Mate in 5
Deadly open file.
This reminds me of one of the Computer Workouts.
Thanks for the mental strain!
It could be mate in 3, with:
1. Rh8+ Kxh8 2. Qh1+ Kg8 3. Qh7#
You guys, it was obviously to get him in a feeding-frenzy making him think he was finishing the game with suicide after suicide. His way works best.
Yes, it's technically mate-in-four, because the Bishop on e7 could be brought in the path of the Queen.
The extra Rook sac is just evil, like torturing an opponent. Tut-tut. 
