5. Consider the problem of moving a knight on a 3x4 board, with start and goal...

     

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5. Consider the problem of moving a knight on a 3x4 board, with start and goal states labelled as S A S. H D, K A h C B. GF F D, F and G. The search space can be translated into the following graph. The letter in each node is its name and the subscript digit is the heuristic value. All transitions have cost 1. Make the following assumptions: i. All the Algorithms do not generate paths with loops ii. Nodes are selected in alphabetical order when the algorithm finds a tie iii. A node is visited when that node is at the front of the search queue. Write the sequence of nodes in the order visited by the specified methods. a. Depth-First search b. Breath-First search c. A search. In addition to the sequence of nodes visited, you are to attach the estimated total cost f(s) = g(s)+h(s) for each node visited and return the final path found and its length. 5. Consider the problem of moving a knight on a 3x4 board, with start and goal states labelled as S A S. H D, K A h C B. GF F D, F and G. The search space can be translated into the following graph. The letter in each node is its name and the subscript digit is the heuristic value. All transitions have cost 1. Make the following assumptions: i. All the Algorithms do not generate paths with loops ii. Nodes are selected in alphabetical order when the algorithm finds a tie iii. A node is visited when that node is at the front of the search queue. Write the sequence of nodes in the order visited by the specified methods. a. Depth-First search b. Breath-First search c. A search. In addition to the sequence of nodes visited, you are to attach the estimated total cost f(s) = g(s)+h(s) for each node visited and return the final path found and its length.