Arpad Rusz wrote:Try to solve this study:
Á.Rusz, Magyar Sakkvilág, 2010, 3rd Pr. (version)
[d]8/2P3PR/8/2RB1r2/7p/8/p6r/k1K5 w - - 0 1
White wins
Here's the solution:
After
1. Bc4! Rff2! (1... Rxc5 2. g8=Q +-)
2. Rxh4! Rxh4 (2... Rc2+ 3. Kd1 Rhd2+ 4. Ke1 Rg2 5.Bf1! Rxc5 6. Bxg2 Kb2 7. Ra4 +-)
3. Bb3 the following position is reached:
[d]8/2P3P1/8/2R5/7r/1B6/p4r2/k1K5 b - - 0 3
We have three lines starting from here (A, B, C):
A. (My main line)
3...Rhh2 4. Ra5!! (4. g8=Q? Rb2 5. Qg7 Rh1+ 6. Bd1 Rhh2 7. Bb3
(7. c8=Q Rhc2+ 8. Rxc2 stalemate) 7... Rh1+ 8. Bd1 Rhh2 positional draw)
4... Rh1+ 5. Bd1 Rh4! 6. Rxa2+! Rxa2
[d]8/2P3P1/8/8/7r/8/r7/k1KB4 w - - 0 7
7. c8=R! Phoenix (7. c8=Q? Rc4+! 8. Qxc4 Rc2+ 9. Kxc2 stalemate)
7... Rh3! (7... Rb4 8. Bc2 +-)
8. g8=R! Phoenix +- (8. g8=Q? Rc3+! 9. Rxc3 Rc2+! 10. Kxc2 stalemate)
B. (The computer's main line)
3... Rb2 4. Ra5! Rh1+ (4...Rhh2 5. Rxa2+! +-)
5. Bd1 Rb1+ 6. Kc2 Rh2+ 7. Kc3 Rg2 (7... Rc1+ 8. Kb4 Rg2 9. Rc5 Rxc5 10. Kxc5 Kb1 11. c8=Q a1=Q 12. Qf5+ Kc1 (12... Kb2 13.Qe5+ Kb1 14. Qe4+ +-) 13. Qf4+ Rd2 14. Qc4+ Kxd1 15.Qf1+ +-)
8. Rc5 Rg3+ 9. Kd2 (9. Kd4? Rb4+! 10. Kd5 Rg5+ 11. Kc6 Rg6+ 12. Kd5 Rg5+ perpetual check)
9... Rb2+ 10. Bc2 Rxg7 (10...Rg2+ 11. Ke3 Rxg7 12. c8=Q +-)
11. c8=Q Rg2+ 12. Kd3 Rgxc2
[d]2Q5/8/8/2R5/8/3K4/prr5/k7 w - - 0 13
13. Rc3! (13.Rxc2? Rxc2 14. Kxc2/Qxc2 stalemate)
13... Rxc3+ (13...Rd2+ 14. Kc4 Kb1 15. Qf5+ +-)
14. Qxc3 Kb1 15. Qe1#
C. (An additional line)
3... Rh1+ 4. Bd1 Rh4 5.Rc2! (5. g8=Q? Rc4+! 6. Rxc4 Rc2+ 7. Kxc2 stalemate)
5... Rc4 6. g8=Q Rcxc2+ 7. Bxc2 Rxc2+ 8. Kd1 Rxc7 9. Qh8+ Kb1 10. Qb8+ +-
Of course the first main line was the reason for composing this study (showing a double Rook Phoenix: two Rooks are sacrificed but later they both "reborn" by minor promotion).
The second main line is also valuable (it was discovered during composition by computer analysis). Of course no engine would choose the suboptimal 13...Rxc3+(?!) instead of 13...Rd2+(!?) (which also loses), but it is perfectly right to choose it in the solution. (The main line of a win study must feature optimal moves only for white.)