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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.ArrayList;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int[][] bingo = new int[3][3];
		boolean[][] check = new boolean[3][3];
		for(int i = 0; i < 3; i++) {
			for(int j = 0; j < 3; j++) {
				bingo[i][j] = Integer.parseInt(sc.next());
				check[i][j] = false;
			}
		}
		int N = Integer.parseInt(sc.next());
		ArrayList<Integer> list = new ArrayList<>();
		for(int i = 0; i < N; i++) {
			list.add(Integer.parseInt(sc.next()));
		}
		sc.close();
		for(int i = 0; i < N; i++) {
			int tmp = list.get(i);
			for(int j = 0; j < 3; j++) {
				for(int k = 0; k < 3; k++) {
					if(tmp == bingo[j][k]) {
						check[j][k] = true;
					}
				}
			}
		}
		for(int i = 0; i < 3; i++) {
			if(check[i][0] && check[i][1] && check[i][2]) {
				System.out.println("Yes");
				return;
			}
			if(check[0][i] && check[1][i] && check[2][i]) {
				System.out.println("Yes");
				return;
			}
		}
		if(check[0][2] && check[1][1] && check[2][0]) {
			System.out.println("Yes");
			return;
		}else if(check[0][0] && check[1][1] && check[2][2]) {
			System.out.println("Yes");
			return;
		}else {
			System.out.println("No");
		}

	}

}