Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
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Textbook Question
Chapter 3, Problem 23E
Trace the operation of A∗ search applied to the problem of getting to Bucharest from Lugoj using the straight-line distance heuristic. That is, show the sequence of nodes that the
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Trace the operation of A* search applied to the problem of getting to Bucharest from Lugoj using the straight-line distance heuristic. That is, show the sequence of nodes that the algorithm will consider and the f, g, and h score for each node for the problem of getting to Bucharest from Lugoj.
Show the total cost!
Chapter 3 Solutions
Artificial Intelligence: A Modern Approach
Ch. 3 - Explain why problem formulation must follow goal...Ch. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 8ECh. 3 - Prob. 9ECh. 3 - Prob. 10ECh. 3 - Prob. 11E
Ch. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Prob. 18ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Trace the operation of A search applied to the...Ch. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 31ECh. 3 - Prob. 32E
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- For straight-line distance heuristic, draw the search tree after expansion of each node until the termination of the algorithm for: a) Greedy best-first search (label all node with their h values). What is the solution (list of visited cities) found by the algorithm? b) A* search (label all nodes with their f values). What is the solution (list of visited cities) found by the algorithm?arrow_forwardGive the sequence of edges involved in Depth-first search in relation between visiting all the edges in alphabetical order starting from A. Show only the final sequence of elements.arrow_forwardUsing A* Search, show the process of identifying the correct path from the start node (A) to end node (M). Heuristic Values State Value A 0 B 3 C 6 D 5 E 1 F 3 G 2 H 4 I 3 J 2 K 1 L 2 M 1arrow_forward
- Suppose X is a subset of vertices in a G = (V,E). Give a polynomial-time algorithm to test whether there exists a matching in G covering X.arrow_forwardIf we choose to represent each genotype as a partial permutation, then provide an algebraic expression, in terms of n, for the size of the genetic search space (the number of possible valid genotypes), in terms of n. Assume that n ≥ 4.arrow_forwardLet G = (V, E) be a DAG, where every edge e = ij and every vertex x have positive weighs w(i,j) and w(x), respectively, associated with them. Design an algorithm for computing a maximum weight path. What is the time complexity of your algorithm? (You must start with the correct definitions, and then write a recurrence relation.)arrow_forward
- Apply the Breadth first traversal algorithm to the undirected graph G given in Example and replicated here for convenience. The goal is to do a Breadth first search for the key 9.arrow_forwardRead the lecture slides about NN pruning heuristics, and write the pseudo code of computing the maximum distance,maxdist(q,E), between a query point q and an MBR node E in dimensional space.arrow_forwardProve the following fact about Huffman codes: If the frequency of symbol i isstrictly larger than the frequency of symbol j, then the length of the codeword for symbol i is less than or equal to the length of the codeword for symbol j.Explain why it is sometimes more efficient to compute the distance from a single source to all other nodes, even if a specific query can only be answered partially.arrow_forward
- Note: Your solution should have O(n) time complexity, where n is the number of elements in l, and O(1) additional space complexity, since this is what you would be asked to accomplish in an interview. Given a linked list l, reverse its nodes k at a time and return the modified list. k is a positive integer that is less than or equal to the length of l. If the number of nodes in the linked list is not a multiple of k, then the nodes that are left out at the end should remain as-is. You may not alter the values in the nodes - only the nodes themselves can be changed.arrow_forward. Consider the following map and the straight line distance to the city entitled “M” from every other city. Find the shortest path from “A” to “M” using A* searching algorithm. Draw the tree structure and trace algorithm using open and closed list. Also state the shortest route with cost.arrow_forwardHey, Kruskal's algorithm can return different spanning trees for the input Graph G.Show that for every minimal spanning tree T of G, there is an execution of the algorithm that gives T as a result. How can i do that? Thank you in advance!arrow_forward
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