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Mate in 3!
1. Rh7+
1….Kxh7. 2. Qe7+. K any. 3. Qg7#
1….Kg8. 2. Qxg6#
1. Rh7+ KxR
2. Qe7+ Kh8, Kh6, Kg8
3. Qg7++
or
1. Rh7+ Kg8
2. Qxg6+ Kf8
3. Qf7++