b7xc6 c3xd4 c6-c5 d4xc5
Rh5xc5+ Kc1-d2 Rc5-f5 Re7-e6 Rf5-d5+ Kd2-c3 f6-f5 Re6-b6+ Kb8-a7 Rb6-f6
Ka7-b8 Kc3-c4 Rd5-d2 Kc4-b3 a5-a4+ Kb3-c3 Rd2-h2 Na3-c4 Kb8-c7 Kc3-b4
Rh2-h4) -3.65/27 4} 37. Rxe7 {(Re6xe7 Qa4-b3 Re7-e8+ Kb8-a7 Qg2-e4 Qb3-d5
Qe4xd4+ Qd5xd4 c3xd4 b7-b5 Re8-e7+ Ka7-b8 Re7-e6 a5-a4 Re6xf6 Kb8-a7 Kc1-c2
b5-b4 Na3-c4 Rh5-h2+ Kc2-d3 Rh2-h3+ Kd3-e4 a4-a3 b2xa3 b4xa3 Rf6-f5 Rh3-h4+
Ke4-d3) +5.62/25 3} Qc6 {(Qa4-c6 Qg2xc6 b7xc6 c3xd4 c6-c5 d4xc5 Rh5xc5+
Kc1-d2 Rc5-f5 Re7-e6 Kb8-a7 Kd2-c3 Rf5-f4 Na3-c4 a5-a4 Kc3-b4 a4-a3 Re6-e7+
Ka7-a6 b2xa3 Rf4-f1 Re7-e6+ Ka6-b7 a3-a4 f6-f5 Re6-b6+ Kb7-a8 Rb6-f6 f5-f4)
-3.71/24 0} 38. Qxc6 {(Qg2xc6 b7xc6 c3xd4 Rh5-d5 Na3-c2 Rd5-f5 Nc2-e3
Rf5-f4 Ne3-c4 Rf4xd4 Nc4xa5 Kb8-c8 Kc1-c2 Rd4-a4 Re7-a7 c6-c5 Kc2-b3 Ra4-f4
Ra7-f7 Rf4-b4+ Kb3-c3 Rb4-b6 Rf7-a7 Kc8-b8 Ra7-e7 Kb8-c8 Na5-c4 Rb6-a6
Nc4-e3 Kc8-d8 Re7-f7 Kd8-e8 Rf7-c7) +5.94/23 2} bxc6 {(b7xc6 c3xd4 Rh5-d5
Na3-c4 a5-a4 Re7-e4 c6-c5 d4xc5 Rd5xc5 Kc1-b1 Rc5-g5 Kb1-a2 f6-f5 Re4-e7
Rg5-g4 Nc4-e5 Rg4-g3 Re7-f7 Kb8-c8 Ne5-c4 f5-f4 Rf7xf4 Kc8-b8 Nc4-a3 Kb8-b7
Na3-b1 a4-a3 Nb1xa3 Rg3-h3 Rf4-f5 Rh3-h1) -3.80/24 1} 39. cxd4 {(c3xd4
Rh5-d5 Na3-c2 Kb8-c8 Re7-e6 Kc8-c7 Re6xf6 Rd5-h5 Kc1-d2 Rh5-h2+ Kd2-d3
Rh2-h3+ Kd3-c4 Rh3-h5 Nc2-a3 Rh5-h3 d4-d5 c6xd5+ Kc4xd5 Rh3-h5+ Kd5-c4
Rh5-h3 Kc4-d4 Rh3-b3 Na3-c4 Kc7-d7 Kd4-c5) +6.21/23 2} Rd5 {(Rh5-d5 Na3-c4
a5-a4 Re7-e4 c6-c5 d4xc5 Rd5xc5 Kc1-b1 Rc5-g5 Kb1-a2 f6-f5 Re4-e7 Rg5-g4
Nc4-e5 Rg4-g3 Re7-f7 Rg3-h3 Ne5-c6+ Kb8-c8 Nc6-d4 Kc8-b8 Nd4-b5 f5-f4
Rf7xf4 a4-a3 Nb5xa3 Kb8-a7 Na3-b5+ Ka7-a6 Nb5-c3 Rh3-h7 Ka2-a3 Rh7-h5
Ka3-a4 Ka6-a7 Rf4-f6 Ka7-b7) -3.92/25 4} 40. Nc2 {(Na3-c2 Rd5-h5 Re7-f7
f6-f5 Nc2-a3 Kb8-c8 Kc1-c2 Kc8-d8 Na3-c4 a5-a4 Kc2-c3 a4-a3 b2xa3 f5-f4
Nc4-e5 Kd8-e8 Rf7xf4 c6-c5 Ne5-d3 Ke8-e7 a3-a4 c5xd4+ Kc3-c4) +6.39/23 2}
c5 {(c6-c5 d4xc5 Rd5xc5 Kc1-b1 Kb8-c8 Re7-f7 Rc5-c6 Nc2-d4 Rc6-c4 Nd4-b5
Rc4-f4 Kb1-a2 Rf4-a4+ Nb5-a3 Ra4-b4 Rf7xf6 Kc8-b7 Na3-b1 Rb4-a4+ Ka2-b3
Ra4-b4+ Kb3-a3 Rb4-d4 Rf6-f5 Kb7-a6 Nb1-c3 Rd4-h4 Ka3-a2 Rh4-h1 Ka2-b3
Rh1-h3) -3.82/20 1} 41. dxc5 {(d4xc5 Rd5xc5 Re7-f7 Rc5-f5 Kc1-b1 Rf5-f4
Nc2-e3 Rf4-f3 Ne3-d5 f6-f5 Kb1-a2 Rf3-f2 Nd5-e3 f5-f4 Ne3-c4 Kb8-c8 Nc4xa5
