poj 2192 Zipper

题目链接：http://poj.org/problem?id=2192

Zipper

Time Limit: 1000MS Memory Limit: 65536K

Total Submissions: 17549 Accepted: 6242

Description

Given three strings, you are to determine whether the third string can be formed by combining the characters in the first two strings. The first two strings can be mixed arbitrarily, but each must stay in its original order.

For example, consider forming “tcraete” from “cat” and “tree”:

String A: cat

String B: tree

String C: tcraete

As you can see, we can form the third string by alternating characters from the two strings. As a second example, consider forming “catrtee” from “cat” and “tree”:

String A: cat

String B: tree

String C: catrtee

Finally, notice that it is impossible to form “cttaree” from “cat” and “tree”.

Input

The first line of input contains a single positive integer from 1 through 1000. It represents the number of data sets to follow. The processing for each data set is identical. The data sets appear on the following lines, one data set per line.

For each data set, the line of input consists of three strings, separated by a single space. All strings are composed of upper and lower case letters only. The length of the third string is always the sum of the lengths of the first two strings. The first two strings will have lengths between 1 and 200 characters, inclusive.

Output

For each data set, print:

Data set n: yes

if the third string can be formed from the first two, or

Data set n: no

if it cannot. Of course n should be replaced by the data set number. See the sample output below for an example.

Sample input

3

cat tree tcraete

cat tree catrtee

cat tree cttaree

**Sample output**t

Data set 1: yes

Data set 2: yes

Data set 3: no

dp[ i ][ j ] 表示从s1中取第i个字符，从s2中取第j个字符来组成s3，0不可以组成，1可以组成。

代码：

#include <cstdio>
#include <algorithm>
#include <cstring>
#include <iostream>
using namespace std;
char s1[500],s2[500],s3[500];
int dp[500][500];
int main (void)
{
int t;
cin>>t;
int ans=1;
while(t--)
{
int le1,le2,le3;
scanf("%s",s1+1);
scanf("%s",s2+1);
scanf("%s",s3+1);
le1=strlen(s1+1);
le2=strlen(s2+1);
le3=strlen(s3+1);
memset(dp,0,sizeof(dp));
for(int i=1;i<=le1;i++)
{
if(s1[i]==s3[i])
dp[i][0]=1;
else
break;
}
for(int i=1;i<=le2;i++)
{
if(s2[i]==s3[i])
{
dp[0][i]=1;
}
else
break;
}
int i,j;
for( i=1;i<=le1;i++)
{
for( j=1;j<=le2;j++)
{
if(s3[i+j]==s1[i]&&dp[i-1][j])
dp[i][j]=1;
if(s3[i+j]==s2[j]&&dp[i][j-1])
dp[i][j]=1;
}
//printf("%d %d %d\n",dp[i][j],i,j);
//printf("%d_____%d %d\n",dp[le1][le2],le1,le2);
}
printf("Data set %d: ",ans++);
if(dp[le1][le2])
printf("yes\n");
else
printf("no\n");
}
return 0;
}