HDU 1501

Zipper



Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)

Total Submission(s): 7813    Accepted Submission(s): 2765



Problem 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

Data set 1: yes

Data set 2: yes

Data set 3: no

//本题主要思路依据第三个字符串dnf搜索从前两个字符串中查找，查找到的字符放入数组res中。当res与第三个字符串相等时搜索结

//束

#include <stdio.h>
#include <string.h>
char ss[420];
char s1[210];
char s2[210];
char res[420];
bool vis[210][210];   //用数组记录非常重要不然会超时
int flag,cnt,len1,len2;
void dfs(int ini,int init)
{
    if(vis[ini][init]) return;
    vis[ini][init]=1;
    if(strcmp(res,ss)==0)
    {
        flag=1;
        return;
    }
    else
    {
            if(s1[ini]==ss[cnt])  //当搜索到与第三字符串中的字符相等时记录下字符再递归搜索
            {
                res[cnt++]=s1[ini];
                dfs(ini+1,init);
                cnt--;
                if(flag)
                    return;
            }
         if(s2[init]==ss[cnt])
            {
                res[cnt++]=s2[init];
                dfs(ini,init+1);
                cnt--;
                if(flag)
                    return;

            }
    }
}

int main()
{
    int n;
    int cnt1=1;
    scanf("%d",&n);
    getchar();
    while(n--)
    {
        scanf("%s%s%s",s1,s2,ss);
        len1=strlen(s1);
        len2=strlen(s2);
        cnt=flag=0;
        memset(res,'\0',sizeof(res));  //我调试了快半个小时了，才发现假设用0的话数组不能全然清空
        memset(res,0,sizeof(vis));
        dfs(0,0);
        printf("Data set %d:",cnt1++);
        if(flag)
            printf(" yes\n"); //注意空格
        else
            printf(" no\n");
    }
    return 0 ;
}