
Solution

1. Nf6+ Kg7 2. Qxf8+! Kxf8 3. Nxh7+, followed by Nxg5
Or
1. Nf6+ Kg7 2. Qxf8+ Kxf6 3. Qd8+ followed by Qxg5
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1. Nf6+ Kg7 2. Qxf8+! Kxf8 3. Nxh7+, followed by Nxg5
Or
1. Nf6+ Kg7 2. Qxf8+ Kxf6 3. Qd8+ followed by Qxg5