Hey Kingskiller. Sorry, but I think it is a rather poor puzzle. There are many solutions.
Here are two, there might be more:
1.Qd8 Kc6 2.Kd4 Kb7 3.Qc7+ Ka8 4.Be4#
1.Qa4 Ke6 (other moves are quicker deaths) 2.Qe8+ Kd5 3.Qd7 Kxc5 (3...Kxe5 4.Qf5#) 4.Qb5#
Fixed edition needs more fixing 
Thanks TonightOnly, I didn't see those solutions... I'll have to think about it, and may be just forget it
P.S. It's called "Great Puzzle" to make people look at it, otherwise nobody does!!! It's poor one, I agree.
Don't forget to look at "Move list" because it has a lot of other variations.