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;
int main(void){
    
    int a[4][4]={};
    int n;
    int b;
    int c[99]={};
    int tmp=0;
    int k=0;
    
    cin >> a[1][1] >> a[1][2] >> a[1][3];
    cin >> a[2][1] >> a[2][2] >> a[2][3];
    cin >> a[3][1] >> a[3][2] >> a[3][3];
    cin >> n;
    
    for(int i=1; i<=n; i++){
        
        cin >> b;
        
        if(b==a[1][1]){
            
            c[11] = 1;
            
        } else if(b==a[1][2]){
            
            c[12] = 1;
            
        } else if(b==a[1][3]){
            
            c[13] = 1;
            
        } else if(b==a[2][1]){
            
            c[21] = 1;
            
        } else if(b==a[2][2]){
            
            c[22] = 1;
            
        } else if(b==a[2][3]){
            
            c[23] = 1;
            
        } else if(b==a[3][1]){
            
            c[31] = 1;
            
        } else if(b==a[3][2]){
            
            c[32] = 1;
            
        } else if(b==a[3][3]){
            
            c[33] = 1;
            
        }
        
    }
    
    for(int i=1; i<=3; i++){
        
        k = 0;
        
        for(int j=1; j<=3; j++){
            
            tmp = i * 10 + j;
            k += c[tmp];
            
            if(k>=3){
                
                cout << "Yes" << endl;
                return 0;
                
            }
            
        }
        
    }
    
    for(int i=1; i<=3; i++){
        
        k = 0;
        
        for(int j=1; j<=3; j++){
            
            tmp = j * 10 + i;
            k += c[tmp];
            
            if(k>=3){
                
                cout << "Yes" << endl;
                return 0;
                
            }
            
        }
        
    }
    
    k = 0;
    
    for(int i=1; i<=3; i++){
        
        tmp = i * 11;
        k += c[tmp];
        
        if(k>=3){
            
            cout << "Yes" << endl;
            return 0;
            
        }
        
    }
    
    k = 0;
    
    for(int i=1; i<=3; i++){
        
        tmp = i * 9 + 4;
        k += c[tmp];
        
        if(k>=3){
            
            cout << "Yes" << endl;
            return 0;
            
        }
        
    }
    
    cout << "No" << endl;
    
    return 0;
    
}