求逆序对——Ultra-QuickSort 题解解析

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最新推荐文章于 2025-03-03 18:25:16 发布

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分类专栏：归并逆序对排序文章标签：归并排序逆序对题解 Ultra-QuickSort

本文链接：https://blog.youkuaiyun.com/sinat_30062549/article/details/47133335

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本文详细解析了Ultra-QuickSort算法在处理逆序对问题上的应用，通过实例展示了如何通过相邻元素交换操作将无序序列9 1 0 5 4 排序为0 1 4 5 9，并探讨了该算法在不同输入序列下的交换次数。

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Description

In this problem, you have to analyze a particular sorting algorithm. The algorithm processes a sequence of n distinct integers by swapping two adjacent sequence elements until the sequence is sorted in ascending order. For the input sequence

9 1 0 5 4 ,

Ultra-QuickSort produces the output

0 1 4 5 9 .

Your task is to determine how many swap operations Ultra-QuickSort needs to perform in order to sort a given input sequence.

Input

The input contains several test cases. Every test case begins with a line that contains a single integer n < 500,000 -- the length of the input sequence. Each of the the following n lines contains a single integer 0 ≤ a[i] ≤ 999,999,999, the i-th input sequence element. Input is terminated by a sequence of length n = 0. This sequence mus