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 Perl (v5.18.2) (judge verdict: Accepted)

use strict;
use warnings;

my @a;
{
  for (my $i=0; $i<3; $i++) {
    my $in = <STDIN>;
    my @b = split(" ", $in);
    $a[$i] = \@b;
  }
}
my $n = <STDIN>;
chomp $n;
my @b;
{
  for (my $i=0; $i<$n; $i++) {
    my $in = <STDIN>;
    chomp $in;
    $b[$i] = $in;
  }
}
for (my $i=0; $i<3; $i++) {
  for (my $j=0; $j<3; $j++) {
      for (my $k=0; $k<$n; $k++) {
        if ($a[$i][$j] == $b[$k]) {
          $a[$i][$j] = 0;
        }
      }
  }
}
for (my $i=0; $i<3; $i++) {
  if ($a[$i][0]==0 && $a[$i][1]==0 && $a[$i][2]==0) {
    print "Yes\n";
    exit;
  }
  if ($a[0][$i]==0 && $a[1][$i]==0 && $a[2][$i]==0) {
    print "Yes\n";
    exit;
  }
}
if ($a[0][0]==0 && $a[1][1]==0 && $a[2][2]==0) {
  print "Yes\n";
  exit;
}
if ($a[0][2]==0 && $a[1][1]==0 && $a[2][0]==0) {
  print "Yes\n";
  exit;
}
print "No\n";