Daily chess puzzle: Check Mate #430

Another puzzle from Dragoslav Andric’s 1981 book “Matni Udar”.  
White to play and mate Black. 

Mosionzik v Dementiev, USSR 1976. 
Solution 
The obvious moves are 1 Rh7+ and 2 Rch2: and indeed they win, mate in 10: by Black prolonging things by giving his pieces away. 

So, that’s the solution, but I was surprised when checking the book to see 1 Qg1!! (the book’s exclams): alas, Black isn’t forced to take, and after 1…Kf8! it is level after 2 Rc5 dc 3 Rh7 due to 3…Ra3+ and perpetual. Or if 3 Qc5 h5 and the game goes on.
FEN 

8/4p1kp/3p1p2/2bPqB2/P3Pn2/5r2/K1R5/2Q4R w – – 0 1