Longest Increasing Subsequences 题目连接: https://www.codechef.com/SNCKPA16/problems/MAKELIS Description 大厨最近了解了经典的最长上升子序列问题.然而,大厨发现,虽然最长上升子序列的长度 是唯一的,但子序列本身却不一定唯一.比如,序列 [1, 3, 2, 4] 的最长上升子序列有两个:[1, 3, 4] 和 [1, 2, 4]. 大厨在这个方向上多做了些研究,然后提出了下面的这个问题: 给定 K,输出…

一.本文内容 最长递增子序列的两种动态规划算法实现,O(n^2)及O(nlogn).     二.问题描述 最长递增子序列:给定一个序列,从该序列找出最长的 升序/递增 子序列. 特点:1.子序列不要求连续: 2.子序列在原序列中按严格(strictly)升序排序: 3.最长递增子序列不唯一.   注:下文最长递增子序列用缩写LIS表示.   example: 0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15   对应的LIS: 0, 2,…

求最长上升子序列方案数. 转载自:http://blog.csdn.net/u013445530/article/details/47958617,如造成不便,请博主联系我. 数组A包含N个整数(可能包含相同的值).设S为A的子序列且S中的元素是递增的,则S为A的递增子序列.如果S的长度是所有递增子序列中最长的,则称S为A的最长递增子序列(LIS).A的LIS可能有很多个.例如A为:{1 3 2 0 4},1 3 4,1 2 4均为A的LIS.给出数组A,求A的LIS有多少个.由于数量很大,输出…

题意 给定$n$个数,求最长上升子序列的方案数 根据数据范围要求是$O(n\log n)$ 朴素的dp方程式$f_i=max(f_j+1),a_i>a_j$,所以记方案数为$v_i$,则$v_i=v_i+v_j,(f_i=f_j+1)$,利用lis的$O(n\log n)$树状数组做法同时维护长度和方案数 从通酱博客里还看到更详尽的解释:stackoverflow 时间复杂度$O(n\log n)$ 代码 #include <bits/stdc++.h> using namespace…

标签: 动态规划 描述: Given a sequence of integers, find the longest increasing subsequence (LIS). You code should return the length of the LIS. Clarification What's the definition of longest increasing subsequence? The longest increasing subsequence problem…

Longest Increasing Subsequence Given an unsorted array of integers, find the length of longest increasing subsequence. Example: Input: [10,9,2,5,3,7,101,18] Output: 4 Explanation: The longest increasing subsequence is [2,3,7,101], therefore the lengt…

［抄题］: Given an unsorted array of integers, find the number of longest increasing subsequence. Example 1: Input: [1,3,5,4,7] Output: 2 Explanation: The two longest increasing subsequence are [1, 3, 4, 7] and [1, 3, 5, 7]. Example 2: Input: [2,2,2,2,2]…

原题链接在这里:https://leetcode.com/problems/number-of-longest-increasing-subsequence/description/ 题目: Given an unsorted array of integers, find the number of longest increasing subsequence. Example 1: Input: [1,3,5,4,7] Output: 2 Explanation: The two longe…

Given an unsorted array of integers, find the number of longest increasing subsequence. Example 1: Input: [1,3,5,4,7] Output: 2 Explanation: The two longest increasing subsequence are [1, 3, 4, 7] and [1, 3, 5, 7]. Example 2: Input: [2,2,2,2,2] Outpu…

[LeetCode]673. Number of Longest Increasing Subsequence 解题报告(Python) 标签(空格分隔): LeetCode 题目地址:https://leetcode.com/problems/number-of-longest-increasing-subsequence/description/ 题目描述: Given an unsorted array of integers, find the number of longest inc…