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This question is about priority queues and Dijkstras algorithm. Write a report that explains what the shortest path problem is, and how, under some circumstances,

This question is about priority queues and Dijkstras algorithm.

Write a report that explains what the shortest path problem is, and how, under some circumstances, this can be solved with Dijkstras algorithm, and how, under different circumstances, it can be solved by the Bellman-Ford algorithm. Your report must have this structure:

  1. Title

  2. An introductory paragraph discussing shortest path problems with a minimum of two different practical examples, one for positive and one for negative edge-weights.

  3. One or two paragraphs explaining how Dijkstras algorithm works, and why it doesnt if any of the edges has a negative weight. (Assume that your readers understand what a priority queue is.)

  4. One or two paragraphs explaining the Bellman-Ford algorithm and how it can, under some circumstances, solve the shortest path problem when some of the graphs edge weights are negative.

  5. A concluding paragraph comparing the Dijkstra and Bellman-Ford algorithms.

Your report will be marked against the following criteria:

  • Content (points 2 to 5): Is the explanation clear and complete? Will the reader understand the Dijkstra and Bellman-Ford algorithms, how they are used to solve shortest-path problems, and when they can each be used? Do the practical examples you have used illustrate the applicability of the two algorithms?

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