The quadtree is the two-dimensional case of a broader family of space-partitioning data structures. Octrees extend the same idea to three dimensions (splitting cubes into eight children), KD-trees use alternating axis-aligned splits (splitting along x, then y, then x again), and R-trees group nearby objects into bounding rectangles. Each variant makes different tradeoffs between construction time, query speed, and update cost.
As part of the investment, OpenAI is launching significant infrastructure partnerships with both Amazon and Nvidia. As in previous rounds, it is likely that a significant portion of the dollar amount comes in the form of services rather than cash, although the precise split was not disclosed.
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# Score all pairs (~65s, 235,625 comparisons)
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