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Let X be a set of strings over the alphabet {0, 1}, such that for any w X , |w| o = 2k , and

Let X be a set of strings over the alphabet {0, 1}, such that for any w X, |w|o = 2k, and |w|1 = 2k + 1, for some k Z+, and 01 is not a substring of w.

a. Give a dfa M with five (5) states such that L(M) = X

b. Give the regular expression generating elements of X.

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