Solution
This time I saw many nice ideas but I cannot declare a clear winner because
,
and
found parts of the solution. I also will upvote other interesting comments, even if they failed to present the correct solution.
1. Ne8!
a)
1. ... Bxe8
2. Rf6! Kh7 (2. ... Qxf6 3. exf6 followed by 4. Rxg7 doesn't help.)
3. Rxg7+! Kxg7
4. Qxh6+ Kg8
5. Qg5+ Kh7
6. Rh6# Checkmate.
End position:
b)
1. ... Qxe8
2. Rf6! g6
3. Qxh6+ Kg8
4. h5! (The fastest win!) Nxe5
5. Rh4! Nbd7 (Other moves don't help: the longest variation start with 5. ... Qa8-a2+-g2+d4+ and so on ...)
6. hxg6 Ng4+
7. Rxg4 Nxf6 (Of course 7. ... fxg6 only delays the loss.)
8. gxf7++ Kxf7
9. Rg7# Checkmate.
End position:
c)
1. ... f5
2. exf6 en passant Qe7!? (Creative defense!)
3. Qg6! (The fastest win, threatening fxg7+.) Kg8
4. Qxh6 (Threatening Rxg7+.) Rf7
5. Rxg7+ Rxg7
6. fxg7 Qxh4+
7. gxh4 Nxf2
8. Qxe6+ Kh7
9. g8Q# Checkmate.
RE: Chess problem 61 / Schachaufgabe 61