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",$a[0],$a[1],$a[2]);
    fscanf(STDIN,"%d %d %d",$a[3],$a[4],$a[5]);
    fscanf(STDIN,"%d %d %d",$a[6],$a[7],$a[8]);
    fscanf(STDIN,"%d",$n);
    
    $exKey=[];
    for($i=0;$i<$n;$i++){
        if(in_array($b = (int)trim(fgets(STDIN)),$a)){
            $exKey[] = array_search($b, $a);
        }
    }
    // print_r($exKey);
    $isBingos = [
        [0,1,2],
        [3,4,5],
        [6,7,8],
        [0,3,6],
        [1,4,7],
        [2,5,8],
        [0,4,8],
        [2,4,6]
    ];

    foreach($isBingos as $isBingo){
        if(array_intersect($isBingo,$exKey) === $isBingo){
            echo "Yes" . PHP_EOL;
            break;
        }
        if($isBingo === end($isBingos)){
            echo "No".PHP_EOL;
        }
    }
?>