Consider a best first search (BFS) algorithm that tries to find the optimal goal state with minimal cost. Consider heuristics h1, h2 with h1(n) > h2(n) for all states n. BFS with h1 is guaranteed to expand fewer nodes or an equal number of nodes to arrive at the optimal goal state than BFS with h2 Select one: True False
Q: PRINT-OPTIMAL-PARENS(s, i, j){ if (i=j) then print “A”i else{ print “(”…
A: B) Since the matrix chain, multiplication algorithm uses 3 nested loops each iterating linearly thus…
Q: Given the state space graph shown below, where the start and goal states are S ana G, respectively.…
A: c. Uniform Cost Search: Uniform Cost Search(UCS) is the algorithm known to best for a search…
Q: Computer Science Use graph to answer the questions a) Which pairs of variables will be made…
A:
Q: Q2. Consider the following search problem, represented as a graph. The start state is S and the only…
A:
Q: Find the shortest path using greedy search from S to one of the goals G1 or G2 S: Initial state,…
A: Given two Goal states and we need to find the shortest state that can be obtained from S to G1 and…
Q: Which goal is reached and what is the total cost of the solution found following state-space graph…
A: State space graph using breadth first search and uniform cost search
Q: Given an FA M = (Q,Σ,q0, A,δ) that accepts language L(M). Describe two algorithms for construction…
A: This is very simple. Let's suppose the matched string M of length L which is written as L(M) is the…
Q: We wish to minimize the travelling cost from the initial state to the goal state in the following…
A: Solution Breadth first search Breadth first search starts at starting level-0 initial vertex of the…
Q: 5 C 7 5 A 2 B 3 4 1 D G1 2 3 G2 8. 2. 2)
A: Algorithm Depth First Search 1. SET STATUS = 1 which is for ready state for all the node of G…
Q: Optimal Binary Search Tree The task is to determine whether there exist two different optimal…
A: The optimal cost for freq[i..j] can be recursively calculated using the following formula. We need…
Q: V h(V) 10 A B 4 6. D 1 E 1 10 6. 5 G1 G2 Vertex S denotes the start state and vertices G1 and G2…
A: Here we have two goal state G1,G2starting search state is S.So, for S state we have…
Q: Suppose in a state space graph, you can reach a goal node using multiple paths, where some are…
A: A state space graph is a graph in which the nodes are states and the edges between nodes are…
Q: Consider the following search problem, represented as a graph. The start state is S and the only…
A: The answer for the given questions are as follows.
Q: Which of the following are true and which are false? Explain your answers. a. Depth-first search…
A: The given questions are true or false based which have been answered with appropriate reasoning.
Q: Consider a best first search (BFS) algorithm that tries to find the optimal goal state with minimal…
A: Lets see the solution.
Q: For the problem below, two ”high level” greedy strategy is given. One of the strategies gives a…
A: Greedy Algorithm A greedy algorithm is an approach for solving a problem by selecting the best…
Q: Which goal is reached and what is the total cost of the solution found for the following state-space…
A: BFS algorithm starts searching from the root node of the tree and expands all successor node at the…
Q: Consider the vacuum-world problem defined as shown in the following figure. a. Which of the…
A: Vacuum World problem:- 1) The depth-first search technique is best suited to the vacuum-world issue.…
Q: he heuristic path algorithm is a best-first search in which the objective function is f(n) = (4…
A: When the value of w is as follows: O≤w≤1, then the algorithm will be optimal. if w ≤ 1, then the…
Q: A school is creating class schedules for its students. The students submit their requested courses…
A: In the above problem where we need to find the optimal schedule for all the students, this is a type…
Q: Question 1 Consider the following greedy algorithm for knapsack packing. (a) Sort items in…
A: That one was decided to implement a greedy approach. As a result, if our answer isn't ideal, there…
Q: Consider the following map where S is the start state and G is the goal state. Process the nodes in…
A: A search algorithm is admissible if, for any graph, it always terminates in an optimal path from…
