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>
#include <string>
#include <iostream>
#include <map>
#include <cmath>
#include <vector>

#define rep(i, n) for (int i = 0; i < (n); ++i)
#define REP(i,a,b)for(int i=(int)(a);(i)<(int)(b);i++)

typedef unsigned long long ull;
typedef long long ll;
using namespace std;

int main() {
    vector<vector<int>> bingo(3, vector<int>(3, 1));
    vector<vector<int>> appear(3, vector<int>(3, 1));
    rep(i, 3) {
        rep(j, 3) {
            cin >> bingo.at(i).at(j);
        }
    }
    int n; string ans = "No";
    cin >> n; 
    rep(i, n) {
        int num;
        cin >> num;
        rep(j, 3) {
            rep(k, 3) {
                if (num == bingo[j][k])
                {
                    /* code */
                    appear[j][k] = 0;
                }
            }
        }
    }

    rep(i, 3) {
            if (appear[i][0] == appear[i][1] == appear[i][2] == 0)
            {
                ans = "Yes";
            }
    }
    rep(j, 3) {
            if (appear[0][j] == appear[1][j] == appear[2][j] == 0)
            {
                ans = "Yes";
            }
    }
    if (appear[0][0] == appear[1][1] == appear[2][2] == 0) { ans = "Yes"; }
    if (appear[2][0] == appear[1][1] == appear[0][2] == 0) { ans = "Yes"; }
    cout << ans << endl;
}