为什么堆排比快排慢 - km的小天地 - ITeye技术网站



为什么堆排比快排慢 - km的小天地 - ITeye技术网站

2,为什么堆排比快排慢

回顾一下堆排的过程:
(1). 建立最大堆(堆顶的元素大于其两个儿子,两个儿子又分别大于它们各自下属的两个儿子… 以此类推)
(2). 将堆顶的元素和最后一个元素对调(相当于将堆顶元素(最大值)拿走,然后将堆底的那个元素补上它的空缺),然后让那最后一个元素从顶上往下滑到恰当的位置(重新使堆最大化)。
(3). 重复第2步。
这里的关键问题就在于第2步,堆底的元素肯定很小,将它拿到堆顶和原本属于最大元素的两个子节点比较,它比它们大的可能性是微乎其微的。实际上它肯定小于其中的一个儿子。而大于另一个儿子的可能性非常小。于是,这一次比较的结果就是概率不均等的,根据前面的分析,概率不均等的比较是不明智的,因为它并不能保证在糟糕情况下也能将问题的可能性削减到原本的1/2。可以想像一种极端情况,如果a肯定小于b,那么比较a和b就会什么信息也得不到――原本剩下多少可能性还是剩下多少可能性。

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