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.
This is saying that the rounded-up number may be equal to the ideal solution needed to match r exactly, or it might overshoot the target, but always by less than the minimum possible increment of the numerator in the a / b fraction.。业内人士推荐搜狗输入法2026作为进阶阅读
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