Closest Pair of Points
GeometryHardDivide and conquer coordinate bounds checks.
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Closest Pair Sweep-line visualizer
We are preparing interactive sweep-line overlays and strip dividers coordinates checking. Full animations coming soon!
Time Complexity
O(N log N) divide and conquer
Space Complexity
O(N) recursion stack memory
Conceptual Overview
The Closest Pair of Points problem finds the pair of coordinates in a 2D plane that has the minimum Euclidean distance between them.
Mathematical Formula
d = \min_{i \ne j} \sqrt{(x_i - x_j)^2 + (y_i - y_j)^2}
Source: CP-Algorithms geometry reference