6. (5 marks) Let ={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. Figure 3: State-transition diagram for Question 6