I got to the top of the screen but then I had no warning of where the next object would fall from and about 0% chance of hitting it in the right place when it did. Then when my empire melted, my ice gun stopped working.
I see that's intentional now. It didn't strike me as a puzzler. More a frantic platformer, but the distinction is arbitrary. Still, don't know what I'd do at the top next time.