Question
You are given the following heuristic function for the Traveling SalesPerson Problem (TSP): h(n) = distance to the closest unvisited city. Answer the following questions:
You are given the following heuristic function for the Traveling SalesPerson Problem (TSP): h(n) = distance to the closest unvisited city. Answer the following questions:
1. Is this heuristic admissible? Explain your reasoning.
2. Show an example of a TSP where the Greedy-Best-First algorithm with this heuristic finds an optimal solution.
3. Show an example of a TSP where the Greedy-Best-First algorithm with this heuristic does NOT find an optimal solution.
4. Is Greedy-Best-First search with an admissible heuristic guaranteed to find an optimal solution?
5. Propose an admissible heuristics for the TSP, different from the heuristics given above.
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