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
$bingo = false;
$ans = [];
$nums[] = array_map('intval', explode(' ', trim(fgets(STDIN))));
$nums[] = array_map('intval', explode(' ', trim(fgets(STDIN))));
$nums[] = array_map('intval', explode(' ', trim(fgets(STDIN))));
for ($i = 0; $i < 3; $i++) {
    $ans[$i] = [];
    foreach ($nums[$i] as $value) {
        $ans[$i][$value] = 0;
    }
}

fscanf(STDIN, '%d', $cnt);
for ($i = 0; $i < $cnt; $i++) {
    fscanf(STDIN, '%d', $ball);
    for ($j = 0; $j < 3; $j++) {
        foreach ($ans[$j] as $key => $value) {
            if ($ball === $key) {
                $ans[$j][$key] = 1;
            }
        }
    }
}
for ($i=0; $i < 3; $i++) { 
    $ans[$i] = array_values($ans[$i]);
}
if (array_sum($ans[0]) === 3 || array_sum($ans[1]) === 3 || array_sum($ans[2]) === 3) {
    $bingo = true;
} elseif ($ans[0][0] + $ans[1][0] + $ans[2][0] === 3 || $ans[0][1] + $ans[1][1] + $ans[2][1] === 3 || $ans[0][2] + $ans[1][2] + $ans[2][2] === 3) {
    $bingo = true;
} elseif ($ans[1][1] === 1 && (($ans[0][0] === 1 && $ans[2][2] === 1) || ($ans[0][2] === 1 && $ans[2][0] === 1))) {
    $bingo = true;
}
echo $bingo ? "Yes" : "No";
echo "\n";