Given an integer array, return the k-th smallest distance among all the pairs. The distance of a pair (A, B) is defined as the absolute difference between A and B. Example 1: Input: nums = [1,3,1] k = 1 Output: 0 Explanation: Here are all the pairs:…

Given an integer array, return the k-th smallest distance among all the pairs. The distance of a pair (A, B) is defined as the absolute difference between A and B. Example 1: Input: nums = [1,3,1] k = 1 Output: 0 Explanation: Here are all the pairs:…

Given an integer array, return the k-th smallest distance among all the pairs. The distance of a pair (A, B) is defined as the absolute difference between A and B. Example 1: Input: nums = [1,3,1] k = 1 Output: 0 Explanation: Here are all the pairs:…

题目如下: 解题思路:对于这一类知道上限和下限,求第N位是什么的题目,可以先看看二分查找的方法可不可行.首先对nums进行排序,很显然任意两个元素距离绝对值最小是0,最大是nums[-1] - nums[0],所以第N小的距离肯定在 0 ~ (nums[-1] - nums[0]) 之间.采用二分查找的话,题目就变成了输入一个数值n,判断是不是第N小的距离.怎么判断n是否是第N小的距离呢?因为nums是有序的,对于nums[i]来说,只要找到(n + nums[i]) 在nums中所处的位置,设…

Given an integer array, return the k-th smallest distance among all the pairs. The distance of a pair (A, B) is defined as the absolute difference between A and B. Example 1: Input: nums = [1,3,1] k = 1 Output: 0 Explanation: Here are all the pairs:…

题目如下: 解题思路:几乎和[leetcode]719. Find K-th Smallest Pair Distance 的方法一样.只不过一个是减法一个是乘法,还有一点区别是[leetcode]719. Find K-th Smallest Pair Distance中i-j和j-i只算一个元素,而本题中i*j与j*i算两个元素. 代码如下: class Solution(object): def findKthNumber(self, m, n, k): """ :ty…

一.寻找两个有序数组的中位数 1.1 问题描述 给定两个大小为 m 和 n 的不同时为空的有序数组 nums1 和 nums2.找出这两个有序数组的中位数,并且要求算法的时间复杂度为 O(log(m + n)). 1.2 算法分析 题目要求的时间复杂度是 O(log(m + n)),要产生这样级别的时间复杂度只有采用二分查找法,用分治递归的思路来考虑这个问题. 需要转换题目中求中位数的问题为求第 k 小数的问题.如果 m + n 是奇数,那么寻找第 k = (m + n)/2 + 1 小的数即可…

这次主要是讲如何在线性时间下找n个元素的未排序序列中第k小的数.当然如果\(k=1 or k=n\),即找最大最小 数,线性时间内遍历即可完成,当拓展到一般,如中位数时,相关算法就值得研究了.这里还要说明的是,排序解 决是一种平凡算法,但其复杂度是\(\Theta(nlogn)\) 这次内容的主要知识点有:1.随机化版本的分治法求解&分析  2.基于1的优化pivot选择的算法&分析   1.随机化版本的分治法求解与分析 首先,要明确的是现在我们要解决的问题是求解n元素序列的第k小数 这种…

In combinatorial mathematics, a derangement is a permutation of the elements of a set, such that no element appears in its original position. There's originally an array consisting of n integers from 1 to n in ascending order, you need to find the nu…

Nearly every one have used the Multiplication Table. But could you find out the k-th smallest number quickly from the multiplication table? Given the height m and the length n of a m * nMultiplication Table, and a positive integer k, you need to retu…