send an X we look at the I that minimizes we're coming here is both I and X so we're really coding log 1 over P of I comma X willing to choose our I we get to choose and we're picking the one that minimizes that quantity another way to write a second equation here same thing okay so the schema straightforward and we know how much is going to cost us is it optimal it's not optimal because effectively we're using a different distribution Q of X which I'll have a cost H of X plus the kr between P and Q what do I mean with that when we use