Question: 1. (15 points] You are given the following heuristic function for the Traveling Sales Person Problem (TSP): h(n) = distance to the closest unvisited city.

1. (15 points] You are given the following heuristic function for

1. (15 points] You are given the following heuristic function for the Traveling Sales Person 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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