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1. Rh7+ Kxh7 ( 1. … Kg8 2. Qxg6#) 2. Qe7+ Rf7 3. Qxf7+ and 4. Qg7# 2 minutes
1Rg8 accomplishes likewise.
1. Rg8+ Rxg8 and then what?
No, it doesn’t.
1 – Rh7+ – Kg8
2 – Qxg6#
1 – Rh7+ – Kxh7
2 – Qe7+ – Kh6 , Kh8 , Kg8
Then 3 – Qg7#