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>
#define ROW    3
#define COLUMN 3

int main(void)
{
	int a[ROW][COLUMN];
	int b, n;
	int i, j, k;

	/* ビンゴカードに数字を書く */
	for (i = 0; i < ROW; i++)
	{
		for (j = 0; j < COLUMN; j++)
		{
			scanf("%d", &a[i][j]);
		}
	}

	/* n個の数を選ぶ */
	scanf("%d", &n);

	for (k = 0; k < n; k++)
	{
		scanf("%d", &b);
		/* 選ばれた数に印を付ける */
		for (i = 0; i < ROW; i++)
		{
			for (j = 0; j < COLUMN; j++)
			{
				if (b == a[i][j]) {
					a[i][j] = -1;
				}
			}
		}
	}

	/* 横列のビンゴを確認する */
	for (i = 0; i < ROW; i++)
	{
		if (a[i][0] == a[i][1] && a[i][1] == a[i][2])
		{
			printf("Yes\n");
			return 0;
		}
	}

	/* 縦列のビンゴを確認する */
	for (i = 0; i < COLUMN; i++)
	{
		if (a[0][i] == a[1][i] && a[1][i] == a[2][i])
		{
			printf("Yes\n");
			return 0;
		}
	}

	/* 斜めのビンゴを2通り確認する */
	if (a[0][0] == a[1][1] && a[1][1] == a[2][2])
	{
		printf("Yes\n");
		return 0;
	}

	if (a[0][2] == a[1][1] && a[1][1] == a[2][0])
	{
		printf("Yes\n");
		return 0;
	}

	printf("No\n");

	return 0;
}