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2.(Number of states) Let = {a, b}. For each k 1, let C k be the language consisting of all strings that contain an a

2.(Number of states) Let = {a, b}. For each k 1, let Ck be the language consisting of all strings that contain an a exactly k places from the right-hand end. Thus Ck = *ak-1 .

(c) Find 2k strings on which every DFA recognizing Ck must enter different states. (Hint: Start by finding 2 such strings).

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