in the other half of the time half the time you have to send what it say it's be in the other half of the time you have to signal with the one that it's one of the other two and then at the end you decide which one it is when you're down here so what we can this even though we haven't proven this intuitively it should make sense that this is a very good scheme for encoding this kind of distribution over symbols because you can't say anything less than one symbol for a otherwise you have not communicated anything a is the most