Q: Consider the navigation problem shown in Figure 1. The number next to each edge is the cost of the…
A: Below i have given all 4 traversals:
Q: Consider the following search problem, represented as a graph. Each node is label by a capital…
A: Answer: A*Search Algorithms In this algorithms finding the path through out the traversal which…
Q: The branching part of the branch and bound algorithm that Solver uses to solve integer optimization…
A: 1. Explanation: Branch and Bound algorithm divides a problem into subsets and then place it on the…
Q: Consider the following directed search graph where S is the starting node and G1 and G2 are goal…
A: Introduction: Depth-first Search Depth-first search is a recursive algorithm for traversing a tree…
Q: Consider an 8-puzzle problem with the initial and Goal states. Determine the optimal path to reach…
A: I have given answered in the handwritten format
Q: Suppose that you want to get from vertex s to vertex t in an unweighted graph G = (V, E), but you…
A: Answer
Q: Question 2: Carry out the Two Optimal Method and the Closest Insertion Method for the Travelling…
A: Pseudo code: Initialize: Pick a vertex ui ∈ V (G)Form a path P = {ui} and put T = V (P).Iteration:1.…
Q: a. Given n items, where each item has a weight and a value, and a knapsack that can carry at most W…
A: def knapSack(W, wt, val, n): # Base Case if n == 0 or W…
Q: Consider the vacuum-world problem defined as shown in the following figure-1. a. Which of the…
A: Depth-first search algorithm is the appropriate for Vacuum-world problem. In this iterative…
Q: A school is creating class schedules for its students. The students submit their requested courses…
A: A school is creating class schedules for its students. The students submit their requested courses…
Q: (a) Write a linear time ( 6(n) ) divide and conquer algorithm to calculate x", that is x is raised…
A: A int calculate(int x,int n) { if (n==0) return 1; else if (n%2==0) // if…
Q: given 2n-1+1 subsets obtained by a set S with n elements. Project an optimal algorithm that tests…
A: The set consisting of all natural numbers that are in A and are in B is the set {1,3,5}; The set…
Q: Given the state space graph shown below, where the start and goal states are S ana G, respectively.…
A: The depth-first search is a recursive algorithm and also uses the idea of Backtracking. This does…
Q: he heuristic path algorithm is a best-first search in which the objective function is f(n)= 3w*g(n)…
A: f(n) = 3w*g(n) + (2w+1)*h(n) g(n): a path cost to n from a start…
Q: Consider in an evolutionary algorithm, it is possible to use only the single or multi point…
A:
Q: True or False? 1. Simulated Annealing can escape local optima. 2. Simulated Annealing with a…
A: We are giving the answer to each question in the next step with explanation
Q: 8. A school is creating class schedules for its students. The students submit their requested…
A: As per the given problem, the most optimal schedules need to be found out. Finding the exact…
Q: Which one is the true statement? -A hash table can be used to make an algorithm run faster even in…
A: We need to find the correct option regarding hash tables.
Q: Consider in an evolutionary algorithm, it is possible to use only the single or multi point…
A:
Q: 2 X 7 Y 4 3 7 Y M 5 N 1 2 10 4 P M P N N
A: Given The answer is given below.
Q: * search is optimal with an admissible search heuristic Select one: True Fal
A: Lets see the solution.
Q: The monotone restriction (MR) on the heuristic function is defined as h (nj ) 2 h (ni ) – c (ni ,…
A: The Highlighted path is the best first path chosen uisng best first search algorithm. Blue circle…
Q: Consider the state space graph below. For each of the following search strategies, work out the path…
A:
Q: The Optimal solution is : * a path from the initial state to a state satisfying the goal test This…
A: First, let's discuss a bit about the optimal solution. An optimal solution is the best possible…
Q: The heuristic path algorithm is a best-first search in which the objective function is f(n)= (w+2) *…
A: f(n) = (w+2)g(n) + (2w-6)h(n), Here 1<=w<=16…
Q: now that when we have a graph with negative edge costs, Dijkstra’s algorithm is not guaranteed to…
A: SUMMARY: -Hence, we discussed all the points.
