two the two factors x and y well with P you just you know I'm just I just want to like find the answer okay so the problem of people's emptiness asking whenever it's possible to check that x times y equals a number could I find could I do the inverse and figure out x and y efficiently as well okay so this is a very stark contrast between these two kinds of problems okay so P equals NP is asking a verifying a solution a problem is easy to do then can we find a solution the problem also easily so here's another number okay