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1. Qh5+! Kxe7 (or mate in 1)
2. Rxg7+ Ke6 (or mate in 1)
3. Qe3+! Kf5
4. Qg4+! Ke5
5. f4+ Ke4
6. f5+ Ke5
7. Qe2+! Kf-
8. Rf1#
1.Qh5+ Kxe7 (1…Ke6 2.Rge1#)
2.Rxg7+ Ke6 (2…Rf7 3.Qxf7#)
3.Qe2+ Kf5 (forced)
4.Qg4+ Ke5 (forced)
5.f4+ Ke4 (forced)
6.f5+ Ke3 (6…Ke5 7.Qe2+ Kxf5 8.Rf1#)
7.Re1+ Kf2
8.Qe2#
The start is rather obvious, the accurate continuation difficult, but this seems to work:
1. Qh5+ Kxe7 (Ke6 Rge1#)
2. Rxg7+ Ke6 (Ke8 Qe2+ mates in next 2)
3. Qe2+ Kf5
4. Qg4+ Ke5
5. f4+ Ke4
6. f5+ Ke5
7. Qe2+ Kf4 (Kxf5 Rf1#)
8. Rg4+ Kxf5
9. Qe4#/Rf1#
Major work was to get rid of the f pawn.
1. Q-h5+, K x e7
2.R x g7+, K-e6
3.Q-e2+, K-f5
4.Q-g4+, K-e5
5.f-5+, K-e4
6.Q-e2+, K x f5
7.R-f1 #