标签:poj 1458 common subsequence 最长公共子序列 a subsequence of a g
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.
Input
The program input is from the std input. Each data set in the input contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct.
Output
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 abfcab programming contest abcd mnp Sample Output 4 2 0 Source |
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DP.
#include<iostream> #include<cstdio> #include<algorithm> #include<cstring> #include<string> using namespace std; int const N=500; int dp[N][N]; string a,b; int main() { while(cin>>a>>b) { int n=a.length(),m=b.length(); memset(dp,0,sizeof(dp)); for(int i=1;i<=n;i++) for(int j=1;j<=m;j++) { if(a[i-1]==b[j-1]) dp[i][j]=dp[i-1][j-1]+1; else dp[i][j]=max(dp[i-1][j],dp[i][j-1]); } cout<<dp[n][m]<<endl; } return 0; }
POJ 1458 Common Subsequence.(最长公共子序列),布布扣,bubuko.com
POJ 1458 Common Subsequence.(最长公共子序列)
标签:poj 1458 common subsequence 最长公共子序列 a subsequence of a g
原文地址:http://blog.csdn.net/darwin_/article/details/26370091