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.
“A victory for life.” That was the triumphal message from Indigenous campaigners in the Brazilian Amazon this week after they staved off a threat to the Tapajós River by occupying a grain terminal operated by Cargill, the biggest privately owned company in the United States.
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