(5 marks) Let I = {a,b,c}. Using the systematic method described in the lectures (the subset construction), convert the nondeterministic state diagram given in Figure 3 into a deterministic state diagram. Your answer should indicate how the deterministic state diagram is obtained from the nondeterministic one: the states of the deterministic diagram should be labeled by sets of states of the nondeterministic diagram. a a b E F b G