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.
In separate but almost identical statements posted on their websites, Dyson and Leigh Day said the resolution was reached "in recognition of the expenses of litigation and the benefits of settlement".
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