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Let L = {0 n w | n 1, w {0, 1}*, and w contains at least n 1s} and M = {0 n w

Let

L = {0n w | n 1, w {0, 1}*, and w contains at least n 1s}

and

M = {0n w | n 1, w {0, 1}* , and w contains at most n 1s}.

(a) Prove that L is regular.

(b) Prove that M is not regular.

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