Does Pink Floyd need no verses or chorus?

(Posted by Mark Caro)

OK, it's time to play Identify the Song Parts again.

Pink Floyd's "Another Brick in the Wall, Pt. 2" is one of the most structurally simple hit singles ever.

Does it consist of a chorus that's sung twice, followed by a guitar solo?

Or is the "We don't need no education..." part actually a verse that recurs, with "All in all it's just another brick in the wall" serving as the refrain?

Please solve this mystery -- because if you don't eat your meat, you can't have any pudding.