Kc8-d8 Na5-c4 Kd8-e8 Nc4-d6+ Ke8-d8 Ka2-a3 f4-f3 b2-b4 Rf2-f1 Ka3-a4 f3-f2
Ka4-b5 Rf1-b1 Rf7xf2 Kd8-e7) +6.63/23 2} Rxc5 {(Rd5xc5 Kc1-b1 Rc5-c4 Nc2-e3
Rc4-d4 Re7-f7 Rd4-f4 Kb1-a2 Rf4-e4 Ne3-d5 Re4-d4 Nd5-c3 Rd4-f4 Ka2-a3 f6-f5
Nc3-d5 Rf4-f3+ Ka3-a2 Rf3-f2 Nd5-e7 Kb8-b7 Rf7xf5 Rf2-e2 Ne7-d5 Kb7-a6
Rf5-f6+ Ka6-a7 Ka2-b3 Re2-e4 Rf6-f7+ Ka7-a6 Rf7-f5 Ka6-b7 Nd5-c3) -3.83/24
1} 42. Rf7 {(Re7-f7 Rc5-f5 Kc1-b1 Rf5-f1+ Kb1-a2 Rf1-f4 Nc2-e3 Rf4-a4+
Ka2-b1 Ra4-h4 Rf7xf6 Kb8-a7 Kb1-a2 Rh4-d4 Ne3-c2 Rd4-h4 Nc2-a3 Ka7-b7
Na3-b5 Rh4-b4 Nb5-c3 Rb4-h4 Nc3-d5 Rh4-a4+ Ka2-b3 Ra4-d4 Nd5-c3 Rd4-h4
Rf6-f5) +6.81/26 4} Rf5 {(Rc5-f5 Kc1-b1 Rf5-f1+ Kb1-a2 Rf1-f4 Nc2-e3 Rf4-d4
Rf7xf6 Kb8-a7 Rf6-f5 Ka7-a6 Ne3-d5 Ka6-a7 Ka2-a3 Ka7-a6 Nd5-c3 Rd4-g4
Rf5-f6+ Ka6-b7 Nc3-d5 Rg4-h4 Ka3-b3 Rh4-e4 Kb3-a2 Re4-e1 Nd5-c3 Re1-h1
Nc3-b1 Rh1-h4 Nb1-d2 Kb7-a7 Ka2-a3 Rh4-h3+ Nd2-b3 Rh3-h5 Rf6-f4 Ka7-a6)
-3.92/25 2} 43. Kb1 {(Kc1-b1 Rf5-f1+ Kb1-a2 Rf1-f4 Nc2-e3 Rf4-a4+ Ka2-b1
Ra4-h4 Rf7xf6 Kb8-a7 Ne3-d5 Rh4-h5 Nd5-c3 Ka7-b7 Kb1-a2 Rh5-h4 Nc3-d5
Rh4-d4 Rf6-f5 Kb7-c6 Nd5-c3 Kc6-b6 Ka2-a3 Rd4-d3 Ka3-b3 Rd3-h3 Rf5-f6+
Kb6-c5 Rf6-a6 Rh3-f3 Ra6xa5+ Kc5-b6 Ra5-e5 Kb6-c6 Kb3-a2 Kc6-b6 Nc3-a4+
Kb6-a7 Re5-c5) +6.87/29 2} Rf4 {(Rf5-f4 Kb1-a2 Rf4-a4+ Ka2-b3 Ra4-f4 Nc2-a3
Rf4-b4+ Kb3-c3 Rb4-f4 Na3-c4 Rf4-f3+ Kc3-d4 Rf3-f5 Nc4-d6 Rf5-f2 Kd4-c3
Rf2-f3+ Kc3-c4 Rf3-f2 Kc4-b3 a5-a4+ Kb3-a3 Rf2-f4 Nd6-b5 Rf4-f3+ Ka3-a2
Rf3-f2 Nb5-c3 Rf2-f4 Ka2-a3 Rf4-f3) -4.09/25 6} 44. Ne3 {(Nc2-e3 Rf4-f3
Ne3-d5 Rf3-f5 Nd5-b6 Rf5-b5 Rf7xf6 Kb8-c7 Nb6-a4 Rb5-b4 Na4-c3 Rb4-h4
Kb1-a2 Rh4-h3 Ka2-a3 Rh3-h5 Nc3-a4 Rh5-h3+ Ka3-a2 Kc7-b7 b2-b3 Rh3-h5
Ka2-a3 Kb7-c7 Na4-b6 Rh5-h4 Nb6-c4 Rh4-h5 Rf6-a6 Rh5-h3 Nc4xa5) +6.95/28 5}
Re4 {(Rf4-e4 Ne3-d5 Re4-d4 Nd5-c3 Rd4-d6 Kb1-a2 Kb8-c8 Ka2-a3 Kc8-d8 Rf7-a7
Rd6-d3 Ra7xa5 Rd3-f3 Ka3-b4 Rf3-f2 Kb4-b3 Kd8-c7 Nc3-d5+ Kc7-c6 Nd5-b4+
Kc6-b6 Ra5-d5 f6-f5 Nb4-d3 Rf2-e2 Rd5xf5 Re2-e4 Kb3-c3 Re4-e3 b2-b3 Re3-e4
Nd3-e5 Re4-e3+ Kc3-c4 Re3-e4+ Kc4-d3) -4.37/26 9} 45. Nd5 {(Ne3-d5 Re4-e1+
Kb1-a2 Re1-e5 Nd5xf6 Kb8-c8 Ka2-a3 Kc8-d8 Rf7-a7 Re5-f5 Nf6-e4 Rf5-d5
