I won all three badges while playing another game. Either I am a genius or this game is bugged. On second thought being genius didn't change a damn thing so probably bugged.... or both :)
Wow, designers should think us as dummies, I have played half an hour and still nothing to decide, just click where you are supposed to. Why not make this an idle game?
Here is a last resort, use an image editor (like GIMP), take screenshot, paste twice and set blending mode on the second layer to difference. Moving left over to right will reveal all differences.