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>
#include <string>
#include <vector>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <iomanip>
#define rep(i,n) for(int i=0;i<n;i++)
#define rop(i,n) for(int i=1;i<n+1;i++)

using namespace std;
using std::swap;

//vector<long long int> p;
vector<long long int> v;
vector<long long int> w;



int main() {
	int N,b;
	v.resize(9);
	w.resize(9);
	rep(i, 9) {
		cin >> v[i];
		w[i] = 0;
	}
	cin >> N ;
	w.resize(9);
	rep(i, N) {
		cin >> b;
		rep(j, 9) {
			if (b == v[j])w[j] = 1;
		}
	}
	if (w[0] == 1) {
		if (w[1] == 1 && w[2] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}else if (w[3] == 1 && w[6] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}
		else if (w[4] == 1 && w[8] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}
	}else if (w[1] == 1) {
		if (w[4] == 1 && w[7] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}
	}else if (w[2] == 1) {
		if (w[4] == 1 && w[7] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}
		else if (w[4] == 1 && w[6] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}
	}else if (w[3] == 1) {
		if (w[4] == 1 && w[5] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}
	}else if (w[6] == 1) {
		if (w[7] == 1 && w[8] == 1) {
			cout << "Yes" << "\n";
			return 0;
		}
	}
	cout << "No" << "\n";

	return 0;
}