Consider a best first search (BFS)
Step by step
Solved in 2 steps
- Subject : Artificial Intelligence Consider a best first search (BFS) algorithm that tries to find the optimal goal state with minimal cost. Consider heuristics h1, h2 with h1(n) > h2(n) for all states n. BFS with h1 is guaranteed to expand fewer nodes or an equal number of nodes to arrive at the optimal goal state than BFS with h2 Select one: True FalseConsider a best first search (BFS) algorithm that tries to find the optimal goal state with minimal cost. Consider heuristics h1, h2 with h1(n) > h2(n) for all states n. BFS with h1 is guaranteed to expand fewer nodes or an equal number of nodes to arrive at the optimal goal state than BFS with h2 Select one: True False The rational agent always perform the optimal action Select one: True False Fuzzy logic is useful for both commercial and practical purposes. Select one: True FalseSuppose we have a heuristic h that over-estimates h* by at most epsilon (i.e., for all n, 0<= h(n) <= h*(n)+epsilon). Show that A* search using h will get a goal whose cost is guaranteed to be at most epsilon more than that of the optimal goal.
- True or False: - Best-first search is optimal in the case where we have a perfect heuristic (i.e., h(?) = h∗(?), the true cost to the closest goal state). - Suppose there is a unique optimal solution. Then, A* search with a perfect heuristic will never expand nodes that are not in the path of the optimal solution.- A* search with a heuristic which is admissible but not consistent is complete.Please answer the following question in full detail. Please be specifix about everything: You have learned before that A∗ using graph search is optimal if h(n) is consistent. Does this optimality still hold if h(n) is admissible but inconsistent? Using the graph in Figure 1, let us now show that A∗ using graph search returns the non-optimal solution path (S,B,G) from start node S to goal node G with an admissible but inconsistent h(n). We assume that h(G) = 0. Give nonnegative integer values for h(A) and h(B) such that A∗ using graph search returns the non-optimal solution path (S,B,G) from S to G with an admissible but inconsistent h(n), and tie-breaking is not needed in A∗.Consider the search problem represented in Figure, where a is the start node and e is the goal node. The pair [f, h] at each node indicates the value ofthe f and h functions for the path ending at that node. Given this information, what is the cost ofeach path?1. The cost < a, c >= 2 is given as a hint.2. Is the heuristic function h admissible? Explain
- Write a pseudo-code for the 2-opt heuristic algorithm. The input to the algorithm should be a feasible solution to a TSP instance along with the specification of the origin node and the distance matrix as well the tour length of the corresponding feasible solution.Using the image provided, please answer the following questions. (a). Find a path from a to g in the graph G using the search strategy of depth-first search. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal". (b). Find a path from a to g in the graph G using the search strategy of breadth-first search. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal".(c). Find a path from a to g in the graph G using the search strategy of least-cost first search. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal". (d). Find a path from a to g in the graph G using the search strategy of best-first search. The heuristics for these nodes are: h(a,25); h(b, 43); h(c,5); h(d, 64); h(g, 0). Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal or "why-non-optimal".…The heuristic path algorithm is a best-first search in which the objective function is f(n)= 3w*g(n) + (2w+1) * h(n), 0≤w<3. For what values of w is this algorithm guaranteed to be optimal?
- If a Genetic Algorithm only finds local optimal solutions, what should be done to find a better one globally?Consider the following problem for path finding where S is the source, G is the Goal and O are obstacles. We can only move horizontally and vertically (not diagonally). We will not re-visit an already visited cell. - Simulate the application of Breadth-first search tree to find all paths from S to G. Provide the order of visit for each node. - Simulate the application of Depth-first search tree to find all paths from S to G. Provide the order of visit for each node. S O G OSuppose that you want to get from vertex s to vertex t in an unweighted graph G = (V, E), but you would like to stop by vertex u if it is possible to do so without increasing the length of your path by more than a factor of α. Describe an efficient algorithm that would determine an optimal s-t path given your preference for stopping at u along the way if doing so is not prohibitively costly. (It should either return the shortest path from s to t or the shortest path from s to t containing u, depending on the situation)