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: Wrong Answer)

<?php
  $a1 = explode("".trim(fgets(STDIN)));
  $a2 = explode("".trim(fgets(STDIN)));
  $a3 = explode("".trim(fgets(STDIN)));
  fscanf(STDIN,"%d",$n);
  while ($bb = fgets(STDIN)) {
    $b[] = trim($bb);
  }
  
  
  for ($i=0; $i<$n; $i++){
    for ($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;
      }
      else{
        
      }
    }
  }
  
  $bng1 = $a1[0]+$a1[1]+$a1[2];
  $bng2 = $a2[0]+$a2[1]+$a2[2];
  $bng3 = $a3[0]+$a3[1]+$a3[2];
  $bng4 = $a1[0]+$a2[0]+$a3[0];
  $bng5 = $a1[1]+$a2[1]+$a3[1];
  $bng6 = $a1[2]+$a2[2]+$a3[2];
  $bng7 = $a1[0]+$a2[1]+$a3[2];
  $bng8 = $a1[2]+$a2[1]+$a3[0];
  if($bng1==0){
    echo "Yes";
  }elseif($bng2==0){
    echo "Yes";
  }elseif($bng3==0){
    echo "Yes";
  }elseif($bng4==0){
    echo "Yes";
  }elseif($bng5==0){
    echo "Yes";
  }elseif($bng6==0){
    echo "Yes";
  }elseif($bng7==0){
    echo "Yes";
  }elseif($bng8==0){
    echo "Yes";
  }else{
    echo "No";
  }
  
?>