Two giants, A and B, are moving randomly around the earth, taking one step each hour, according to the Markov chain shown below. Their locations right after then-th step are denoted by {An}, and {Bn}, respectively. The giants move independently of each other, i.e., the processes {An} and {Bn} are independent.

The steps of each giant are independent and are clockwise with probabilityp, and counter-clockwise with probability1?p. Assume that0