You are designing a pathfinding agent for a grid-based maze where diagonal movem...
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You are designing a pathfinding agent for a grid-based maze where diagonal movement is allowed (cost ) and straight movement cost is 1. You propose using the Manhattan Distance () as a heuristic for the A* algorithm.
Task: 1. Determine if this heuristic is admissible. Prove your answer mathematically or by providing a counter-example. 2. Explain what happens to the optimality of the A* algorithm if we multiply this heuristic by a factor of 2 (i.e.,
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