A quadtree does the same thing for two-dimensional space. It takes a rectangular region and divides it into four equal quadrants: northwest, northeast, southwest, southeast. If a quadrant has too many points in it, it subdivides again and again. Each subdivision creates smaller and smaller cells where points are densely packed.
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By pushing side effects to the edges and keeping our core logic pure, we gain a deterministic and secure execution trace. As a result, debugging shifts from guessing what might have happened to watching exactly what did happen, all without compromising user privacy.
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