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Prove that the following languages is regular or not regular: a. The set of binary strings that contain an equal number of occurrences of the

Prove that the following languages is regular or not regular: a. The set of binary strings that contain an equal number of occurrences of the substrings 01 and 10. b. The set of strings that have an even number of double zeros in them. (Note that three zeros in a row count as 2 double zeros).

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