Ne4-c3 Rd5-g5 Ka3-a4 Rg5-g2 b2-b3 Rg2-g4+ Ka4xa5 Rg4-g3 Ka5-b4 Rg3-g4+
Kb4-a3 Rg4-g1 Ra7-a5 Kd8-e7 b3-b4 Rg1-g3 Ra5-c5 Ke7-d6) +7.05/25 4} Rd4
{(Re4-d4 Nd5-c3) -4.57/26 5} 46. Nxf6 {(Nd5xf6 Kb8-c8 Rf7-a7 Rd4-d1+ Kb1-c2
Rd1-d6 Nf6-e4 Rd6-d5 Kc2-b3 Kc8-b8 Ra7-f7 Rd5-b5+ Kb3-a3 Rb5-d5 Ne4-c3
Rd5-c5 Ka3-a4 Rc5-h5 b2-b3 Rh5-h3 Nc3-d5 Kb8-c8 Nd5-b6+ Kc8-d8 Rf7-a7
Rh3-h2 Nb6-c4) +7.18/25 2} Ka8 {(Kb8-a8 Rf7-e7 Rd4-f4 Nf6-d5 Rf4-f5 Nd5-b6+
Ka8-b8 Re7-e5 Rf5-f1+ Kb1-a2 Kb8-b7 Nb6-c4 Rf1-f4 Re5-c5 Rf4-f3 Rc5-b5+
Kb7-c7 Rb5xa5 Kc7-b8 b2-b3 Rf3-f2+ Ka2-a3 Kb8-b7 Nc4-e5 Rf2-f1 Ra5-d5
Rf1-f4) -4.57/22 0} 47. Rd7 {(Rf7-d7 Rd4-h4 Kb1-a2 Ka8-b8 Nf6-d5 Rh4-h3
Nd5-b6 Rh3-f3 b2-b3 Rf3-f6 Nb6-d5 Rf6-e6 Ka2-a3 Kb8-c8 Rd7-a7 Kc8-d8 Ra7xa5
Kd8-d7 b3-b4 Re6-e1 Ra5-c5 Kd7-d6 Nd5-b6 Kd6-e7 b4-b5 Re1-h1 Nb6-c4 Rh1-a1+
Ka3-b3 Ra1-f1) +7.51/26 2} Rf4 {(Rd4-f4 Nf6-d5 Rf4-f2 Kb1-a2 Ka8-b8 Nd5-c3
Rf2-f3 Ka2-b3 Rf3-f2 Rd7-d5 Kb8-b7 Rd5xa5 Rf2-f4 Kb3-a2 Kb7-c6 Ka2-a3
Rf4-f3 Ra5-e5 Rf3-d3 Ka3-b4 Rd3-d4+ Kb4-b3 Kc6-b6 Re5-f5 Rd4-d3 Kb3-a2
Kb6-c7 Nc3-a4 Rd3-d7) -5.08/23 1} 48. Nd5 {(Nf6-d5 Rf4-f3 Nd5-b6+ Ka8-b8
Kb1-a2 Rf3-f4 Ka2-a3 Rf4-b4 Nb6-d5 Rb4-e4 b2-b3 Re4-e6 Ka3-a4 Kb8-c8
Rd7-c7+ Kc8-d8 Ka4xa5 Re6-e2 b3-b4 Re2-d2 Rc7-c5 Rd2-a2+ Ka5-b5 Kd8-d7
Nd5-b6+ Kd7-d6 Nb6-c4+ Kd6-e7 Kb5-c6 Ra2-h2 b4-b5 Ke7-e6) +7.92/25 3} Rf3
{(Rf4-f3 Kb1-a2 Ka8-b8 Nd5-c3 Kb8-c8 Rd7-d5 Kc8-b7 Rd5xa5 Kb7-c7 Ra5-b5
Kc7-c6 Ka2-b3 Rf3-f2 Kb3-a3 Rf2-c2 Rb5-a5 Kc6-b6 Ra5-f5 Kb6-a7 Nc3-a4
Rc2-c4 Rf5-c5 Rc4-d4 Rc5-a5+ Ka7-b7 Ra5-e5 Kb7-c6 Re5-f5 Kc6-d6 Rf5-c5
Rd4-f4 b2-b4 Rf4-f3+ Na4-c3 Rf3-f8 Nc3-b5+ Kd6-e7 Nb5-c3 Rf8-b8) -5.69/25
4} 49. Ka2 {(Kb1-a2 Ka8-b8 Nd5-b6 Rf3-g3 b2-b3 Rg3-g1 Rd7-f7 Rg1-h1 Nb6-c4
Rh1-h5 Ka2-a3 Kb8-c8 Ka3-a4 Kc8-d8 Nc4xa5 Kd8-e8 Rf7-a7 Rh5-h1 b3-b4 Rh1-h4
Ra7-c7 Ke8-d8 Rc7-f7 Kd8-e8 Rf7-a7 Rh4-g4 Ka4-b3 Rg4-g3+ Kb3-c4) +8.03/26
3} Rh3 {(Rf3-h3 Nd5-c3 Rh3-h2 Ka2-b3 Rh2-h4 Kb3-a3 Ka8-b8 Rd7-d5 Kb8-c7
Rd5xa5 Kc7-d6 Ra5-f5 Rh4-c4 Ka3-b3 Rc4-g4 Nc3-a4 Rg4-h4 Rf5-f6+ Kd6-d5
Na4-c3+ Kd5-e5 Rf6-c6 Rh4-h8 Kb3-c4 Rh8-h2 b2-b4 Rh2-h8 b4-b5 Rh8-b8)
-5.86/24 3} 50. Nb6+ {(Nd5-b6+ Ka8-b8 b2-b3) +8.45/27 7} Kb8 {(Ka8-b8
