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<math.h>

int main() {
    int a[3][3], n, b[20];
    int i, j, k;
    int flag = 0;
    int mark[3][3] = {
        {0, 0, 0},
        {0, 0, 0},
        {0, 0, 0}
    };

    for (i=0; i<3; i++) {
        for (j=0; j<3; j++) {
            scanf("%d", &a[i][j]);
        }
    }
    scanf("%d", &n);
    for (k=0; k<n; k++) {
        scanf("%d", &b[k]);
        for (i=0; i<3; i++) {
            for (j=0; j<3; j++) {
                if (a[i][j] == b[k]) mark[i][j] = 1;
            }
        }
    }

    
    if (mark[0][0] && mark[0][1] && mark[0][2]) flag = 1;
    if (mark[0][0] && mark[1][0] && mark[2][0]) flag = 1;
    if (mark[0][0] && mark[1][1] && mark[2][2]) flag = 1;
    if (mark[0][1] && mark[1][1] && mark[2][1]) flag = 1;
    if (mark[0][2] && mark[1][1] && mark[2][0]) flag = 1;
    if (mark[0][2] && mark[1][2] && mark[2][2]) flag = 1;
    if (mark[1][0] && mark[1][1] && mark[1][2]) flag = 1;
    if (mark[2][0] && mark[2][1] && mark[2][2]) flag = 1;


    if (flag) printf("Yes\n");
    else printf("No\n");

    return 0;
}