need Solution of this problem

Problem 2. Compute the capacity (and the input distribution maximizing the mutual information) of the discrete memoryless channel given in Figure 2. 1/2 A 1/4 2 3/4 B 3/4 1/4 3 Figure 2: Diagram of a discrete memoryless channel for Problem 2 Hint: Denote by e.g. (a,b,1 - a - b) the input distribution on {1,2,3). When computing the mutual information, observe carefully what each expression depends on