they're your own bits so bits by coding cost you send you'll because of log 1 over P I to send I then cause of log 1 or P of X I just an x given I and then you earn this back because those bits actually it's a bunch of random bits that we're sitting there in or sent across but they're not yours you don't have to pay the price for them and if you do the math you actually have log 1 over P of X so you'll get encoding of our want to send X at the entry rate for X so we've got optimal encoding great we're optimal now what does it look like