Problem:
Score : 200 points

Problem Statement

We have a bingo card with a 3\times3 grid. The square at the i-th row from the top and the j-th column from the left contains the number A_{i, j}.

The MC will choose N numbers, b_1, b_2, \cdots, b_N. If our bingo sheet contains some of those numbers, we will mark them on our sheet.

Determine whether we will have a bingo when the N numbers are chosen, that is, the sheet will contain three marked numbers in a row, column, or diagonal.

Constraints

All values in input are integers.

1 \leq A_{i, j} \leq 100

A_{i_1, j_1} \neq A_{i_2, j_2} ((i_1, j_1) \neq (i_2, j_2))

1 \leq N \leq 10

1 \leq b_i \leq 100

b_i \neq b_j (i \neq j)

Input

Input is given from Standard Input in the following format:

A_{1, 1} A_{1, 2} A_{1, 3}
A_{2, 1} A_{2, 2} A_{2, 3}
A_{3, 1} A_{3, 2} A_{3, 3}
N
b_1
\vdots
b_N

Output

If we will have a bingo, print Yes; otherwise, print No.

Sample Input 1

84 97 66
79 89 11
61 59 7
7
89
7
87
79
24
84
30

Sample Output 1

Yes

We will mark A_{1, 1}, A_{2, 1}, A_{2, 2}, A_{3, 3}, and complete the diagonal from the top-left to the bottom-right.

Sample Input 2

41 7 46
26 89 2
78 92 8
5
6
45
16
57
17

Sample Output 2

No

We will mark nothing.

Sample Input 3

60 88 34
92 41 43
65 73 48
10
60
43
88
11
48
73
65
41
92
34

Sample Output 3

Yes

We will mark all the squares.

Solution in C (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
int main(void)
{
          int fmat[9] ;
          int i , j;
          for( i = 0 ; i < 9 ; i ++ ) scanf("%d", &fmat[i]) ;
          int n ;
          scanf("%d" , &n) ;
          int numbers[n] ;
          for( i = 0 ; i < n ; i++) scanf("%d" , &numbers[i]) ;
          int flag[9] = {0,0,0,0,0,0,0,0,0} ;

          for(i = 0 ; i < 9; i++)
          {
                    if(flag[i] == 0)
                    {
                    for( j = 0 ; j < n ; j++)
                    {
                              if(fmat[i] == numbers[j]) flag[i] = 1 ;
                    }
                    }

          }
          if (flag[0] == 1 && flag[1] == 1 && flag[2] == 1 ||
                flag[3] == 1 && flag[4] == 1 && flag[5] == 1 ||
                flag[6] == 1 && flag[7] == 1 && flag[8] == 1 ||
               flag[0] == 1 && flag[3] == 1 && flag[6] == 1 ||
               flag[1  ] == 1 && flag[4] == 1 && flag[7] == 1 ||
               flag[2] == 1 && flag[5] == 1 && flag[8] == 1 ||
               flag[0] == 1 && flag[4] == 1 && flag[8] == 1 ||
               flag[2] == 1 && flag[4] == 1 && flag[6] == 1 )
          {
                    printf("Yes") ;
          }
          else printf("No") ;


}