(40pts) For each of the following languages, state whether they are regular, context-free but not regular, or not context-free and prove your answer. a. {xyl x, y e {a, b)" and 1x1 = 1vb. b. ((ab)ha"b I n> 0). c. {x#y | x, y e {0, 1)" and x* y} d. {ago I i, n > 0 and i-n or i = 2n). e. xyxR:x e (o, 1] and y e (0, 1)")