题目链接:http://acm.csu.edu.cn/csuoj/problemset/problem?pid=1551 题意: 给出一段序列, 删除其中一段连续的子序列(或者不删), 使得剩下的序列的最长上升连续子序列最大. 题解: 1.对于要删除的的子序列而言,要么夹在答案序列中间,要么在外面(删与不删对答案都没影响).所以总体而言,答案序列被分成左右两半. 2.用SL[i]记录从左边起以a[i]为结尾的最长上升连续子序列的长度, SR记录从右边起以a[i]为开始的最长上升连续子序列的长度.…

题目链接:http://acm.csu.edu.cn/csuoj/problemset/problem?pid=1551 升级版:Uva 1471 题意: 让你求删除一段连续的子序列之后的LIS. 题解: 预处理:先求一个last[i],以a[i]为开始的合法最长上升子序列的长度.再求一个pre[i],以a[i]为结尾的合法最长上升子序列长度. 答案应该为 max(以j结束的合法最长上升子序列长度) + 以a[i]为开始的合法最长上升子序列长度. 其中j<a[i]. 1)通过树状数组维护区间最值…

预处理last[i]表示以第i个开始,的合法后缀. pre[i]表示以第i个结尾,的合法前缀. 那么每一个数a[i],肯定是一个合法后缀last[i] + 一个合法前缀,那么合法前缀的数字要小于a[i],并且最大,bit维护小于等于val的最大值即可. #include <cstdio> #include <cstdlib> #include <cstring> #include <cmath> #include <algorithm> #inc…

1551: Longest Increasing Subsequence Again Time Limit: 2 Sec  Memory Limit: 256 MBSubmit: 75  Solved: 52 Description Give you a numeric sequence. If you can demolish arbitrary amount of numbers, what is the length of the longest increasing sequence,…

题目链接:https://vjudge.net/problem/FZU-2013  Problem 2013 A short problem Accept: 356    Submit: 1083Time Limit: 1000 mSec    Memory Limit : 32768 KB  Problem Description The description of this problem is very short. Now give you a string(length N), an…

Longest Increasing Subsequence(LIS) 一个美丽的名字 非常经典的线性结构dp [朴素]:O(n^2) d(i)=max{0,d(j) :j<i&&a[j]<a[i]}+1 直接两个for [二分查找优化]:O(n^2) g(i):d值为i的最小的a  每次更新然后lower_bound即可 ［大于等于］ lower_boundReturn iterator to lower bound Returns an iterator pointing…

传送门 The task is to find the length of the longest subsequence in a given array of integers such that all elements of the subsequence are sorted in ascending order. For example, the length of the LIS for { 15, 27, 14, 38, 26, 55, 46, 65, 85 } is 6 and…

Another Longest Increasing Subsequence Problem Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://acm.hust.edu.cn/vjudge/problem/visitOriginUrl.action?id=19929 Description Given a sequence of N pairs of integers, find the length of the longest incre…

在 Dynamic Programming | Set 1 (Overlapping Subproblems Property) 和 Dynamic Programming | Set 2 (Optimal Substructure Property) 中我们已经讨论了重叠子问题和最优子结构性质,现在我们来看一个可以使用动态规划来解决的问题:最长上升子序列(Longest Increasing Subsequence(LIS)). 最长上升子序列问题,致力于在一个给定的序列中找到一个最长的子序列…

Given an unsorted array of integers, find the length of longest increasing subsequence. For example, Given [10, 9, 2, 5, 3, 7, 101, 18], The longest increasing subsequence is [2, 3, 7, 101], therefore the length is 4. Note that there may be more than…