Got the entrance open (from the right side) but I don't really know what to do, especially since the generator keeps punishing me for my sleepiness!

EDIT: Just got it, once I found the initial "trick" the rest was quite a smooth sailing.
The generator nailed me two times, though.
I exited after 25000 and something points... on 3:40 and something.

If you wait before exiting you get oodles of points!
