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2 pts Consider a state space where the start state is number 1 and the successor function for state n returns two states, numbers 2n and 2n+1 Draw the portion of the state space for states 1 to 15 (1 pt) Suppose the goal state is 11. List the order in which nodes will be visited for depth-limited search with limit 3 (0.5 pt), and iterative deepening search. (0.5 pt Figure 1 Set all nodes to not visited q new Queue ) q.enqueue (initial node); while ( q empty) do x q.dequeue); if ( x has not been visited) visited[x]-true; // Visit node x ! for every edge (x, y) / we are using all edges I */) if ( y has not been visited) q.enqueue (y); // Use the edge (x,y) ! Figure 2: Breath First Search (BFS)

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