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: Wrong Answer)

#include <stdio.h>

int check_bingo(int sheet[3][3]){
  if(
     (sheet[0][0] == 0 && sheet[1][0] == 0 && sheet[2][0] == 0)
  || (sheet[0][1] == 0 && sheet[1][1] == 0 && sheet[2][1] == 0)
  || (sheet[0][2] == 0 && sheet[1][2] == 0 && sheet[2][2] == 0)
     
  || (sheet[0][0] == 0 && sheet[0][1] == 0 && sheet[0][2] == 0)
  || (sheet[1][0] == 0 && sheet[1][1] == 0 && sheet[1][2] == 0)
  || (sheet[2][0] == 0 && sheet[2][1] == 0 && sheet[2][2] == 0)

  || (sheet[0][0] == 0 && sheet[1][1] == 0 && sheet[2][2] == 0)
  || (sheet[2][0] == 0 && sheet[1][1] == 0 && sheet[0][2] == 0)
    )
      return (1);
    return (0);
}

int main(){
  int sheet[3][3];
  int n;
  int i;
  int j;
  int k;
  
  scanf("%d %d %d", &sheet[0][0], &sheet[0][1], &sheet[0][2]);
  scanf("%d %d %d", &sheet[1][0], &sheet[1][1], &sheet[1][2]);
  scanf("%d %d %d", &sheet[2][0], &sheet[2][1], &sheet[2][2]);
  scanf("%d", &n);
  
  for(i=0; i<n; i++){
    scanf("%d", &n);
    for(j=0; j<3; j++){
      for(k=0; k<3; k++){
        if(sheet[j][k] == n)
          sheet[j][k] = 0;
      }
    }
  }
  
  if(check_bingo(sheet))
    printf("Yes");
  else
    printf("No");
  
  return (0);
}