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2018HDU多校2-1010-Swaps and Inversions(hdu 6318)-逆序数,树状数组
阅读量:281 次
发布时间:2019-03-01

本文共 295 字,大约阅读时间需要 1 分钟。

数列处理问题:最小花费计算方法

在处理数列时,可以选择两种方式:每次交换相邻元素花费y元,或者处理每个逆序数花费x元。目标是找到最小的总花费。

关键思路是分析交换次数对逆序数的影响。交换一次相邻元素最多只能减少一个逆序数,因此可能存在两种情况:全部交换或不交换。这种情况下,只需计算逆序数总数即可决定选择哪种方式。

使用树状数组高效计算逆序数。将数列从大到小排序,记录每个数出现的位置。每次选最大数,若前面有其他数,则有逆序数。累加这些逆序数得到总数。

代码实现了这一思路,计算逆序数后,比较两种花费方式,取较小值输出。

改进空间包括更复杂的交换策略,但目前的方法在时间复杂度上已足够高效。

转载地址:http://daco.baihongyu.com/

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