Iterative A* search and iterative deepening A* search are related concepts, but they are not exactly the same. Let me explain both concepts and provide you with a simple Python implementation for each. 1. **Iterative A* Search:** Iterative A* search is an improvement over the traditional A* search algorithm. A* (A-star) search is a popular graph traversal and pathfinding algorithm that efficiently finds the shortest path between two points on a graph. Iterative A* search is an enhancement to the A* algorithm where it uses an iterative deepening approach to improve its performance. Here's a simplified Python implementation of Iterative A* Search: ```python def iterative_a_star_search(graph, start, goal): max_depth = 0 while True: result = a_star_search(graph, start, goal, max_depth) if result is not None: return result max_depth += 1 def a_star_search(graph, start, goal, max_depth): # Your A* search implementation goes here # Use max_depth as a limit for the depth of the search # Return the result or None if no path is found within the given depth # Example usage: # result = iterative_a_star_search(graph, start_node, goal_node) ``` 2. **Iterative Deepening A* Search:** Iterative Deepening A* search is a combination of the Iterative Deepening Depth-First Search (IDDFS) and A* search algorithms. It repeatedly performs depth-limited searches, gradually increasing the depth limit until a solution is found. Here's a simplified Python implementation of Iterative Deepening A* Search: ```python def iterative_deepening_a_star_search(graph, start, goal): depth_limit = 0 while True: result = a_star_search(graph, start, goal, depth_limit) if result is not None: return result depth_limit += 1 def a_star_search(graph, start, goal, depth_limit): # Your A* search implementation goes here # Use depth_limit as a limit for the depth of the search # Return the result or None if no path is found within the given depth # Example usage: # result = iterative_deepening_a_star_search(graph, start_node, goal_node)