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: Wrong Answer)

import java.util.*;

public class Main {
	static long MOD = (long) 1e9 + 7;

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int[][] a = new int[3][3];
		boolean[][] ans = new boolean[3][3];
		for (int i = 0; i < 3; i++) {
			for (int j = 0; j < 3; j++) {
				a[i][j] = sc.nextInt();
				ans[i][j] = false;
			}
		}
		int n = sc.nextInt();
		int[] b = arrayInt(sc, n);
		sc.close();
		for (int i = 0; i < n; i++) {
			for (int j = 0; j < 3; j++) {
				for (int k = 0; k < 3; k++) {
					if (a[j][k] == b[i]) {
						ans[j][k] = true;
					}
				}
			}
		}
		if (solve(ans)) {
			System.out.println("Yes");
		} else {
			System.out.println("No");
		}
	}

	public static boolean solve(boolean[][] a) {
		if (a[0][0] || a[1][1] || a[2][2]) {
			return true;
		}
		if (a[2][0] || a[1][1] || a[0][2]) {
			return true;
		}
		for (int i = 0; i < 3; i++) {
			if (a[i][2] || a[i][1] || a[i][0]) {
				return true;
			}
			if (a[0][i] || a[1][i] || a[2][i]) {
				return true;
			}
		}
		return false;
	}

	public static int arrayMax(int[] array) {
		int ans = Integer.MIN_VALUE;
		for (int i = 0; i < array.length; i++) {
			if (array[i] > ans)
				ans = array[i];
		}
		return ans;
	}

	public static int[] arrayInt(Scanner sc, int n) {
		int[] array = new int[n];
		for (int i = 0; i < n; i++) {
			array[i] = sc.nextInt();
		}
		return array;
	}

	public static Integer[] arrayInteger(Scanner sc, int n) {
		Integer[] array = new Integer[n];
		for (int i = 0; i < n; i++) {
			array[i] = sc.nextInt();
		}
		return array;
	}

	public static long[] arrayLong(Scanner sc, int n) {
		long[] array = new long[n];
		for (int i = 0; i < n; i++) {
			array[i] = sc.nextLong();
		}
		return array;
	}

	public static double[] arrayDouble(Scanner sc, int n) {
		double[] array = new double[n];
		for (int i = 0; i < n; i++) {
			array[i] = sc.nextDouble();
		}
		return array;
	}
}