Problem: The following chart was used to compute Dijkstra's algorithm for some network, where we'll interpret the values on each edge as that edge's cost.
(a) What is the cost of the shortest path from Node 1 to Node 5?
(b) What path do I take to attain the minimum cost from Node 1 to Node 5?
(c) What is the cost of the shortest path from Node 1 to Node 4?
(d) What path do I take to attain the minimum cost from Node 1 to Node 5?
(e) Copy the grid below and fill in as many of the costs as you can from the information in the table above. If you have enough information, put the cost of the (i, j) edge in the cell in row i, column j. Write NEI for "not enough information", and co if i is not connected to j. NOTE: we want the costs of the edges themselves, not the cost of the shortest paths. I have filled in the diagonal values and all values under the diagonal.
(f) Is it possible to infer from the table the cost of the shortest route from Node 3 to Node 5? If so what is the corresponding route, and why do you know it? If not, can you provide an upper bound for the cost (and provide your reasoning).
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