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The admissibility of a heuristic in problem-solving algorithms is determined by its ability to provide a lower bound estimate of the cost to reach the goal state without overestimating. A heuristic is considered admissible if it never overestimates the cost to reach the goal, ensuring that the algorithm will find the optimal solution.

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Q: What criteria determine the admissibility of a heuristic in problem-solving algorithms?
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What is an admissible heuristic example that can be used to guide search algorithms in finding optimal solutions?

An admissible heuristic example that can guide search algorithms in finding optimal solutions is the Manhattan distance heuristic. It calculates the distance between the current state and the goal state by summing the absolute differences in their coordinates. This heuristic is admissible because it never overestimates the actual cost to reach the goal.


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