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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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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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- In the figure below there is a weighted graph, dots represent vertices, links represent edges, and numbers represent edge weights. S 2 1 2 1 2 3 T 1 1 2 4 (a) Find the shortest path from vertex S to vertex T, i.e., the path of minimum weight between S and T. (b) Find the minimum subgraph (set of edges) that connects all vertices in the graph and has the smallest total weight (sum of edge weights). 2. 3.arrow_forwardGiven an undirected weighted graph G with n nodes and m edges, and we have used Prim’s algorithm to construct a minimum spanning tree T. Suppose the weight of one of the tree edge ((u, v) ∈ T) is changed from w to w′, design an algorithm to verify whether T is still a minimum spanning tree. Your algorithm should run in O(m) time, and explain why your algorithm is correct. You can assume all the weights are distinct. (Hint: When an edge is removed, nodes of T will break into two groups. Which edge should we choose in the cut of these two groups?)arrow_forward"For the undirected graph shown below, give the number of vertices, the number of edges, and the degree of each vertex, and represent the graph with an adjacency matrix." This task is solved here, but it is only solved for task a, not b. could you help me with task b?arrow_forward
- Write an algorithm that uses an adjacency matrix, A[n][n], to determine if a digraph contains the back edge of one of its edges. (The back edge of an edge (i, j) is the edge (j, i).) 2.arrow_forwardFor the 8-queens problem, define a heuristic function, design a Best First Search algorithm in which the search process is guided by f(n) = g(n) + h(n), where g(n) is the depth of node n and h(n) is the heuristic function you define, and give the pseudo code description.arrow_forwardProcedure 1 (Local Search(y) with depth δ) t := 1.While t ≤ δ and ∃z : (H(z,y)=1 and f(z) > f(y)) do y := z. t := t + 1.If there is more than one Hamming neighbor with larger fitness, z may be chosen arbitrarily among them.Algorithm 1 ((1+1) Memetic Algorithm ((1+1) MA)) write correct algorithm otherwise you will get downvote.arrow_forward
- Procedure 1 (Local Search(y) with depth δ) t := 1.While t ≤ δ and ∃z : (H(z,y)=1 and f(z) > f(y)) do y := z. t := t + 1.If there is more than one Hamming neighbor with larger fitness, z may be chosen arbitrarily among them.Algorithm 1 ((1+1) Memetic Algorithm ((1+1) MA))arrow_forwardGiven a linked list L storing n integers, present an algorithm (either in words or in a pseudocode) that decides whether L contains any 0 or not. The output of your algorithm should be either Yes or No. What is the running time of your algorithm in the worst-case, using O notation?arrow_forwardConsider the problem of finding a maximum weight spanning tree of a given weighted connected undirected graph. Another words, you would like to have an algorithm that finds a spanning tree with the largest possible total edge weight. Describe such algorithm in pseudocode, give a justification of correctness of your algorithm, and discuss the running time. For this use “reduce to known” technique: assume that you can call Prim’s algorithm as described in class, but you can not modify the algorithm to adjust it to your problem (however, you a free to modify the given input graph).arrow_forward
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