solutions themselves are gigantic and then verifying them takes a gigantic amount of time ok so this is a huge class of problems so it's actually possible this is gigantic class problems every single problem in this class could be again simulated by an infinite family of circuits one for every input length with the following property so this is zooming in ok so every circuit looks like the following very very simple object okay we've got N squared neurons here and so in some layer we've got n inputs so this is the amp circuit so