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Prove that the following are not regular languages.

a) The set of strings of 0's and 1's whose length is a perfect square.

b)The set of strings of 0's and 1's that are of the form ww^R, that is, some string followed by its reverse.

c) The set of strings of the form w1^n, where w is a string of 0's and 1's of length n.

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