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1. Ng6+, Bxg6
2. Qh8+, Kf7
3. fxg6+, Ke6
4. Qh3#
Tempting to play Qh8 first, but is not mate in 4, and may not be a forced mate at all, though it should win easily. Better to divert the bishop first:
1. Ng6! Bg6 (Kg8 2.Qh8#)
2. Qh8 Kf7
3. fg6+ Ke6
4. Qh3#
1.Ng6+ Bxg6
2.Qh8+ Kf7
3.fxg6+ Ke6
4.Qh3# Checkmate!
1.Ng6+ Bf7xg6
Still remember solving this beautiful problem showing the long range power of the Q!
Harry
1.Ng6+Bxg6
2.Qh8+Kf7
3.fxg6+Ke6
4.Qh3#
this is the only soluti0n i can see.
1. Ng6+ Bxg6 2. fxg6 Bf6 3. Bd6+ Re7 4. Qh8 mate.
1.Ng6+ Bxg6
2.Qh8+
(2.fxg6 Qh3 3.Qxh3 B(e7)to anywhere in the world 4.Bd6++ Kg8 5.Qh7# )
2… Kf7
3.fxg6+ Ke6
4.Qh3#
1.Ng6+ Bxg6
2.Qh8+
(2.fxg6 Qh3 3.Qxh3 B(e7)to anywhere in the world 4.Bd6++ Kg8 5.Qh7# )
2… Kf7
3.fxg6+ Ke6
4.Qh3#
1.Ng6+ Bxg6 2.Qh8+ Kf7 3.fxg6+ Ke6 4.Qh3++