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 PHP (5.6.30) (judge verdict: Accepted)

<?php
$a1=explode(" ",trim(fgets(STDIN)));
$a2=explode(" ",trim(fgets(STDIN)));
$a3=explode(" ",trim(fgets(STDIN)));
$n=trim(fgets(STDIN));
for ($i = 0; $i < $n; $i++) {
    $b[$i]=trim(fgets(STDIN));
    for ($j = 0; $j < 3; $j++) {
        if ($a1[$j]==$b[$i]) {
            $a1[$j]=0;
        }elseif ($a2[$j]==$b[$i]) {
            $a2[$j]=0;
        }elseif ($a3[$j]==$b[$i]) {
            $a3[$j]=0;
        }
    }
    
}

$k1=array_sum($a1);
$k2=array_sum($a2);
$k3=array_sum($a3);
$k4=$a1[0]+$a2[0]+$a3[0];
$k5=$a1[1]+$a2[1]+$a3[1];
$k6=$a1[2]+$a2[2]+$a3[2];
$k7=$a1[0]+$a2[1]+$a3[2];
$k8=$a1[2]+$a2[1]+$a3[0];

if ($k1==0 or $k2==0 or $k3==0 or $k4==0 or $k5==0 or $k6==0 or $k7==0 or $k8==0) {
    echo "Yes","\n";
}else {
    echo "No","\n";
}
?>