poj 1458 Common Subsequence - 가장 긴 공통 하위 시퀀스

1977 단어 dppoj
Common Subsequence
Time Limit: 1000MS
 
Memory Limit: 10000K
Total Submissions: 46310
 
Accepted: 18996
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, x
ij = 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

, dp

#include <stdio.h>
#include <string.h>
#include <algorithm>
using namespace std;
int dp[1005][1005];
char s1[1005],s2[1005];
int main(){
	int i,j;
	while(~scanf("%s %s",&s1,&s2)){
		int l1 = strlen(s1);
		int l2 = strlen(s2);
		memset(dp,0,sizeof(dp));
		for(i=0;i<=l1;i++)
			dp[i][0]=0;
		for(j=0;j<=l2;j++)
			dp[0][j]=0;
		for(i=1;i<=l1;i++){
			for(j=1;j<=l2;j++){
				if(s1[i-1]==s2[j-1]){
					dp[i][j]=dp[i-1][j-1]+1;
				}
				else{
					dp[i][j]=max(dp[i-1][j],dp[i][j-1]);
				}
			}
		}
		printf("%d
",dp[l1][l2]); } return 0; }

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