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++ (GCC 5.4.1) (judge verdict: Accepted)

#include<iostream>
#include<vector>
int main(){
  std::vector<std::vector<int> >a(3,std::vector<int> (3));
  for(int i=0;i<3;i++){
    for(int j=0;j<3;j++){
      std::cin>>a[i][j];
    }
  }
  int N;
  std::cin>>N;
  std::vector<int>b(N);
  for(int i=0;i<N;i++){
    std::cin>>b[i];
  	for(int j=0;j<3;j++){
    	for(int k=0;k<3;k++){
      		if(a[j][k]==b[i]){
              a[j][k]=0;
            }
    	}
  	}  
  }
  if((a[0][0]==0&&a[0][1]==0&&a[0][2]==0)||(a[0][0]==0&&a[1][1]==0&&a[2][2]==0)||(a[0][0]==0&&a[1][0]==0&&a[2][0]==0)||(a[0][1]==0&&a[1][1]==0&&a[2][1]==0)||(a[0][2]==0&&a[1][2]==0&&a[2][2]==0)||(a[0][2]==0&&a[1][1]==0&&a[2][0]==0)||(a[1][0]==0&&a[1][1]==0&&a[1][2]==0)||(a[2][0]==0&&a[2][1]==0&&a[2][2]==0)){
    std::cout<<"Yes"<<std::endl;
  }else std::cout<<"No"<<std::endl;
  return 0;
}