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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)


int main() {
    vector<vector<int>> A(3,vector<int>(3));
    rep(i,3){
        rep(n,3){
            cin >> A[i][n];
        }
    }
    int N;
    cin >> N;
    vector<int> b(N);
    vector<vector<bool>> open(3,vector<bool>(3));
    rep(i,3){
        rep(n,3){
            rep(m,N){
                if (A[i][n] == b[m]){
                    open[i][n] = true;
                }
            }
        }
    }
    rep(i,3){
        bool flag = true;
        rep(j,3){
            if(!open[i][j]){
                flag = false;
                break;
            }
        }
        if(flag){
            cout << "Yes" << endl;
            return 0;
        }
    }
    rep(j,3){
        bool flag = true;
        rep(i,3){
            if(!open[j][i]){
                flag = false;
                break;
            }
        }
        if(flag){
            cout << "Yes" << endl;
            return 0;
        }
    }
    bool flag = true;
    rep(i,3){
        if(!open[i][i]){
            flag = false;
            break;
        }
    }
    if(flag){
        cout << "Yes" << endl;
        return 0;
    }
    flag = true;
    rep(i,3){
        if(!open[2-i][2-i]){
            flag = false;
            break;
        }
    }
    if(flag){
        cout << "Yes" << endl;
        return 0;
    }

    cout << "No" << endl;

    return 0;
}