Nb6-a4 Kb8-c8 Rd7-d5 Kc8-c7 Rd5xa5 Kc7-c6 Na4-c3 Kc6-b6 Ra5-e5 Kb6-c7
Ka2-b3 Kc7-c6 Kb3-b4 Rh3-h4+ Kb4-a5 Rh4-h7 Re5-b5 Rh7-a7+ Ka5-b4 Ra7-f7
Rb5-e5 Kc6-d7 Nc3-a4 Rf7-f8 Re5-d5+ Kd7-c8 Kb4-b3 Rf8-f4 Rd5-b5 Rf4-d4)
-5.84/20 0} 51. b3 {(b2-b3 Rh3-h6 Nb6-c4) +8.59/24 3} Rh6 {(Rh3-h6 Nb6-a4
Rh6-h5 Ka2-a3 Rh5-h1 Rd7-d5 Rh1-a1+ Ka3-b2 Ra1-f1 Rd5xa5 Kb8-b7 Kb2-a3
Kb7-c6 Ra5-c5+ Kc6-b7 Rc5-b5+ Kb7-c7 Ka3-b4 Rf1-f4+ Kb4-a5 Rf4-f8 Rb5-c5+
Kc7-b8 Rc5-c6 Rf8-d8 Na4-c5 Kb8-a7 b3-b4 Rd8-d5 Rc6-f6 Rd5-d8 Rf6-a6+
Ka7-b8 Ra6-e6 Kb8-a8) -6.12/23 3} 52. Nc4 {(Nb6-c4 Kb8-c8 Rd7-a7 Kc8-b8
Ra7xa5 Rh6-c6 Ka2-a3 Kb8-c7 Ra5-d5 Rc6-f6 b3-b4 Rf6-f4 Rd5-c5+ Kc7-d8
Ka3-a4 Rf4-f1 b4-b5 Rf1-b1 b5-b6 Kd8-d7 Rc5-c7+ Kd7-e6 b6-b7 Ke6-d5 Nc4-a5
Kd5-d6 Rc7-c8 Kd6-d7 Rc8-a8) +9.19/24 2} a4 {(a5-a4 b3xa4 Rh6-h3 Rd7-e7
Rh3-c3 Nc4-a5 Kb8-c8 Na5-b3 Rc3-c6 Ka2-a3 Rc6-c4 Nb3-a5 Rc4-f4 Ka3-b3
Kc8-d8 Na5-c6+ Kd8-c8 Nc6-e5 Rf4-f1 Kb3-b4 Kc8-b8 Ne5-c6+ Kb8-c8 Kb4-a5
Rf1-c1 Nc6-a7+ Kc8-d8 Re7-b7 Kd8-e8 Ka5-a6 Rc1-c4) -4.97/23 2} 53. bxa4
{(b3xa4 Kb8-c8 Rd7-a7 Rh6-h3 Ka2-b2 Rh3-h5 a4-a5 Kc8-b8 Ra7-f7 Rh5-h6
Kb2-c3 Kb8-c8 Kc3-b4 Kc8-d8 Kb4-b5 Kd8-e8 Rf7-b7 Rh6-h5+ Kb5-c6 Rh5-h6+
Nc4-d6+ Ke8-f8 a5-a6 Rh6-h1 a6-a7 Rh1-a1 Kc6-c5 Kf8-g8 Nd6-c4 Kg8-h8)
+10.16/23 2} Rh3 {(Rh6-h3 Rd7-e7 Rh3-c3 Nc4-a5 Kb8-c8 Na5-b3 Rc3-c6 Ka2-a3
Rc6-c4 Re7-e5 Rc4-h4 Nb3-c5 Rh4-c4 Ka3-b3 Rc4-h4 Re5-e8+ Kc8-c7 Re8-e4
Rh4-h1 Kb3-b4 Kc7-b6 Re4-e6+ Kb6-a7 Kb4-b5 Rh1-b1+ Kb5-a5 Rb1-d1 Re6-e7+
Ka7-b8 Ka5-a6 Rd1-d6+ Ka6-b5 Rd6-d5 Re7-e6 Rd5-d1 Re6-e5 Rd1-b1+ Kb5-a5
Rb1-f1 Re5-e7) -5.15/24 1} 54. Kb2 {(Ka2-b2 Kb8-c8 Rd7-f7 Kc8-b8 a4-a5
Kb8-a8 Rf7-d7 Rh3-g3 Nc4-b6+ Ka8-b8 Nb6-d5 Rg3-g6 Kb2-b3 Rg6-h6 Rd7-f7
Kb8-c8 Kb3-b4 Kc8-d8 Nd5-b6 Rh6-h4+ Nb6-c4 Kd8-e8 Rf7-b7 Rh4-h5 Nc4-d6+
Ke8-d8 a5-a6 Rh5-h4+ Nd6-c4 Rh4-h1 a6-a7 Rh1-b1+ Kb4-c5 Rb1-a1 Kc5-b6
Kd8-e8 Kb6-b5) +10.54/25 1} Ka8 {(Kb8-a8 a4-a5) -218.68/22 7} 55. a5
{(a4-a5 Rh3-g3 Nc4-b6+ Ka8-b8 Nb6-d5 Rg3-g6 Kb2-b3 Rg6-h6 Kb3-c4 Kb8-c8
Rd7-a7 Kc8-d8 a5-a6 Rh6-h4+ Kc4-c5 Rh4-h1 Ra7-b7 Rh1-c1+ Kc5-d6 Kd8-e8
a6-a7 Rc1-a1 Rb7-b8+ Ke8-f7 a7-a8Q Ra1xa8 Rb8xa8 Kf7-g6 Kd6-e6 Kg6-h5
Ra8-a4 Kh5-g6 Ra4-c4 Kg6-g5 Rc4-d4) +11.75/24 1} Rf3 {(Rh3-f3 Kb2-c2 Rf3-f8
