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a) Given a string w of 0s and 1s, the flip of w is obtained by...

a) Given a string w of 0s and 1s, the flip of w is obtained by changing all 0s in w to 1s and all 1s in w to 0s. Given a language A, the flip of A is the language {w | the flip of w is in A}. Prove that the class of regular languages is closed under the flip operation.

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