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2Suppose you are trying to find directions from point A to B, the optimal distance for which is d. Dijkstra's algorithm will, at the very least, examine all points at distance at most d from A. If A is San Francisco and B is Boston, this means it examines most of the US. N'est-ce pas?– A. RexCommented Jan 10, 2009 at 1:04
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2Yes, it is. What I wanted to get at is that A* can be used instead and that it always finds an optimal solution (even though it uses a heuristic)!– Konrad RudolphCommented Jan 10, 2009 at 10:43
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Yes, of course. After I wrote my original post, I thought about the word "heuristic" that I used. It's a bit inaccurate here, because it does find an optimal solution.– A. RexCommented Jan 10, 2009 at 15:52
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2Well, the point is that A* uses a heuristic (as opposed to being one) to determine the next step. This one decision can indeed be suboptimal. But it only affects runtime, not the result, since it only determines how much better than Dijstra it guesses.– Konrad RudolphCommented Jan 10, 2009 at 20:28
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