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For each of the following languages, either show that the language is regular by providing a finite automaton, or prove that the language is not

For each of the following languages, either show that the language is regular by providing a finite automaton, or prove that the language is not regular using the pumping lemma.

L= {xy | x, y {0,1} and the number of 1s in x is the same as the number of 1s in y}.

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