what is the answer of this question?

Consider the random movement of a bishop on a chessboard (look up the definitions on the internet). At each time step we pick one of the bishop's legal moves at random. We start at the top-left corner defined to be (1,1). (a) What is the stationary probability of being at (1,1)? [4 marks] (b) Does the probability of being at (1,1) at time n converge to the stationary probability? [2 marks] (c) What is the expected number of moves to return to corner (1,1) when we start there? [2 marks] Hint: Consider the graph the bishop travels on