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 (Clang 3.8.0) (judge verdict: Accepted)

#include<stdio.h>

int main()
{
  int a[3], b[3], c[3];
  int n, i, k, j;
  int ans;
  
  scanf("%d %d %d", &a[0], &a[1], &a[2]);
  scanf("%d %d %d", &b[0], &b[1], &b[2]);
  scanf("%d %d %d", &c[0], &c[1], &c[2]);
  scanf("%d", &n);
  
  i = 0;
  while(i < n)
  {
    scanf("%d", &k);
    j = 0;
    while(j < 3)
    {
      if(a[j] == k)
        a[j] = 1;
      if(b[j] == k)
        b[j] = 1;
      if(c[j] == k)
        c[j] = 1;
      j++;
    }
    i++;
  }
  
  if((a[0] == 1 && a[1] == 1 && a[2] == 1) || (b[0] == 1 && b[1] == 1 && b[2] == 1) ||
     (c[0] == 1 && c[1] == 1 && c[2] == 1) || (a[0] == 1 && b[1] == 1 && c[2] == 1) ||
     (c[0] == 1 && b[1] == 1 && a[2] == 1) || (a[0] == 1 && b[0] == 1 && c[0] == 1) ||
     (a[1] == 1 && b[1] == 1 && c[1] == 1) || (a[2] == 1 && b[2] == 1 && c[2] == 1))
    printf("Yes");
  else
    printf("No");
  return(0);
}