Chess: Checkmate in $x moves

White to move, mate in 2!

cjayD2.jpg

Qh5
Qxh5
Rg8#

Qh5
Rb8
Qxh7#

Qh5
Rg7 successfully blocks as a mate in 3
Qxh7+
Rxh7
Rg8#

Will have to try later.
 

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