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It has to be Rxh5, right? Only three options for black. First hangs mate, second loses the Q, third:
…Kg7 2. Rh7 Kxf6 3. Qf4+ Ke7 4. Qxd2
1. Rxh5+ Qxh5 (if gxh5, Qh7 mate)
2. Nxh5 Rb8 (if gxh5, Qxa8 wins)
3. Nf6 1-0 (Queen versus Rook)
1 R:h5 Q:h5
2 N:h5 gh
3 Q:a8 Rd8
4 Q:a7
and white is up Q vs 2B; possible more to follow since Black’s pieces are not well coordinated.
If 1 … Kg7
2 Ne8+ Kg8
3 R:c5 bc
4 Q:a8
and white is up Q+N vs R+2B
1. Rxh5+
1. … gxh5
2. Qh7#
1. … Qxh5
2. Nxh5
2. … gxh5
3. Qxa8
2. … Rb8
3. Qe5+ and
4. Qxb8
1. … Kg7
2. Rxc5, threatening
3. Qxa8
Some digital regurgitations in an attempt to find the best line for white, not to demonstrate how clever I am. The initial line is a mix of my ideas and Fritz 13’s playing white and solely Fritz 13 playing black:
[FEN “r1b2b1k/p4p2/1p2pNp1/2q4p/4Q2R/2P5/P2r1PPP/R5K1 w – – 0 0”]
1. Rxh5+ Qxh5 {Black queen forced to take knight on h5.}
(1… gxh5 2. Qh7#)
2. Nxh5 Bb7 {From here, one would think the rest is easy, but no – at least for me it is surprisingly difficult.}
3. Qxb7 Rad8 {The doubled rooks are extremely dangerous and the white king is very vulnerable.}
4. Ng3 R8d7 {The knight on g3 provides some protection for the king in case black plays Rd1.}
5. Qf3 R2d3 {The white queen is defending d1.}
6. Qg4 Rxc3 {Takes some pressure off d1.}
7. Rd1 Rxd1+?
8. Qxd1 Ra3 {Any such exchange is to white’s advantage.}
9. Qc2 Kg7
10. Ne4 Ra5
11. Qc3+ e5
12. g4 Ba3
13. g5 Be7
14. Qh3 Bxg5? {The goal was to get the knight to f6 with pawn protection, but the bishop move has prevented that.}
15. Nxg5 Kf6
16. Qh4 Kf5
17. Nxf7 Ke6
18. Qc4+ Kd7
19. Qe4 Kc7
20. Nxe5 Rc5 {White can try to promote his king-side pawns now.}
21. f4 Rc1+
22. Kf2 Kb8
23. Qxg6 Kc7
24. Kg2 Kb7
25. h4 Ka6
26. Nc6 Kb7
27. h5 Rxc6 {White is happy to exchange his knight and queen for black’s rook, since he easily can promote the pawn on the h-file.}
28. Qxc6+ Kxc6 {Black resigns.}
How Fritz 13 (infinite analysis mode) playing both white and black would have played it like this:
5. Qc6 Be7
6. Re1 R2d6
7. Qa8+ Kg7
8. Ne4 Rd1
9. Kf1 R1d3
10. Qc6 R3d5
11. c4 Rd4
12. Qb5 Bf6
13. Re3 Rd1+
14. Ke2 Ba1
15. f4 Rd8
16. Ra3 R1d7
17. h4 Re7
18. Re3 f5
19. Qb4 Rdd7
20. Nc3 Kf7
21. Kf3 Re8
22. c5 Bxc3
23. Rxc3 bxc5
24. Qxc5 Red8
25. g4 fxg4+
26. Kxg4 Rh8
27. Qe3 Rhd8
28. Qe5 Rd5
29. Rc7+ R8d7
30. Rxd7+ Rxd7
31. Qh8 Rd5
32. Qh7+ Kf6
33. Qxa7 Rf5
34. a4 e5
35. Qa6+ Kg7
36. fxe5 Rxe5
37. Qc4 Re7
38. a5 Kf8
39. Qd4 g5
40. hxg5 Rf7
41. a6 Kg8
42. a7 Rxa7
43. Qxa7 Kh8
44. g6 Kg8
45. Qf7+ Kh8
46. Qh7#
No doubt someone can find a better line than either of the above.
It looks like Rh5 but i am lost after kg7.
Ra8 is hanging, but black has Qxf2+, so a better first move here is obvious after approximately 2 seconds:
1. Rxh5! Kg7 (gxh5 Qh7#)
2. Rxc5 Rb8 (bxc5 Qxa8 Kxf6 Qxc8 is also up with queen for piece)
3. Qe5 Ra8
4. Ra7 is up with queen for piece.
1. … Qxh5
2. Nxh5 Rb8 (gxh5 Qxa8 Kg7 Qxc8 is also up with queen for piece)
3. Qe5+! Kg8
4. Qxb8 gxh5
5. Qxc8
seems that all variations end up with queen for piece, but I may have overlooked something.
Note that it’s not quite enough here to see that white gains queen in 2 moves!
If black could afterwards save his a8 rook, white should have only a small advantage.
Txh5
1. Rxh5+, gxh5 2. Qh7#
Or if black prefers to lose his queen: 1. – , Qxh5 2. Nxh5 and white wins.
White knight wants to return to f6 in his next move and the checkmate threat on h7 will be renewed. Black is completely lost.
1. Rh4xh5+ wins the black Queen.
–br
1.Rxh5 Qxh5 2.Kxh5 Bb7 3.Qxb7
1.Rxh5! Qxh5 2.Nxh5 Bb7 (2… Rb8? 3. Qe5+) 3.Qxb7
1.Rxh5! Qxh5 2.Nxh5 Bb7 (2… Rb8? 3. Qe5+) 3.Qxb7