Invent a heuristic function for the 8-puzzle that sometimes overestimates, and show how it can lead to a suboptimal solution on a particular problem. (You can use a computer to help if you want.) Prove that, if h never overestimates by more than c, a using h returns a solution whose cost exceeds that of the optimal solution by no more than c.
Answer to relevant QuestionsProve that if a heuristic is consistent, it must be admissible. Construct an admissible heuristic that is not consistent.Relate the time complexity of LRTA* to its space complexity.Explain why it is a good heuristic to choose the variable that is most constrained, but the value that is 1act constraining in a CSP searchSuppose that a graph is known to have a cycle cut set of no more than k nodes. Describe a simple algorithm for finding a minimal cycle cut set whose runtime is not much more than Q(nk) for a CSP with n variables. Search the ...Consider carefully the interplay of chance events and partial information in each of the games in Exercise 6.10.a. For which is the standard expectiminimax model appropriate? Implement the algorithm and run it in your ...
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