this algorithm works and you can already see just based on this very simple example that this algorithm has the stack like property if you encode a sequence of symbols a B V then the next thing that you decode if you wish will be the last thing that you encoded so it's sort of a first in last out type of type of stack ok can I ask a question here yeah so sorry for this simple example what is the capital P of X and the mixture of Gaussian can you explode right in terms of this example and also I don't see why the stack is being used