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Expert Answer
To find the shortest path between A and E, we can use Dijkstra's algorithm. Here is the step-by-step process:Start at node A with a distance of 0 and add it to the min-heap.MIN-Heap: [(A, 0)]2. Extract the node with the smallest distance from the min-heap, which is A with a distance of 0. Visit its neighbors and update their distances in the min-heap.Visit B with a distance of 1. Add it to the min-heap with a distance of 1.Visit C with a distance of 2. Add it to the min-heap with a distance of 2.Visit D with a distance of 3. Add it to the min-heap with a distance of 3.MIN-Heap: [(B, 1), (C, 2), (D, 3)]