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1. (20 MARKS) Let L, be the set of strings over {a,b} that contain at least two a's and Ly be the set of strings

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1. (20 MARKS) Let L, be the set of strings over {a,b}" that contain at least two a's and Ly be the set of strings over {b}" that contain at most two a's. (a) Give a DFA for L (b) Give a DFA for L2 (c) Using the product construction shown in class, give a DFA for LUL. Show all states, even those that are inaccessible

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