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>
#include <math.h>

int main()
{
    int a[9];
    int hole[9] = {0,0,0,0,0,0,0,0,0};
    int n;
    int b[11] = {0,0,0,0,0,0,0,0,0,0,0};
    
    for ( int i=0; i<9; i++ ){
        scanf("%d",&a[i]);
    }
    
    scanf("%d",&n);
    
    for ( int i=0; i<n; i++ ){
        scanf("%d", &b[i]);
    }
    
    for ( int i=0; i<9; i++){
        for ( int j=0; j<n; j++ ){
            if ( a[i] == b[j] ){
                hole[i] = 1;
            }
        }
    }
    
    int flag = 0;
    
    if ( hole[0] == 1 && hole[1] == 1 && hole[2] == 1 ){
        flag = 1;
    } else if ( hole[3] == 1 && hole[4] == 1 && hole[5] == 1 ){
        flag = 1;
    } else if ( hole[6] == 1 && hole[7] == 1 && hole[8] == 1 ){
        flag = 1;
    } else if ( hole[0] == 1 && hole[3] == 1 && hole[6] == 1 ){
        flag = 1;
    } else if ( hole[1] == 1 && hole[4] == 1 && hole[7] == 1 ){
        flag = 1;
    } else if ( hole[2] == 1 && hole[5] == 1 && hole[8] == 1 ){
        flag = 1;
    } else if ( hole[0] == 1 && hole[4] == 1 && hole[8] == 1 ){
        flag = 1;
    } else if ( hole[2] == 1 && hole[4] == 1 && hole[6] == 1 ){
        flag = 1;
    }
    
    if ( flag == 1 ) printf("Yes\n");
    else             printf("No\n");
}