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>

struct card {
    int num;
    int flag;
};

int main(void) {
    struct card card[3][3];
    for (int i = 0; i < 3; i++) {
        for (int j = 0; j < 3; j++) {
            scanf(" %d", &card[i][j].num);
            card[i][j].flag = 0;
        }
    }

    int num_count;
    scanf(" %d", &num_count);
    int num;
    for (int i = 0; i < num_count; i++) {
        scanf(" %d", &num);
        for (int j = 0; j < 3; j++) {
            for (int k = 0; k < 3; k++) {
                if (card[j][k].num == num) {
                    card[j][k].flag = 1;
                }
            }
        }
    }

    int result = 0, i, j;
    if (!result) {
        for (i = 0; i < 3; i++) {
            for (j = 0; j < 3; j++) {
                if (card[i][j].flag) {
                    result = 1;
                    continue;
                } else {
                    result = 0;
                    break;
                }
            }
            if (result)
                break;
        }
    }

    if (!result) {
        for (i = 0; i < 3; i++) {
            for (j = 0; j < 3; j++) {
            if (card[j][i].flag) {
                    result = 1;
                    continue;
                } else {
                    result = 0;
                    break;
                } 
            }
            if (result)
                break;
        }
    }

    if (!result) {
        for (i = 0; i < 3; i++) {
            if (card[i][i].flag) {
                result = 1;
                continue;
            } else {
                result = 0;
                break;
            }
        }
    }

    if (!result) {
        for (i = 0; i < 3; i++) {
            if (card[i][2 - i].flag) {
                result = 1;
                continue;
            } else {
                result = 0;
                break;
            }
        }
    }

    if (result) {
        printf("Yes\n");
    } else {
        printf("No\n");
    }

    return 0;
}