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

$line1 = fgets(STDIN);
$line2 = fgets(STDIN);
$line3 = fgets(STDIN);

$bingo_card1 = explode(" ", $line1);
$bingo_card2 = explode(" ", $line2);
$bingo_card3 = explode(" ", $line3);

$bingo_check1 = [" ", " ", " "];
$bingo_check2 = [" ", " ", " "];
$bingo_check3 = [" ", " ", " "];
$last = "No";

fscanf(STDIN, "%d", $count);

for($nubmer = 0; $nubmer < $count, $last == "No"; $nubmer++) {
  fscanf(STDIN, "%d", $bingo);
  
  //ビンゴカード該当しているかチェック
  for($i = 0; $i < 3; $i++){
     if($bingo == $bingo_card1[$i]) {
       $bingo_check1[$i] = "A";
     }
     if($bingo == $bingo_card2[$i]) {
       $bingo_check2[$i] = "A";
     }
     if($bingo == $bingo_card2[$i]) {
       $bingo_check3[$i] = "A";
     }
  }
  
  //ビンゴ縦チェック
  for($j = 0; $j < 3; $j++) {
    if($bingo_check1[$j] == "A" &&
       $bingo_check2[$j] == "A" &&
       $bingo_check3[$j] == "A" ){
	      $last = "Yes";
    }
  }
  
  //ビンゴ横チェック
  if($bingo_check1[0] == "A" &&
     $bingo_check1[1] == "A" &&
     $bingo_check1[2] == "A" ) {
	    $last = "Yes";
  }
  if($bingo_check2[0] == "A" &&
     $bingo_check2[1] == "A" &&
     $bingo_check2[2] == "A" ) {
	    $last = "Yes";
  }
  if($bingo_check3[0] == "A" &&
     $bingo_check3[1] == "A" &&
     $bingo_check3[2] == "A" ) {
	    $last = "Yes";
  }
  
  //ビンゴ斜めチェック
  if($bingo_check1[0] == "A" &&
     $bingo_check2[1] == "A" &&
     $bingo_check3[2] == "A" ) {
	    $last = "Yes";
  }
  if($bingo_check1[2] == "A" &&
     $bingo_check2[1] == "A" &&
     $bingo_check3[0] == "A" ) {
	    $last = "Yes";
  }
  
}

echo $last;

?>