Draw the directed graph that represents the relation R= {(1, 1), (1, 2), (1,3), (3, 1), (2, 2), (3, 3), (1, 5), (5, 1), (5,5)} on the set {1, 2, 3, 4, 5). Then determine whether R is reflexive, transitive, anti-symmetric or symmetric. Justify your answer.