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[] A1 = new int [3];
		int[] A2 = new int [3];
		int[] A3 = new int [3];
		
		A1[0] = sc.nextInt();
		A1[1] = sc.nextInt();
		A1[2] = sc.nextInt();
		
		A2[0] = sc.nextInt();
		A2[1] = sc.nextInt();
		A2[2] = sc.nextInt();
		
		A3[0] = sc.nextInt();
		A3[1] = sc.nextInt();
		A3[2] = sc.nextInt();
		
		int N = sc.nextInt();
		ArrayList<Integer> nums = new ArrayList<>();

		for(int i = 0; i < N; i++) {
			nums.add(sc.nextInt());
		}

		for(int i = 0; i < N; i++) {
			for(int j = 0; j < 3; j++) {
				if(nums.get(i) == A1[j]) {
					A1[j] = -1;
				}
				if(nums.get(i) == A2[j]) {
					A2[j] = -1;
				}
				if(nums.get(i) == A3[j]) {
					A3[j] = -1;
				}
			}
		}

		boolean ans = false;
		
		if(A1[0]==-1 && A1[1]==-1 && A2[2]==-1) {
			ans = true;
		}
		if(A2[0]==-1 && A2[1]==-1 && A2[2]==-1) {
			ans = true;
		}
		if(A3[0]==-1 && A3[1]==-1 && A3[2]==-1) {
			ans = true;
		}
		
		if(A1[0]==-1 && A2[0]==-1 && A3[0]==-1) {
			ans = true;
		}
		if(A1[1]==-1 && A2[1]==-1 && A3[1]==-1) {
			ans = true;
		}
		if(A1[2]==-1 && A2[2]==-1 && A3[2]==-1) {
			ans = true;
		}
		
		if(A1[0]==-1 && A2[1]==-1 && A3[2]==-1) {
			ans = true;
		}
		if(A1[2]==-1 && A2[1]==-1 && A3[0]==-1) {
			ans = true;
		}
		
		if(ans) {
			System.out.println("Yes");
		}else {
			System.out.println("No");
		}
		
		sc.close();
	}
	
}