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>
#include <stdlib.h>

int main(void)
{
  int A[3][3], N, b[100];
  int i, j, n;
  
  for (i = 0; i < 3; i++)
  {
    for (j = 0; j < 3; j++)
    {
      scanf("%d", &A[i][j]);
    }
  }
  scanf("%d", &N);
  for (n = 0; n < N; n++)
  {
    scanf("%d", &b[n]);
    for (i = 0; i < 3; i++)
    {
      for (j = 0; j < 3; j++)
      {
        if (b[n] == A[i][j])
        {
          A[i][j] = 0;
        }
      }
    }
  }
  
  for (i = 0; i < 3; i++)
  {
    if (A[i][0] + A[i][1] + A[i][2] == 0 || A[0][i] + A[1][i] + A[2][i] == 0)
    {
      printf("Yes\n");
      return 0;
    }
  }
  if (A[0][0] + A[1][1] + A[2][2] == 0 || A[0][2] + A[1][1] + A[2][0] == 0)
  {
    printf("Yes\n");
    return 0;
  }
  
  printf("No\n");
  
  return 0;
}