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: Accepted)

#include <bits/stdc++.h>
using namespace std;

#define INF 1000000000

bool isbingo(vector<vector<int>> r){
    if(r[0][0]*r[0][1]*r[0][2] == 1) return true;
    if(r[1][0]*r[1][1]*r[1][2] == 1) return true;
    if(r[2][0]*r[2][1]*r[2][2] == 1) return true;
    if(r[0][0]*r[1][0]*r[2][0] == 1) return true;
    if(r[0][1]*r[1][1]*r[2][1] == 1) return true;
    if(r[0][2]*r[1][2]*r[2][2] == 1) return true;
    if(r[0][0]*r[1][1]*r[2][2] == 1) return true;
    if(r[2][0]*r[1][1]*r[0][2] == 1) return true;
    return false;
}

int main(){
    vector<vector<int>> A(3,vector<int>(3));
    vector<vector<int>> result(3,vector<int>(3,0));
    for(int i=0;i<3;i++){for(int j=0;j<3;j++) cin >> A[i][j];}
    int N; cin >> N;

    for(int n=0;n<N;n++){
        int b; cin >> b;
        for(int i=0;i<3;i++){
            for(int j=0;j<3;j++){
                if(b == A[i][j]){result[i][j] = 1;}
            }
        }
    }

    //for(int i=0;i<3;i++){for(int j=0;j<3;j++){cout << result[i][j] << endl;}}
    if(isbingo(result)) cout << "Yes" << endl;
    else cout << "No" << endl;
}