| Document Date: 2004-09-14 03:56:52
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City Reading / / Company Vertex / Blockbuster / / Facility We store / / IndustryTerm important geometric algorithms / line segment intersection algorithm / incremental algorithm / nearest site / randomized incremental algorithm / sweep algorithm / search path / binary search / important applications / closest site / maximum search path / plane sweep algorithm / search tree / randomized search structure / search structure / plane-sweep algorithms / discussed point location algorithms / search time / line segment plane sweep algorithm / / Organization V(pj ) / V(pi ) / / Person Steven Fortune / / Technology sweep algorithm / line segment intersection algorithm / Sweep-line algorithm / plane sweep algorithm / randomized incremental algorithm / important geometric algorithms / time algorithm / already discussed point location algorithms / line segment plane sweep algorithm / incremental algorithm / plane-sweep algorithms / /
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contains q changes as a result of the ith insertion. Let Pi denote this probability (where the probability is taken over random insertion orders, irrespective of the choice of q). Since q could fall through up to three levels in the search tree as a result of each the insertion, the expected length of q’s search path in the final structure is at most