But I don’t know if I cheated in figuring out the answer…
Update: I looked up the “real” answer, and I still don’t know if I cheated. I didn’t solve it the way you are supposed to, but I don’t like the way you are supposed to solve it. My way is more elegant, though it might be considered cheating by some puzzle purists. Whether I cheated or not, I don’t really like either solution, and therefore don’t really like the puzzle.