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.
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圖像來源，BBC Chinese / Lok Lee，这一点在爱思助手下载最新版本中也有详细论述
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