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Give the transition diagram for a DFA over the alphabet -{a,b,c} that accepts a string w iff w contains ab as a substring but does

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Give the transition diagram for a DFA over the alphabet -{a,b,c} that accepts a string w iff w contains ab as a substring but does not contain abb as a substring. [Hint: use the text-search approach together with the product construction and complementation] What is the least number of states you need

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