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1.Nf6+ Kg7
(1…. Kh8 2.Qf8#)
2.h6+ Kxh6
(2… Kh8 3.Qf8#)
3.Qf8+ Kg5
4.Rf5+ gxf5
(4….. Kh4 5.Qh6#)
5.Qg7+ Kh4 /Kf4
6.Qg3#
1.Nf6+ as white now has an inevitable mating sequence against black. I looked 1…Kf7, and then comes 2.h6+, Kxh6 3.Qf8+ after which mate is soon to follow.