This is the same idea behind binary search. In a sorted array, you compare against the middle element and eliminate half the remaining candidates. In a quadtree, you choose one of four quadrants and ignore the other three regions. Each level narrows the search space by a factor of four instead of two.
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第四十一条 有下列行为之一的，处五日以上十日以下拘留，可以并处一千元以下罚款；情节较轻的，处五日以下拘留或者一千元以下罚款：