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

 

Source

 

记忆化和DP均能够，通过两个串合成第三个串。顺序不变。

记忆化：

#include
      
       #include
       
        #include
        
         #include
         
          #include
          
           typedef long long LL;using namespace std;const int maxn=220;char s1[maxn],s2[maxn],s[maxn<<1];int dp[maxn][maxn];int len,len1,len2;int t;int dfs(int i,int j,int k){   if(k==len)      return 1;   if(dp[i][j])        return 0;   dp[i][j]=1;   if(s1[i]==s[k])   {       if(dfs(i+1,j,k+1))        return 1;   }   if(s2[j]==s[k])   {       if(dfs(i,j+1,k+1))        return 1;   }   return 0;}int main(){    int l=0;    scanf("%d",&t);    while(t--)    {         scanf("%s%s%s",s1,s2,s);         len1=strlen(s1);         len2=strlen(s2);         len=strlen(s);         memset(dp,0,sizeof(dp));         if(dfs(0,0,0))            printf("Data set %d: yes\n",++l);         else            printf("Data set %d: no\n",++l);    }    return 0;}
          
         
        
       
      

DP:

#include
      
       #include
       
        #include
        
         #include
         
          #include
          
           using namespace std;const int maxn=220;char s1[maxn],s2[maxn],s[maxn<<1];int dp[maxn][maxn];int main(){    int t;    int l=0;    scanf("%d",&t);    getchar();    while(t--)    {        scanf("%s%s%s",s1+1,s2+1,s+1);        int len1=strlen(s1+1);        int len2=strlen(s2+1);        int len=strlen(s+1);        memset(dp,0,sizeof(dp));        dp[0][0]=1;        for(int i=0;i<=len1;i++)        {           for(int j=0;j<=len2;j++)           {               if(i==0&&j==0)                  continue;               if(s[i+j]==s1[i]&&i&&dp[i-1][j])                  dp[i][j]=1;               if(s[i+j]==s2[j]&&j&&dp[i][j-1])                  dp[i][j]=1;           }        }        if(dp[len1][len2])           printf("Data set %d: yes\n",++l);        else           printf("Data set %d: no\n",++l);    }    return 0;}