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1.Rxf7+ Kh6 (1…Rf7 2.Qh8#)
2.Qg7 + Kh5
3.h4 + followed by Qd4+ and Qf4#
😉
2.Qf4 g5 3.Qf6#
To Anonymous:
2.Qf4 Qg5!
1. Rxf7+ Kh6
2. Qf4+ Qg5
3. Qxg5+ Kxg5
4. h4+ Kh6
5. Rxf8
1.Rxf7+ Kh6
(1.. Rxf7 2. Qh8#)
(1.. Kg8 2. Qg7#)
2.Qg7+ Kh5
3.h4+ Kxh4
(3.. Kg4 4.Re4#)
4.Qf6+ Qg5
(4..g5 5. Re4#)
5.Re4#
erratum: 2.. Kg5 of course
I think 1.Rxf7+ Kh6 2.Qg7+ Kg6 3.Re5+> is somewhat easier to calculate quickly.
1.Rxf7+ Kh6
2.Qg7+ Kg5
3.h4+ K:h4
4.Re4 mate
OR
3. h4+ K:h4
4. Qd4+ Kg5
5. Qf4 mate