Give a DFA for each of the following sets of strings over the alphabet {a, b}. Be sure to indicate the start and final states. Try to design correct DFAs that are as simple and neat as possible. a. L(a*b*a*) b. L(a*b* + b*a*) c. {w | w contains the substring abab, ie, w = xababy for some x, y = {a,b}*} d. {w | w is any string except ba} e. {w w is non-null and starts and ends with the same symbol}

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