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, B) 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)5 Answer the following questions a) Which (if any) states are local maxima and global maxima? b) Trace hll 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