Mate in the Fourth

The first four moves played by White are 1. f3, 2. Kf2, 3. Kg3, 4. Kh4. If White gets mated in the fourth move, what could be the moves played by Black?

The game proceeds as follows:

1. f3 e5 (or e6)
2. Kf2 Qf6
3. Kg3 Qxf3+
4. Kh4 Be7#