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: Wrong Answer)

<?php

$map = [];
$list = [];
for ($i=0; $i < 3; $i++) { 
	$input = explode(' ', trim(fgets(STDIN)));
	foreach ($input as $k => $v) {
		$map[(int)$v]  = [$i, $k];
		$list[$i][$k] = false;
	}
}
$n = (int)trim(fgets(STDIN));


for ($i=0; $i < $n; $i++) { 
	$b = (int)trim(fgets(STDIN));
	if (isset($map[$b])) {
		$list[$map[$b][0]][$map[$b][1]] = true;
	}
}
// var_dump($list);
if (is_bingo($list)) {
	echo "Yes";
}else{
	echo "No";
}


function is_bingo($list){
	$ret = false;
	if ($list[0][0] === true) {
		if ($list[0][1] === true && $list[0][2] === true) {
			$ret = true;
		}
		if ($list[1][1] === true && $list[2][2] === true) {
			$ret = true;
		}
		if ($list[1][0] === true && $list[2][0] === true) {
			$ret = true;
		}
	}
	if ($list[1][1] === true) {
		if ($list[0][1] === true && $list[2][1] === true) {
			$ret = true;
		}
		if ($list[1][0] === true && $list[1][2] === true) {
			$ret = true;
		}
	}
	if ($list[2][2] === true) {
		if ($list[0][2] === true && $list[1][2] === true) {
			$ret = true;
		}
		if ($list[2][0] === true && $list[2][1] === true) {
			$ret = true;
		}
	}
	return $ret;
}