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(a) 1.Nh5+ gxh5 2.Qf6+ Kg8 3.Ne7#
(b) 1.Nh5+ Kg8 2.Ne7+ Kh8 3.Qf6+ Bg7 4.Qxg7#
(c) 1.Nh5+ Kh8 2.Qf6+ Kg8 ( or 2. …Bg7 3.Qxg7# ) 3.Ne7#
1. Nh5+
1…Kh8 2. Qf6+ Bg7 [2…Kg8 3. Ne7#] 3. Qxg7#
1…gxh5 2. Qf6 Kg8 3. Ne7#
1…Kg8 2. Ne7+ Kh8 3. Qf6+ Bg7 4. Qxg7#
1. Nh5+ if PxN then Qf6+ then Ne7 mate; if Kg8 then Ne7+; Kh8 Qf6+ Bg7 and QxB mate. Other varients all give mate also.
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Exactly!