The heuristic path algorithm (Pohl, HEURISTIC PATH 1977) is a best-first search in which the evaluation function

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The heuristic path algorithm (Pohl, HEURISTIC PATH 1977) is a best-first search in which the evaluation function is f(n) = (2 − w)g(n) + wh(n). For what values of w is this complete? For what values is it optimal, assuming that h is admissible? What kind of search does this perform for w = 0, w = 1, and w = 2?

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