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 A[3][3];
bool ok[3][3];

int main(){
  for (int i=0;i<3;++i){
    for (int j=0;j<3;++j){
      cin >> A[i][j];
    }
  }
  int n;
  cin >> n;
  for (int i=0;i<n;++i){
    int b;
    cin >> b;
    for (int j=0;j<3;++j){
      for (int k=0;k<3;++k){
        if(A[j][k] == b) ok[j][k] = true;
      }
    }
  }
  //ここまででマルバツの配列に変換できた
  
  bool bingo = false;
  for (int i=0;i<3;++i){
    int cnt = 0;
    for (int j=0;j<3;++j) if(ok[i][j]) cnt++;
    if (cnt == 3) bingo = true;
  }
  for (int j=0;j<3;++j){
    int cnt = 0;
    for (int i=0;i<3;++i) if(ok[i][j]) cnt++;
    if (cnt == 3) bingo = true;
  }
  //ここまでで縦横
  int cnt = 0;
  for (int i=0;i<3;++i){
    if (ok[i][2-i]||ok[2-i][i]) cnt++;
    if (cnt == 3) bingo = true;
  }
  //ここまでで縦横斜め

  if (bingo) cout << "Yes" << endl;
  else cout << "No" << endl;
}