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

$map = [];
for($i = 0; $i < 3; $i++) {
    $map = array_merge($map, explode(" ", fgets(STDIN)));
}

function check_col($map) {
    for ($i = 0; $i < 3; $i++) {
        if ($map[$i * 3] < 0 && $map[$i * 3 + 1] < 0 && $map[$i * 3 + 2] < 0) {
            return true;
        }
    }
    return false;
}

function check_row($map) {
    for ($i = 0; $i < 3; $i++) {
        if ($map[$i] < 0 && $map[$i + 3] < 0 && $map[$i + 6] < 0) {
            return true;
        }
    }
    return false;
}

function check_cross($map) {
    if ($map[0] < 0 && $map[4] < 0 && $map[8] < 0) return true;
    if ($map[2] < 0 && $map[4] < 0 && $map[6] < 0) return true;
    return false;
}

$n = intval(fgets(STDIN));
for($i = 0; $i < $n; $i++) {
    $k = intval(fgets(STDIN));
    $idx = array_search($k, $map);
    if ($idx !== FALSE) {
        $map[$idx] = -1;
    }
}

echo check_col($map) || check_row($map) || check_cross($map) ? "Yes": "No";