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 PHP7 (7.0.15) (judge verdict: Accepted)

<?php
fscanf(STDIN, "%d %d %d", $a11, $a12, $a13);
fscanf(STDIN, "%d %d %d", $a21, $a22, $a23);
fscanf(STDIN, "%d %d %d", $a31, $a32, $a33);

$list = [
	$a11, $a12, $a13,
	$a21, $a22, $a23,
	$a31, $a32, $a33,
];
$ans = array_fill(0, 9, false);

fscanf(STDIN, "%d", $N);
for($i = 0; $i < $N; $i++) {
	fscanf(STDIN, "%d", $b);
	$idx = array_search($b, $list);
	if($idx !== false) {
		$ans[$idx] = true;
	}
}

// たてよこ
$flg = false;
for($i = 0; $i < 3; $i++) {
	$flg |= ($ans[$i * 3 + 0] && $ans[$i * 3 + 1] && $ans[$i * 3 + 2]);
	$flg |= ($ans[0 * 3 + $i] && $ans[1 * 3 + $i] && $ans[2 * 3 + $i]);
}

// 斜め
$flg |= ($ans[0] && $ans[4] && $ans[8]);
$flg |= ($ans[2] && $ans[4] && $ans[6]);

if($flg) {
	echo "Yes\n";
}
else {
	echo "No\n";
}