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Task 1 (3 points + 7 points + 5 points = 15 points) 1. Build graph for the given matrix (3 points) Inf 5 Inf

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Task 1 (3 points + 7 points + 5 points = 15 points) 1. Build graph for the given matrix (3 points) Inf 5 Inf 3 Inf 20 7 5 Inf 5 1 18 1 2 Inf 5 Inf 17 Inf 6 14 3 1 17 Inf 12 7 14 Inf 18 Int 12 Int Inf 19 20 1 6 7 Inf Inf 2 14 14 19 5 Inf 5 7 2. Find the shortest (minimum weight) path from vertex 5 to vertex 7 using Dijkstra algorithm, find his weight (first stage of Dijkstra algorithm (7 points) and second stage of Dijkstra algorithm (5 points)). You should show all middle states of graph

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