Problem C: Longest Common Subsequence Sequence 1: Sequence 2: Given two sequences of characters, print the length of the longest common subsequence of both sequences. For example, the longest common subsequence of the following two sequences: abcdgh…

最长公共子序列,经典问题.算是我的DP开场题吧. dp[i][j]表示到s1的i位置,s2的j位置为止,前面最长公共子序列的长度. 状态转移: dp[i][j] = 0                                       (i == 0 || j == 0) dp[i][j] = dp[i-1][j-1] + 1                   (s1[i] == s2[j]) (此字符相等,说明此时最长公共子序列的长度等于他们之前的LCS(简称)长度加上这个相等的字…

题目链接:https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=16&page=show_problem&problem=1346 Dynamic programming 需要注意的是input里可能含有空行,一行空行也是一个string,所以如果用scanf("%s", string)是不能把空行存进string变量里的.需要用gets或者getli…

Given two strings, find the longest common subsequence (LCS). Your code should return the length of LCS. Example For "ABCD" and "EDCA", the LCS is "A" (or "D", "C"), return 1. For "ABCD" and &quo…

问题 说明该问题在生物学中的实际意义 Biological applications often need to compare the DNA of two (or more) different organisms. A strand of DNA consists of a string of molecules called bases, where the possible bases are adenine, guanine, cytosine, and thymine(腺嘌呤,鸟嘌…

This is the classic LCS problem. Since it only requires you to print the maximum length, the code can be optimized to use only O(m) space (see here). My accepted code is as follows. #include <iostream> #include <string> #include <vector>…

The Longest Common Subsequence (LCS) problem is as follows: Given two sequences s and t, find the length of the longest sequence r, which is a subsequence of both s and t. Do you know the difference between substring and subequence? Well, substring i…

1. 问题描述 子串应该比较好理解,至于什么是子序列,这里给出一个例子:有两个母串 cnblogs belong 比如序列bo, bg, lg在母串cnblogs与belong中都出现过并且出现顺序与母串保持一致,我们将其称为公共子序列.最长公共子序列(Longest Common Subsequence, LCS),顾名思义,是指在所有的子序列中最长的那一个.子串是要求更严格的一种子序列,要求在母串中连续地出现.在上述例子的中,最长公共子序列为blog(cnblogs, belong),最长公…

最长公共子序列 英文缩写为LCS(Longest Common Subsequence).其定义是,一个序列 S ,如果分别是两个或多个已知序列的子序列,且是所有符合此条件序列中最长的,则 S 称为已知序列的最长公共子序列.而最长公共子串(要求连续)和最长公共子序列是不同的 应用 最长公共子序列是一个十分实用的问题,它可以描述两段文字之间的“相似度”,即它们的雷同程度,从而能够用来辨别抄袭.对一段文字进行修改之后,计算改动前后文字的最长公共子序列,将除此子序列外的部分提取出来,这种方法判断修改的…

''' merge two configure files, basic file is aFile insert the added content of bFile compare to aFile for example, 'bbb' is added content ----------------------------------------------------------- a file content | b file content | c merged file cont…