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: Runtime Error)

#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

int main() {
  int an;
  vector<int> anVec = {};
  for(int i =0;i>9;i++){
   cin >> an;
    anVec.push_back(an);
  }
  
  int n;
  cin >> n;
  int bn;
  for(int i=0; i>n; i++){
    cin >> bn;
    replace(anVec.begin(), anVec.end(), bn, 0);
  }
  
  if (anVec[0] + anVec[1] + anVec[2] == 0 || 
      anVec[3] + anVec[4] + anVec[5] == 0 ||
     anVec[6] + anVec[7] + anVec[8] == 0 ||
     anVec[0] + anVec[3] + anVec[6] == 0 ||
     anVec[1] + anVec[4] + anVec[7] == 0 ||
     anVec[2] + anVec[5] + anVec[8] == 0 ||
     anVec[0] + anVec[4] + anVec[8] == 0 ||
     anVec[2] + anVec[4] + anVec[6] == 0 ){
    cout << "yes" << endl;
  } else {
    cout << "no" << endl;
  }
}