Nc4-b6+ Ka8-b8 a5-a6 Rf8-f2+ Kc2-c3 Rf2-f3+ Kc3-d4 Rf3-d3+ Kd4-c5 Rd3-c3+
Nb6-c4 Rc3-c1 Rd7-f7 Kb8-a8 Rf7-c7 Ka8-b8 Rc7-e7 Rc1-b1 Nc4-d6 Rb1-a1
Re7-b7+ Kb8-a8 Rb7-d7 Ka8-b8 Kc5-b6 Ra1-b1+ Nd6-b5 Kb8-c8 Rd7-c7+ Kc8-d8
a6-a7 Rb1-a1 Kb6-b7 Kd8-e8 Nb5-d6+ Ke8-f8 Rc7-d7 Ra1-b1+ Kb7-a6 Rb1-a1+
Ka6-b6 Ra1-b1+ Kb6-c5 Rb1-a1 Nd6-c4 Ra1-a2 Kc5-b6 Ra2-a4 Rd7-b7 Ra4-a2
Nc4-a5 Ra2-b2+ Kb6-a6 Rb2-e2 a7-a8Q+ Re2-e8 Rb7-b8 Re8xb8 Qa8xb8+ Kf8-f7
Ka6-b6 Kf7-g6 Qb8-f4 Kg6-h7 Qf4-g3 Kh7-h8 Kb6-c6) -265.22/19 1} 56. a6
{(a5-a6 Rf3-f6 Nc4-d6 Ka8-b8 Kb2-a3 Rf6-f1 Ka3-a4 Rf1-h1 Ka4-b5 Rh1-h2
Kb5-b6 Rh2-b2+ Nd6-b5 Kb8-c8 Rd7-d5 Rb2-b1 a6-a7 Rb1-a1 Nb5-d6+ Kc8-d7
Nd6-c4+ Kd7-e6 Rd5-a5 Ra1-b1+ Kb6-c6 Rb1-b4 Kc6-c5 Rb4xc4+ Kc5xc4)
+15.53/22 1} Rf6 {(Rf3-f6 Nc4-d6 Ka8-b8 Kb2-b3 Rf6-f1 Rd7-b7+ Kb8-a8 Rb7-e7
Rf1-f8 Kb3-a4 Ka8-b8 Re7-b7+ Kb8-a8 Rb7-d7 Ka8-b8 Ka4-a5 Rf8-h8 Rd7-b7+
Kb8-a8 Rb7-e7 Ka8-b8 Ka5-b6 Rh8-g8 Re7-e8+ Rg8xe8 Nd6xe8 Kb8-c8 Ne8-c7
Kc8-d8 Kb6-c6 Kd8-e7 Nc7-b5 Ke7-f6 a6-a7 Kf6-f7 a7-a8Q Kf7-f6 Qa8-g8 Kf6-f5
Qg8-g2 Kf5-f6 Qg2-e4 Kf6-f7 Qe4-f5+ Kf7-g8) -265.22/18 1} 57. Nd6 {(Nc4-d6
Ka8-b8 Kb2-a3 Rf6-g6 Ka3-b4 Rg6-g1 Kb4-a5 Rg1-a1+ Ka5-b6 Ra1-b1+ Nd6-b5
Kb8-c8 Rd7-d6 Rb1-b4 Rd6-d5 Rb4-b2 a6-a7 Rb2-a2 Nb5-d6+ Kc8-d8 Nd6-b7+
Kd8-e8 Nb7-a5 Ra2-b2+ Kb6-a6 Rb2-b1 a7-a8Q+ Ke8-f7) +16.98/22 1} Kb8
{(Ka8-b8 Kb2-b3 Rf6-h6 Kb3-b4 Rh6-f6 Kb4-a5 Rf6-f1 Rd7-b7+ Kb8-a8 Rb7-f7
Rf1xf7 Nd6xf7 Ka8-b8 Ka5-b6 Kb8-c8 Kb6-c5 Kc8-d7 a6-a7 Kd7-e6 a7-a8Q Ke6-f5
Kc5-b5 Kf5-g6 Qa8-f3 Kg6-h7 Kb5-b6) -265.20/18 0} 58. Kc3 {(Kb2-c3 Rf6-h6
Kc3-b4 Rh6-h1 Rd7-b7+ Kb8-a8 Rb7-f7 Rh1-h6 Kb4-c5 Ka8-b8 Rf7-b7+ Kb8-a8
Rb7-d7 Ka8-b8 Kc5-b6 Rh6-h8 Rd7-b7+ Kb8-a8 Rb7-a7+ Ka8-b8 Ra7-f7 Rh8-g8
Kb6-a5 Rg8-g1 Rf7-b7+ Kb8-a8 Rb7-c7 Rg1-g8 Nd6-b5 Rg8-f8 Rc7-a7+ Ka8-b8
Ra7-b7+ Kb8-c8 Rb7-c7+ Kc8-b8 a6-a7+ Kb8-a8 Rc7-c6) +24.38/24 3} Rf1
{(Rf6-f1 Nd6-b5 Kb8-c8 Rd7-c7+ Kc8-d8 a6-a7 Rf1-a1 Kc3-b4 Ra1-a6 Rc7-b7
Kd8-c8 Nb5-d6+ Kc8-d8 Nd6-c4 Kd8-e8 Nc4-b6 Ke8-f8 a7-a8Q+ Ra6xa8 Nb6xa8
Kf8-g8 Na8-b6 Kg8-f8 Kb4-c5 Kf8-g8 Kc5-d6 Kg8-h8 Kd6-e6 Kh8-g8 Ke6-f6
Kg8-h8 Kf6-g6 Kh8-g8 Rb7-b8+) -M17/24 7 Black resigns} *[/pgn]

