Consider the following network.a) Draw an adjacency list and an adjacency matrix representation of the directed graph.(3 marks)b) With the indicated link costs, use Dijkstra's shortest-path algorithm to compute theshortest path from 0 to all network nodes.(i) Show how the algorithm works by computing a table like the one discussed inclass.(ii) Show all the paths from node 0 to all other network nodes.(5 marks)(2 marks)
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