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;
 
int main() {
  int A11,A12,A13;
  int A21,A22,A23;
  int A31,A32,A33;
  
  int N;
  int A=1;
  cin >> N,A;
    for (int i = 0; i < N; i++) {
    int bi;
    cin >>bi;
    if (bi == A11) {
     A11*=0;
    }
    
    if (bi == A12) {
     A12*=0; 
    } 
    
    if (bi == A13) {
     A13*=0;
    } 
    
    if (bi == A21) {
     A21*=0; 
    } 
     
    if (bi == A22) {
     A22*=0; 
    } 
     
    if (bi == A23) {
     A23*=0; 
    } 
    if (bi == A31) {
     A31*=0; 
    } 
    if (bi == A32) {
     A32*=0; 
    } 
    if (bi == A33) {
     A33*=0;
    } 
  }
  if (A11==0 && A12==0 && A13==0){
    A*=0;
    }
  if (A21==0 && A22==0 && A23==0){
    A*=0;
    }  
  if (A31==0 && A32==0 && A33==0){
    A*=0;
    }
  if (A11==0 && A21==0 && A31==0){
    A*=0;
    } 
  if (A12==0 && A22==0 && A32==0){
    A*=0;
    }  
  if (A13==0 && A23==0 && A33==0){
    A*=0;
    } 
  if (A11==0 && A22==0 && A33==0){
    A*=0;
    }  
  if (A13==0 && A22==0 && A31==0){
    A*=0;
    }  
  if (A==0){
    cout << "Yes" <<endl;
  }
  else {
    cout << "No" <<endl;
  }
  
  
}