Suppose that there are four men m_l , m _2, m_3, m_4 and ve women w_1, w_2, w_3, w_4, w_5 in a marriage market. Agents' preferences are as follows: P(m_l): W_l , w_5 , w_4 , w_3, w_2; P(m_2): w_l , w_3, w_5, W_2, w_4; P(m_:_3)w4,w_,_,_,w2w3w5 _l; P(m_4):_w5w_,_,_,w3w2w1_4; P(w_1):_n14,m_2,m_1m,_;3 P(w_:_2)ml, m_2 ,_,m3 m_4; P(w_:_3)ml, m_3, m_4 ,_m2; P(w_:_4)m4,m_2,:m1,_m3; P(w_:_5)m4, m_2 ,m_3, m_1 E\" Calculate the outcome of woman-proposing DA algorithm. b. Does any man have a protable deviation from truthfully telling his preferences. If so which one(s)? c. Does any woman have a protable deviation from truthfully telling his preferences. If so which one(s)