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Bh6+ is rather obvious
1.Bh6+ Kg6 (best) 2.gxh5+ Kxh6 3.Qxf6+ Kxh5 4.Rh1+ Kg4 5.Rh4# or 5.f3#
Bh6+
Dragonard says
1. Bh6+ Kg6(if Kh8 then mate in 2)
(if Kxh6 then 2. Qxf6#)
2. gxh5+ Kxh6
3. Qxf6+ Kxh5
4. Rh1+ Kg4
5. Rh4#