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三分法不一定成立,不是单峰函数

Posted by SevenR at 2019-07-01 09:40:22 on Problem 3301 and last updated at 2019-07-01 09:41:27
In Reply To:如何证明三分法成立?此题为何是单峰函数? Posted by:bingshen at 2011-07-22 09:13:05
三分是错的
求出点集的凸包,用旋转卡壳求出O(n)个f(theta) = 平行线间距离可能改变单调性的点,则任意两个点之间f单调,g(theta) = max(f(theta),f(theta + 90°))^2是拟凸的,这样再三分(设k为三分次数),复杂度是T*n^2*k的。

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