Notice how the highlighted region shrinks at each step. The algorithm never examines points outside the narrowing window. In a balanced tree with nnn points, this takes about log4(n)\log_4(n)log4(n) steps. For a million points, that's roughly 10 steps instead of a million comparisons.
Eleanor LawsonWest Midlands
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If you use Google Cloud (or any of its services like Maps, Firebase, YouTube, etc), the first thing to do is figure out whether you're exposed. Here's how.