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1) Ne7+, Kh8 (the only move)
2) Nxg6+ (a) … Kg8;
3) Ne7+, Kh8;
4) Qg4 and mates on the next move.
OR (b) … fxg6
3) f7+, Ne5 (or f6)
4) Qf6# (or Qxf6#, or Bxf6#)
My (a) solution is slightly inaccurate, since there is actually a way to prolong the agony after 4) Qg4 above. Black might try Bg5, thereby surviving for one more move: 5) Qxg5, and now it’s mate on the next — e.g., if … Rg8, 6) Qxg8#, or if … Nxf6, 6) Bxf6#.
1. Ne7+ Kh8
2. Nxg6+ Kg8
3. Ne7+ Kh8
4. Qg3 Bg5
5. Qxg5 Rxg2
6. Qxg2 b3
7. Qg7#
or
1. Ne7+ Kh8
2. Nxg6+ Kg8
3. Ne7+ Kh8
4. Qg3 Bg5
5. Qxg5 Rxg2
6. Qxg2 Nxf6
7. Bxf6#
Very good, Alena! I stand corrected again. Yes, Black has yet one more move whereby to postpone the inevitable.
While the latent pin on the h-pawn is easy to spot, not so with the indirect pin on the f-pawn that gives black no joy after 2.Nxg6+.