Consider the following random walk on the "ring" of size 10: the state space is {0, 1, 2, 3, 4, 5, 6, 7, 8,9}, and the random walk jumps +3 with probability 1/3, jumps -2 with probability 1/6, and jumps -1 with probability 1/2. (The operations are meant mod 10, so 8 + 3 gives 1.) Find a stationary distribution of the Markov chain. Hint: Do not try to solve the equation system, try to look for a special property of the Markov chain instead