Using pumping lemma, prove that the following sets are nonregular: A = {zz E {0.1)'). Hint: Find a string in A that when applied pumping lemma will lead to a contradiction. B = {1n2 0). Hint: Similar to the hint in A. Note how the length of the strings in B grows as n n increases. . C = {(0,1)' I #a(z) = #b(z)). Hint: re-use the fact that set D = {0"In In2 0} is nonregular