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Complexity 101 and the P-NP question

Anyone working with computer algorithms sometimes has to reflect on the question what the complexity of that algorithm is. Last week I tortured my poor laptop by letting it crunch away the whole night on a planning problem using A* with the \(h_{max}\) heuristic, only to find that upon waking up 1) the cpu heat was quite critical and 2) that the search space exploded and the program did not terminate.

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