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[Solved]Consider Following Greedy Strategy Finding Shortest Path Vertex Start Vertex Goal Given Co Q37233144

Consider the following greedy strategy for finding a shortestpath from vertex start to vertex goal in a given connectedgraph.

1. Initialize path to start.

2. Initialize VisitedVertices to {start}.

3. If start=goal, return path and exit. Otherwise, continue.

4. Find the edge (start,v) of minimum weight such that v isadjacent to start and v is not in VisitedVertices.

5. Add v to path.

6. Add v to VisitedVertices.

7. Set start equal to v and go to step 3.

Does this greedy strategy always find a shortest path from startto goal? Either explain intuitively why it works, or give acounter-example.

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