I beat the first difficulty level! And my strategy would scale, so I stopped there.
If you just stand right in front of the middle for ~15 seconds before you go through the door, and then you do it for slightly less time each loop, you can win no problem!
I also tried it the way I assume it is intended to be played, and that is trickier! I love that the balls can teleport you, but man it makes it tricky on the next time you play!