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Each of the following languages is the complement of a simpler language. In each part, construct a DFA for the simpler language, then use it

Each of the following languages is the complement of a simpler language. In each part, construct a DFA for the simpler language, then use it to give the state diagram of a DFA for the language given. In all parts, \Sigma ={a, b}.
1.{w| w is any string not in a* U b*}

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