Common Subsequence

2018-06-17 22:12:31来源:未知 阅读 ()

新老客户大回馈,云服务器低至5折

Time Limit: 1000MS   Memory Limit: 10000K
Total Submissions: 53247   Accepted: 22084

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

Southeastern Europe 2003
 
用dp[n][m]表示第一个喘选到n,第二个串选到m
 
 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cstring>
 4 #include<cmath>
 5 #include<algorithm>
 6 using namespace std;
 7 const int MAXN=601;
 8 const int maxn=0x7fffff;
 9 char a[MAXN];
10 char b[MAXN];
11 int dp[MAXN][MAXN];
12 int la,lb;
13 int main()
14 {
15     while(~scanf("%s%s",a,b))
16     {
17         la=strlen(a);
18         lb=strlen(b);
19         memset(dp,0,sizeof(dp));
20         //dp[0][0]=1;
21         for(int i=1;i<=la;i++)
22         {
23             for(int j=1;j<=lb;j++)
24             {
25                 
26                 if(a[i-1]==b[j-1])
27                     dp[i][j]=max(dp[i][j],dp[i-1][j-1]+1);
28                 else dp[i][j]=max(dp[i-1][j],dp[i][j-1]);
29             }
30         }
31         printf("%d\n",dp[la][lb]);
32     }
33     return 0;
34 }

 

标签:

版权申明:本站文章部分自网络,如有侵权,请联系:west999com@outlook.com
特别注意:本站所有转载文章言论不代表本站观点,本站所提供的摄影照片,插画,设计作品,如需使用,请与原作者联系,版权归原作者所有

上一篇:欧拉函数线性筛法

下一篇:欧拉筛素数