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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.util.*;

public class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    try {
      boolean[] hit = new boolean[9];
      int[] a = new int[9];
      for (int i = 0; i < 9; i++) a[i] = sc.nextInt();
      
      int n = sc.nextInt();
      for (int i = 0; i < n; i++) {
        int b = sc.nextInt();
        for (int j = 0; j < 9; j++) {
          if (b == a[j]) hit[j] = true;
        }
      }

      int[][] lines = {
        { 0, 1, 2 },
        { 3, 4, 5 },
        { 6, 7, 8 },
        { 0, 3, 6 },
        { 1, 4, 7 },
        { 2, 5, 8 },
        { 0, 4, 8 },
        { 2, 4, 6 },
      };

      boolean ans = false;
      for (int i = 0; i < 8; i++) {
        boolean chk = true;
        for (int j = 0; j < 3; j++) {
          if (!hit[lines[i][j]]) chk = false;
        }
        if (chk) ans = true;
      }

      if (ans) {
        System.out.println("Yes");
      } else {
        System.out.println("No");
      }
    } finally {
      sc.close();
    }
  }
}