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 C++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
#define ll long long
#define endl '\n'
#define PI acos(-1)
#define sz 100010
#define RUN_FAST ios::sync_with_stdio(false);
using namespace std;

int main()
{
    RUN_FAST; cin.tie(nullptr);
    int i, j, n, val, cnt;
    bool flag;
    int arr[3][3];
    for (i=0; i<3; i++)
        for (j=0; j<3; j++) cin >> arr[i][j];

    cin >> n;
    while (n--) {
        cin >> val;
        flag=false;
        for (i=0; i<3; i++) {
            for (j=0; j<3; j++) {
                if (arr[i][j]==val) {
                    arr[i][j]=0;
                    flag=true;
                    break;
                }
            }
            if (flag) break;
        }
    }
    if (!arr[0][0] && !arr[0][1] && !arr[0][2]) cout << "Yes";
    else if (!arr[1][0] && !arr[1][1] && !arr[1][2]) cout << "Yes";
    else if (!arr[2][0] && !arr[2][1] && !arr[2][2]) cout << "Yes";

    else if (!arr[0][0] && !arr[1][0] && !arr[2][0]) cout << "Yes";
    else if (!arr[0][1] && !arr[1][1] && !arr[2][1]) cout << "Yes";
    else if (!arr[0][2] && !arr[1][2] && !arr[2][2]) cout << "Yes";

    else if (!arr[0][0] && !arr[1][1] && !arr[2][2]) cout << "Yes";
    else if (!arr[0][2] && !arr[1][1] && !arr[2][0]) cout << "Yes";

    else cout << "No";
    cout << endl;
    return 0;
}