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(a) 1.Rg6 fXg6 2.hXg6+ QXg6 3.Rh1+ Qh5 4.RXh5+
Kg6 5.Rh8 RXh8 6.BXh8
(b) 1.Rg6 Rf8 2.Rh6+ Kg8 3.Rh8#
1.Rg6 RXg7 ?
Then 2.Rxg7 and if 2…Kh8 3.h6-h7 and Rg8 or if 2…Kh6 3.Rg8 and white wins the Q or checkmates on h8.