Chessqueen · Post by **Chessqueen** » Mon Aug 15, 2022 12:30 am

For this game I took the same asymmetrical position which give White a small edge, but because I decided to give Black the first move just to prove my point, it average out at the end

[fen]rbbnknqr/pppppppp/8/8/8/8/PPPPPPPP/RBBNKQNR b KQkq - 0 1 [/fen]

[Event "Computer chess game"]
[Site "DESKTOP-OFQ3C0P"]
[Date "2022.08.14"]
[Round "?"]
[White "Berserk-9-x64-avx2-pext"]
[Black " Dragon 2.6.1"]
[Result "1/2-1/2"]
[BlackElo "3640"]
[Time "16:43:26"]
[WhiteElo "3490"]
[TimeControl "180+3"]
[SetUp "1"]
[FEN "rbbnknqr/pppppppp/8/8/8/8/PPPPPPPP/RBBNKQNR w KQkq - 0 1"]
[Termination "normal"]
[PlyCount "116"]
[WhiteType "program"]
[BlackType "program"]

1. ... d5 2. d4 f5 3. c3 c6 4. f3 Ng6 5. f4 Nf7 6. g3 Bc7 7. Nf2 Nd6 8. Nd3
Be6 9. Nf3 Ne4 10. Be3 O-O-O 11. Kd1 h6 12. Kc2 Nf8 13. Qc1 Nd7 14. b3 Ba5
15. b4 Bc7 16. a4 Nb6 17. Nc5 Bf7 18. Ba2 Nd6 19. a5 Nbc4 20. Ne5 a6 21. h4
Kb8 22. Rg1 Bh5 23. Bf2 Bxe2 24. Re1 Bh5 25. Bxc4 Nxc4 26. Nxc4 dxc4 27.
Ne6 Bf3 28. Kb2 Bd5 29. Nxc7 Kxc7 30. Rxe7+ Kc8 31. Qd2 h5 32. Qe3 Be4 33.
Re5 Rd5 34. Bg1 Qf7 35. Qe2 Rb5 36. Rd1 Rd8 37. Kc1 g6 38. Re1 Rd7 39. Bf2
Rd8 40. Rd1 Rd7 41. Bg1 Rd8 42. Bf2 Rd7 43. Kb2 Rd8 44. Rd2 Rd7 45. Kc1 Rd8
46. Qe3 Rbd5 47. Qe2 Rb5 48. Qe3 Rbd5 49. Qe1 Rb5 50. Be3 Re8 51. Bg1 Kd7
52. d5 Rxd5 53. Rdxd5+ cxd5 54. Rxe8 Qxe8 55. Qe3 Qh8 56. Qd4 Qxd4 57. Bxd4
Kc6 58. Kd2 Kb5 59. Ke3 Bh1 60. Bb6 Ka4 61. Kd4 Kb3 62. Bd8 Kc2 63. Bf6 Be4
64. Kc5 d4 65. Bxd4 Kd3 66. b5 axb5 67. Kxb5 Bd5 68. Be5 Bc6+ 69. Kb6 Bf3
70. Bd4 Bd5 71. Bf6 Bf3 72. Kc5 Be4 73. Bd4 Bf3 74. Kd6 Ke2 75. Ke7 Kd3 76.
Kf6 Bg4 77. Kxg6 Ke2 78. Kg5 Kf3 79. Bc5 Kxg3 80. Bb6 Kf3 81. Bd4 Ke2 82.
Bf6 Ke3 83. Be5 Kd3 84. Bd4 Ke4 85. Bf6 Kd3 86. Bd4 Ke4 87. Be5 Kd3 88. Bf6
Ke4 89. Be7 Bf3 90. Bd6 Bg4 91. Bc5 Bd1 92. Bb4 Be2 93. Be7 Bf3 94. Bc5 Bg4
95. Bd6 Kf3 96. Be5 Ke4 97. Kg6 Kd3 98. Kf6 Ke3 99. Kg6 Kd3 100. Bd4 Ke4
101. Kg5 Kd3 102. Kf6 Ke4 103. Kg5 Kd3 104. Bg7 Ke2 105. Bf6 Kd3 106. Be5
Ke4 107. Kh6 Bf3 108. Bd6 Kd3 109. Be5 Bg4 110. Kg7 Ke4 111. Kf6 Ke3 112.
Bd6 Kd3 113. Bb4 Ke4 114. Bd6 Bh3 115. Be5 Bg4 116. Bd6 Kd3 117. Bb4 Ke4
118. Kg5 Kd3 119. Kh6 Ke4 120. Bd6 Kd3 121. Bb4 Bd1 122. Kg5 Bg4 123. Kg6
Ke4 124. Bd6 Kd3 125. Bb4 Ke3 126. Kg5 Kd3 {3-fold repetition} 1/2-1/2

lkaufman · Post by **lkaufman** » Mon Aug 15, 2022 1:37 am

pohl4711 wrote: ↑Sun Aug 14, 2022 12:02 pm
lkaufman wrote: ↑Sat Aug 13, 2022 11:50 pm
Chessqueen wrote: ↑Sat Aug 13, 2022 10:45 pm
I realized that engines that are at level near to 3500 with the standard Chess position when they start with the White pieces are only losing 30% of the times. We are reaching the point in the near future once engines reach 3800 level with symmetrical positions they will no longer lose a single game of chess. https://tcec-chess.com/
Probably we're already there, with long enough time limits and large enough core counts, with the top engines.
And that is the reason, why there is no alternative to UHO-openings (perhaps except my other AntiDraw-openings), as suggested in the dkappe-UHO-troll-Thread here on talkchess. Blaming UHO openings "ugly" means (by the way) blaming strong human players, IMs, GMs, SuperGMs playing ugly chess, because UHO V3, UHO 2021 and UHO 2022 - openings contain human played openings out of the Megabase, only, both players stronger than 2300 Elo).

https://www.sp-cc.de/uho_2022.htm

https://www.sp-cc.de/anti-draw-openings.htm
(This openings-sets collection contains 6 different openings concepts:
Drawkiller V5, No Black Short Castling V2 (NBSC), No Black Castling V2 (NBC), White One More Pawn V1 (WOMP), White One More Move V1 (WOMM) and Unbalanced Human Openings V3 (UHO). ) - So, a lot of interesting alternatives to UHO can be found here!

