Question: Problem 4 (10 points): Prove that if a heuristic is consistent, it must be admissible. Construct an example of an admissible heuristic that is not

Problem 4 (10 points): Prove that if a heuristic is consistent,

Problem 4 (10 points): Prove that if a heuristic is consistent, it must be admissible. Construct an example of an admissible heuristic that is not consistent. (Hint: you can draw a small graph of 3 nodes and write arbitrary cost and heuristic values so that the heuristic is admissible but not consistent)

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