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<iostream>
using namespace std;
int main(){
  int your_num[3][3];
  int num_num=0;
  int bing_num[11];
  int row,col;
  int ans_row[3]{-1,-1,-1};
  int ans_col[3]{-1,-1,-1};
  int ans_naname[2]{-1,-1};
  int ans;
  string ans_string="No";
  
  for(int i=0;i<3;i++){
      cin >> your_num[i][0]>> your_num[i][1]>> your_num[i][2];
      //cout << your_num[i][0]<< your_num[i][1]<< your_num[i][2]<<endl;
  }
  cin >> num_num;
  for(int i=0;i<num_num;i++){
    cin >> bing_num[i];
    // cout << bing_num[i] <<" "<<endl;
    for(row=0;row<3;row++){
      for(col=0;col<3;col++){
        if(bing_num[i]==your_num[row][col]){
          // cout<<"hit"<<endl;
          your_num[row][col]=0;
        } 
      }
    } 
  }
  
  // calc answer
  for(row=0;row<3;row++){
    for(col=0;col<3;col++){
      ans_row[row]+=your_num[row][col];
      ans_col[col]+=your_num[row][col];
      if(row==col){
        ans_naname[0]+=your_num[row][col];
      }
      if((row+col)==2){
        ans_naname[1]+=your_num[row][col];
      }
    }
  }
  
  for(int i=0;i<3;i++){
    if(ans_row[i]*ans_col[i]==0){
      ans_string="Yes";
    }
  }
  if(ans_naname[0]*ans_naname[1]==0){
     ans_string="Yes";
  }

  // return ans
  cout << ans_string;
  return 0;
}