I am very much a fan of your opening sets, especially UHO V3, and we do indeed use it for testing Komodo Dragon. Even chess324 won't do as good a job of magnifying rating differences as this opening set. But chess324 is more suitable for actual human competition, especially including correspondence chess, because it doesn't involve arbitrary choices of which openings qualify or which engine evaluates them and doesn't require knowing anything other than the simple rules to play the game. As for engine vs engine competitions like CCC or TCEC, both UHO and chess324 have their place; both will produce enough decisive results at any level, it's just a question of whether one prefers to scramble the pieces or to stipulate specific openings.

lkaufman · Post by **lkaufman** » Mon Aug 15, 2022 1:49 am

frcha wrote: ↑Sun Aug 14, 2022 4:10 pm
Shuffle chess variants have always been fascinating but I think many have overlooked the original intention of Fischer Random which is to completely remove or at least seriously hamper opening preparation.

Thus draw percentages is not the concern, neither is even white advantage.

Clearly mimimizing opening preparation, especially in this era of computer analysis, is indeed the main motivation for FRC/960. However reducing draws is at least a secondary goal/side benefit. I would agree that with chess 960 the draw percentage in human play, even at top level, won't be excessive (say over 60%) (assuming at least that no draws by agreement are allowed before move 40 or so, as is often the rule in modern tournaments). However this overlooks correspondence play, which due to the use of engines will still be hopelessly drawish even with chess 960, probably 98 or 99% games drawn excluding players who play worse using engines than their own engines or who have very poor hardware. Chess 324 has the real potential to make correspondence chess a viable game again.

lkaufman · Post by **lkaufman** » Mon Aug 15, 2022 2:19 am

Lazy_Frank wrote: ↑Sun Aug 14, 2022 7:36 am
lkaufman wrote: ↑Fri Aug 12, 2022 5:34 pm
Lazy_Frank wrote: ↑Fri Aug 12, 2022 7:24 am Sounds very promising.
Thanks, Larry, definitive this chess variant need to be given a chance.

Speaking of double Fisher random chess (DFRC).

It is very rich in openings count, its also do not request book to differentiate engines.
Main problem is many DFRC openings exceeds the draw range.
I am currently try to clear DFRC from "busted" openings.
chess324 is a subset of DFRC, but has no positions clearly beyond the draw range, and doesn't require the special rules of castling. For some purposes there may be a need for more than the 648 game matches possible with chess324, so there may still be a reason to continue to explore DFRC, but for the vast majority of uses 648 games should be enough between two particular opponents.
I did re-scoring of all 324-chess positions.
Results here:

Thanks. It seems I wasn't quite correct in my judgment that none of the 324 positions would be more favorable for White than the Grob is for Black; it seems that four of the 324 are more favorable for White than 1.g4 is for Black, with another two roughly equivalent to the Grob. I had the right idea that positions with White bishops on b1 and c1 would probably be the best, but perhaps I failed to find the worst setup for Black. So most likely four of the 324 positions are theoretically losing for Black with perfect play, but not by much, so I think the full set remains perfectly viable for engine testing/competition, and certainly for human play. One could always discard those four positions, leaving 320, though this would detract from the elegance of the idea. Anyway, Stockfish could be wrong, or the Grob could be not quite losing. What seems pretty clear is that Stockfish evals below 2.00 in the opening are in general probably not losing; even dividing the evals by 2 seems to overstate the truth. Surely the Grob, bad as it is, isn't quite as bad as just being down an average pawn for nothing, and the SF eval is beyond 2 pawns!

Lazy_Frank · Post by **Lazy_Frank** » Mon Aug 15, 2022 8:00 am

lkaufman wrote: ↑Mon Aug 15, 2022 2:19 am
Lazy_Frank wrote: ↑Sun Aug 14, 2022 7:36 am
lkaufman wrote: ↑Fri Aug 12, 2022 5:34 pm
Lazy_Frank wrote: ↑Fri Aug 12, 2022 7:24 am Sounds very promising.
Thanks, Larry, definitive this chess variant need to be given a chance.

Speaking of double Fisher random chess (DFRC).

It is very rich in openings count, its also do not request book to differentiate engines.
Main problem is many DFRC openings exceeds the draw range.
I am currently try to clear DFRC from "busted" openings.
chess324 is a subset of DFRC, but has no positions clearly beyond the draw range, and doesn't require the special rules of castling. For some purposes there may be a need for more than the 648 game matches possible with chess324, so there may still be a reason to continue to explore DFRC, but for the vast majority of uses 648 games should be enough between two particular opponents.
I did re-scoring of all 324-chess positions.
Results here:
Thanks. It seems I wasn't quite correct in my judgment that none of the 324 positions would be more favorable for White than the Grob is for Black; it seems that four of the 324 are more favorable for White than 1.g4 is for Black, with another two roughly equivalent to the Grob. I had the right idea that positions with White bishops on b1 and c1 would probably be the best, but perhaps I failed to find the worst setup for Black. So most likely four of the 324 positions are theoretically losing for Black with perfect play, but not by much, so I think the full set remains perfectly viable for engine testing/competition, and certainly for human play. One could always discard those four positions, leaving 320, though this would detract from the elegance of the idea. Anyway, Stockfish could be wrong, or the Grob could be not quite losing. What seems pretty clear is that Stockfish evals below 2.00 in the opening are in general probably not losing; even dividing the evals by 2 seems to overstate the truth. Surely the Grob, bad as it is, isn't quite as bad as just being down an average pawn for nothing, and the SF eval is beyond 2 pawns!

You're welcome!
Keep the full set of this chess variant is quite a good idea (even there is some openings that favors white heavily), in case opening is busted engine should prove that in game play. We anyway waste the time and electricity

...
22/324 (which is very high number) openings have high interest in game outcome result.
P.S. Grob isn't only about pawn losing for nothing, Grob also compromises the white king safety (main reason why Grob is losing).

Chessqueen · Post by **Chessqueen** » Mon Aug 15, 2022 9:13 am

When will the CRRL start testing on chess324?

