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So I have the following question in my midterm review and I'm not really sure how to go about it, it's the only one I couldn't figure out. The notation we used in class is that f(n) = g(n) + h(n)

  • g(n): Cost from start to current
  • h(n): Estimated cost from current to goal, given heuristic
  • C*: Optimal cost from start to goal

I know it has something to do with the fact that the heuristic is consistent and this property:

If an instance of A* uses a consistent heuristic, then A* will expand every node n for which f(n) < C*.

Any help would be greatly appreciated.

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A. Boy
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