The Ides

What do I do?
You slide your fingers across the screen changing the lights. The shape of the light indicates the type of light. The simplest light, the circle, changes between green and red each time you touch it. Other shapes have other rules. Your job is to figure them out.

Why do the lights keep resetting?
There are two no-nos when pressing the lights. First, you cannot go back to the previous light you touched (there's a white circle on that light). Second, the light must be a neighbor of the first light. That is, the light must be above, below, to the right or the left of the first light.

What's with the smiley face level?
As the title of the level says, blame Maya.