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1. Qxh7+ Kxh7
2. Rh1+ Kg8
3. Rh8#
Can delay 1 move by Bh2
1. Qxh7+ Kxh7
2. Rh1+ Kg8
3. Rh8#
Easy mate in 4.
Qxh7+ Kxh7 and Big Mama is sacked
Rh1+ Kg8
Rh8#
Note Bh2 delays the mate.