There are 5 people {1, 2, 3, 4, 5} with the following email communication links {(1, 3), (2, 1), (2, 4), (3, 5), (4, 2), (4, 5)}. To decide how messages and computer viruses spread in this email network, find which pairs of people are connected in the network by computing the transitive closure of the network using Warshall's algorithm. Show all steps of the algorithm clearly.