Wolfgang · Post by **Wolfgang** » Mon Aug 15, 2022 9:28 am

Never

Ajedrecista · Post by **Ajedrecista** » Mon Aug 15, 2022 2:10 pm

Hello Michel:

Michel wrote: ↑Sat Aug 13, 2022 8:13 am The bishop constellations can be further factored as 3*2 (own color vs opposite color). So we can assign a code [0-2][0-1][0-2] which can be converted to a number if required.

I do not understand your further factoring of 'own colour vs. opposite colour'. Can you explain it, please? Thank you.

hgm wrote: ↑Sat Aug 13, 2022 8:06 am If there is a need for assigning numbers to the positions, I would recommend to use the same system as in Chess960. Where you first number the Bishop constellations 0-5, and then add 6 times the relative Queen location (0-2) on the remaining open squares. This can be done for white and black seeparately, and then you can take 18*white + black.

Advantage is that the position is easily reconstructable from the number. With alphabetical ordering of the FENs you might need the whole list for that.

OTOH, I understand HGM idea and was thinking exactly the same. Something like:

Code: Select all

Bishop constellations (B for white pair of bishops and b for black pair of bishops):
0: b+c files.
1: b+g files.
2: c+d files.
3: c+f files.
4: d+g files.
5: f+g files.

------------

Queen (Q for the white queen and q for the black queen):
0: the leftmost possible square (from white POV).
2: the rightmost possible square (from white POV).
1: the remaining square which is neither 0 nor 2 with this code.

------------

Encoding:
N = 18*(3*B + Q) + 3*b + q
0 =< N <= 323

------------

Decoding:
floor(N/18) --> for the subset of 'B' and 'Q'.
N mod 18    --> for the subset of 'b' and 'q'.

B = floor{[floor(N/18)]/3}
Q = [floor(N/18)] mod 3
b = floor[(N mod 18)/3]
q = (N mod 18) mod 3

Hence getting N = 190 for the standard position.

Other less intuitive encoding could be assign b=1, c=2, ..., g=5 (or b=0, c=1, ..., g=4) and sum the files of the bishops to get the bishop constellations, because each sum is unique:

Code: Select all

b+c = 1+2 = 3 (alternative: 0+1 = 1).
b+g = 1+6 = 7 (alternative: 0+5 = 5).
c+d = 2+3 = 5 (alternative: 1+2 = 3).
c+f = 2+4 = 6 (alternative: 1+3 = 4).
d+g = 3+5 = 8 (alternative: 2+4 = 6).
f+g = 4+5 = 9 (alternative: 3+4 = 7).

Then going directly for a second number ({1, 2, 3} or {0, 1, 2}) to indicate the queen position, then repeating for black. Something like 6262 (or 5151) for the standard position, which might be more human readable. The same can be tried with the original encoding of bishop constellations, getting 3131 (using {0, 1, 2} for queens) for the standard position.

Corrections are welcome.

Regards from Spain.

Ajedrecista.

lkaufman · Post by **lkaufman** » Mon Aug 15, 2022 5:26 pm

Lazy_Frank wrote: ↑Mon Aug 15, 2022 8:00 am
lkaufman wrote: ↑Mon Aug 15, 2022 2:19 am
Lazy_Frank wrote: ↑Sun Aug 14, 2022 7:36 am
lkaufman wrote: ↑Fri Aug 12, 2022 5:34 pm
Lazy_Frank wrote: ↑Fri Aug 12, 2022 7:24 am Sounds very promising.
Thanks, Larry, definitive this chess variant need to be given a chance.

Speaking of double Fisher random chess (DFRC).

It is very rich in openings count, its also do not request book to differentiate engines.
Main problem is many DFRC openings exceeds the draw range.
I am currently try to clear DFRC from "busted" openings.
chess324 is a subset of DFRC, but has no positions clearly beyond the draw range, and doesn't require the special rules of castling. For some purposes there may be a need for more than the 648 game matches possible with chess324, so there may still be a reason to continue to explore DFRC, but for the vast majority of uses 648 games should be enough between two particular opponents.
I did re-scoring of all 324-chess positions.
Results here:
Thanks. It seems I wasn't quite correct in my judgment that none of the 324 positions would be more favorable for White than the Grob is for Black; it seems that four of the 324 are more favorable for White than 1.g4 is for Black, with another two roughly equivalent to the Grob. I had the right idea that positions with White bishops on b1 and c1 would probably be the best, but perhaps I failed to find the worst setup for Black. So most likely four of the 324 positions are theoretically losing for Black with perfect play, but not by much, so I think the full set remains perfectly viable for engine testing/competition, and certainly for human play. One could always discard those four positions, leaving 320, though this would detract from the elegance of the idea. Anyway, Stockfish could be wrong, or the Grob could be not quite losing. What seems pretty clear is that Stockfish evals below 2.00 in the opening are in general probably not losing; even dividing the evals by 2 seems to overstate the truth. Surely the Grob, bad as it is, isn't quite as bad as just being down an average pawn for nothing, and the SF eval is beyond 2 pawns!
You're welcome!
Keep the full set of this chess variant is quite a good idea (even there is some openings that favors white heavily), in case opening is busted engine should prove that in game play. We anyway waste the time and electricity ...
22/324 (which is very high number) openings have high interest in game outcome result.
P.S. Grob isn't only about pawn losing for nothing, Grob also compromises the white king safety (main reason why Grob is losing).

Where does the number 22/324 come from?
Regarding the Grob, of course it is mostly about compromised king. My point is that it is obviously much better to have the pawn on g4 than not to have it at all!

Chess324

Re: Chess324

Re: Chess324

Re: Chess324

Re: Chess324

Re: Chess324

Re: Chess324

When will the CRRL start testing on chess324?

Re: When will the CRRL start testing on chess324?

Re: Chess324.

Re: Chess324