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

}