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1.Rh7 Re1+
(1…Kg8 2.Rh8+ Kxh8 3.Qxh6+ Kg8 4.Qg7#)
2.Qxe1 Kg8
(2…Qxf6 3.Bxf6 Kg8 4.Rh8#)
3.Qg3+ Kf8 4.Rh8#
1. Rxg2 (threatening Qxh6#) Qxg2 2. Qxh6+ Kg8 3. Bh7+ Kh8 4. Bg6+ Kg8 5. Qg7# is nice, though not a mate in 4
1. … Qxf6 2. Bxf6 Re1+ 3. Qxe1 Re8 (or Rc7) 4. Rg8+ Kxg8 5. Qg1+ Kh8 (of Kf8) 6. Qg7# is bloody!