[ACM]Common Subsequence
来源:互联网 发布:剑灵捏脸数据人女图片 编辑:程序博客网 时间:2024/05/17 10:43
Problem Description
A subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence X = <x1, x2, ..., xm> another sequence Z = <z1, z2, ..., zk> is a subsequence of X if there exists a strictly increasing sequence <i1, i2, ..., ik> of indices of X such that for all j = 1,2,...,k, xij = zj. For example, Z = <a, b, f, c> is a subsequence of X = <a, b, c, f, b, c> with index sequence <1, 2, 4, 6>. Given two sequences X and Y the problem is to find the length of the maximum-length common subsequence of X and Y.
The program input is from a text file. Each data set in the file contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct. For each set of data the program prints on the standard output the length of the maximum-length common subsequence from the beginning of a separate line.
The program input is from a text file. Each data set in the file contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct. For each set of data the program prints on the standard output the length of the maximum-length common subsequence from the beginning of a separate line.
Sample Input
abcfbc abfcabprogramming contest abcd mnp
Sample Output
420
解题思路:
横竖两轴分别为两字符串中的字符,其中里面的数字均是0,代码中有体现。然后从左上角填数字,对应位置如果有相同的字符,则本位置的数字等于相邻左上角的数字加1;
即当 s1[i]== s2 [j] 时, a[i][j]= a[i-1][j-1]+1 ,对应位置如果没有相同的字符,本位置的数字等于相邻左,上位置数字的最大值,即s1[i] != s2[j]时, a[i][j]= max(a[i-1] [j], a[i] [j-1]),一直计算到,a[s1.length()] [ s2.length()] 位置,即为答案。
辅助图:
代码:
#include <iostream>#include <string>#define max 1000using namespace std;int a[max][max];int max1(int x,int y){ int m; m=x>y?x:y; return m;}//返回两个数最大值的函数int main(){ string s1,s2; while(cin>>s1>>s2) { int i,j; for(i=0;i<=s1.length();i++) a[i][0]=0; for(i=0;i<=s2.length();i++) a[0][i]=0;//a数组上边左边数据初始化为0 for(i=1;i<=s1.length();i++) for(j=1;j<=s2.length();j++) { if(s1[i-1]==s2[j-1]) a[i][j]=a[i-1][j-1]+1; else a[i][j]=max1(a[i-1][j],a[i][j-1]); } cout<<a[s1.length()][s2.length()]<<endl; }}
运行截图:
- [ACM]Common Subsequence
- [ACM]Common Subsequence
- Pku acm 1458 Common Subsequence
- 北大ACM 1458Common Subsequence
- ACM POJ 1458 Common Subsequence
- Pku acm 1458 Common Subsequence 题意分析
- HDOJ 1159 Common Subsequence 杭电 ACM
- 杭电 HDU ACM 1159 Common Subsequence
- Pku acm 1458 Common Subsequence 动态规划解析
- ACM-DP之Common Subsequence——HDU1159
- ACM程序设计选修课——1018: Common Subsequence
- 杭电acm 1159Common Subsequence(字符串处理+dp)
- Common Subsequence
- Common Subsequence
- Common Subsequence
- Common Subsequence
- Common Subsequence
- Common Subsequence
- 互联网的色彩心理学
- spring side
- 解决ubuntu中vi不能正常使用方向键与退格键的问题?
- DownloadManager下载管理类2.3新增API介绍
- 英文半字节压缩编码技术
- [ACM]Common Subsequence
- Ubuntu vi 方向键出现字母问题解决方法
- github的使用
- Qt4 设置QTableWidget鼠标滑过的颜色
- face animation: a survey.
- 用户界面(UI)设计的20条原则
- Oracle开发专题之:分析函数(OVER)用法
- PHP数据库连接代码
- Android 中加载网络资源时的优化 缓存和异步机制