string will have a unique interval he end up in and so that a different sequence we end up with a different interval the idea behind arithmetic code is that what we're going to communicate is the interval so way to communicate the this thing over here now we still have to decide how we're going to commute but that's the idea and you don't need to know I had I'm how long your bit string is or your symbol string is going to be because this interval one boom maps to whatever simple sequence you receive so just need to encode this and