The search problem is set up as follows. . the set of states S-A, B,C, D, E, F) successors of A are {A, B,C successors of B are {B,C,D successors of C are [C, D) successors of D are A, D,E . successors of E are {E, F) successors of F are [C, D, F the objective function f is:f(A) 0, f(B) 2, f(C)- 3, f(D)-4, f(E) 1,f(F)-5 Answer the following questions a) Which (if any) states are local maxima and global maxima? b) Trace hill climbing search starting from state A-indicate which state is considered at each iteration, and which solution is returned when the search terminates. For example: Iteration 1: The highest-value of successor of A is state ?? Iteration 2: Does it return the optimal solution