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)

#!/usr/bin/perl
use strict;

my @r0 = split (/ /, <>);
my @r1 = split (/ /, <>);
my @r2 = split (/ /, <>);
my $num = <>;

my @matrix = (
  [@r0],
  [@r1],
  [@r2] 
);

my @bingo;
for (my $i = 0; $i < $num; $i++) {
  $bingo[$i] = <>;
}
chomp(@bingo);

#row check
my $row_match = 0;
for (my $k = 0;$k <= 2; $k++) {
  for (my $i = 0; $i <= $#bingo; $i++) {
    for (my $j = 0; $j <= 2; $j++) {
        if ($matrix[$k][$j] == $bingo[$i]) {
           $row_match++;
        }
    }
    if ($row_match == 3) {
      print "Yes";
      exit;
    } 
  }
  $row_match = 0;
}

#column check
my $col_match = 0;

for (my $j = 0; $j <= 2; $j++) {
  for (my $k = 0; $k <= 2; $k++) {
    for (my $i =0;$i <= $#bingo; $i++) {
      if ($matrix[$k][$j] == $bingo[$i]) {
        $col_match++;
      }
    }
    if ($col_match == 3) {
     print "Yes";
     exit;
    }
  }
  $col_match = 0;
}

my $daig_match = 0;
for (my $i =0;$i <= $#bingo; $i++) {
  if ($matrix[0][0] == $bingo[$i]) {
    $daig_match++;
  } if ($matrix[1][1] == $bingo[$i]) {
    $daig_match++;
  } if ($matrix[2][2] == $bingo[$i]) {
    $daig_match++;
  } 
  if ($daig_match == 3) {
    print "Yes";
    exit;
  }
}
$daig_match = 0;
for (my $i =0;$i <= $#bingo; $i++) {
  if ($matrix[0][2] == $bingo[$i]) {
    $daig_match++;
  } if ($matrix[1][1] == $bingo[$i]) {
    $daig_match++;
  } if ($matrix[2][0] == $bingo[$i]) {
    $daig_match++;
  } 
  if ($daig_match == 3) {
    print "Yes";
    exit;
  }
}
print "No";