3. Consider the 8-puzzle problem. The start state and end stats are given in the following: (3x15=45 points) 1 4 5 3 2 6 7 8 Start state 1 2 3 4 5 6 7 8 Goal state d. Draw the BREADTH FIRST SEARCH tree e. Draw the DEPTH FIRST SEARCH tree f. Draw the DEPTH LIMITED SEARCH tree (expand to the depth 3)
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Now, let's draw the Breadth First Search (BFS) tree: BFS Tree: - The root node represents the start state. - Each level of the tree represents the next possible moves from the previous level. - The tree expands in a breadth-first manner, exploring all possible Show more…
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Find the spanning tree resulting from the depth-first search algorithm applied to the connected graph below, with the given ordering of vertices. List the vertices in the order they are added to the tree and sketch the resulting tree. Find the spanning tree resulting from the breadth-first search algorithm applied to the graph above; presenting the answer as in Problem 3.
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You are given below a state-space graph that consists of nine states, the costs of the connections between them, and a heuristic, h(n), for each state. Your task is to find a path from start state S to goal state F. In order to find a solution path, one can use a number of different search methods. In the following questions, you are to find the path from S to F that the search algorithm given in the question would yield. 1.1 Using Depth First Search algorithm, please present the path from start state to the goal state. Expand the successors of a node in alphabetical order (e.g., if a node has 3 successors, A, B, and C, then A will be expanded before B, and B will be expanded before C). Show the search tree to find this solution 1.2 Using Breadth First Search algorithm, please present the path from start state to the goal state. Expand the successors of a node in alphabetical order (e.g., if a node has 3 successors, A, B, and C, then A will be expanded before B, and B will be expanded before C). Show the search tree to find this solution 1.3 Using Greedy Algorithm, please present the path from start state to the goal state. Show the search tree to find this solution 1.4 Using A* search algorithm, please present the path from start state to the goal state. Find the search tree to find this solution.
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