This setup is used in the previous problem. Suppose a Markov chain has three states, A, B, and C. From state A, the process changes randomly to a different state. From state B, the process is equally likely to stay as to change. If it changes, each other state is equally likely. From state C, the process is three times as likely to change as to stay, but it never changes to B. Find the proportion of time this process spends at each state in the long run. Enter these probabilities below, in order. Give exact answers (use fractions if necessary).