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(void) {
	int a[3][3];
	int n;
	int num = 0;
	int flag = 0;
	int b[10];
	int x[8][3] = {
		{0,1,2},
		{0,1,2},
		{0,1,2},
		{0,0,0},
		{1,1,1},
		{2,2,2},
		{0,1,2},
		{0,1,2}
	};
	int y[8][3] = { 
		{0,0,0},
		{1,1,1},
		{2,2,2},
		{0,1,2},
		{0,1,2},
		{0,1,2},
		{0,1,2},
		{2,1,0}
	};


	for (int i = 0; i < 3; i++)
	        scanf("%d%d%d", &a[i][0], &a[i][1], &a[i][2]);

	scanf("%d", &n);

	for (int i = 0; i < n; i++)
		scanf("%d", &b[i]);

	for (int i = 0; i < 8; i++) {
		num = 0;
		for (int j = 0; j < 3; j++) {
			for (int k = 0; k < n; k++)
				if (a[x[i][j]][y[i][j]] == b[k])
					num++;
		}
		if (num == 3) {
			flag = 1;
			break;
		}
	}

	printf("%s", (flag == 0) ? "No" : "Yes");

	return 0;
}