Why it matters

Multidim range queries appear in GIS + graphics.

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The architecture

Recursive: check current dim; recurse in relevant half or both.

KD-tree range queryTraverserecursivelyPruneoutside rangeReportpoints in rangeCurse of dimensionality: efficiency degrades above ~20 dims
Range query approach.
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How it works end to end

Range: recurse; prune if no overlap.

Nearest neighbor: priority queue-based.

Best for low-dim (2-3D).

High dims: use LSH or ball trees.