3 1 9 - 3 3 11. Five women (A, B, C, D, E) and five men (V, W, X, Y, Z) are to be married. Their preferences are given as: A: V, W, X, Y, Z V: A, B, C, D, E B: W, X, Y, Z, V W: A, B, C, D, E C: Y, Z, W, X, V X: A, B, C, E, D D: W, Z, Y, V, X Y: B, A, D, C, E E: Z, Y, X, W, V Z: C, D, E, A, B a. Decide whether the proposed solutions shown below are stable set of marriages and indicate the rogue couples if there are any. i. (A, W), (B, X), (C, Y), (D, Z), (E, V) ii. (A, Z), (B, Y), (C, X), (D, V), (E, W) b. Find a stable matching by applying the TMA to this problem with i. the men proposing to the women. ii. the women proposing to the men