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.*;


class Main {
    public static void main(String args[]) {
        Scanner s = new Scanner(System.in);

        List num = new ArrayList();
        for (int i = 0; i < 9; i++) {
            num.add(s.nextInt());
        }
        int n = s.nextInt();
        List called = new ArrayList();
        for (int i = 0; i < n; i++) {
            called.add(s.nextInt());
        }
        List<List<Integer>> hoge = Arrays.asList(
                Arrays.asList(1, 4, 7),
                Arrays.asList(2, 4),
                Arrays.asList(4, 3, 8),
                Arrays.asList(5, 1),
                Arrays.asList(5, 2, 7, 8),
                Arrays.asList(5, 3),
                Arrays.asList(6, 1, 8),
                Arrays.asList(6, 2),
                Arrays.asList(6, 3,7)
        );
        int[] result=new int[9];
        for (int i = 0; i <called.size() ; i++) {
            if(num.indexOf(called.get(i))!=-1){
                int id=num.indexOf(called.get(i));
                hoge.get(id).forEach((nn)->{
                   result[nn-1]++;
                });
            }
        }
        for (int i = 0; i <9 ; i++) {
            if(result[i]>=3){
                System.out.println("Yes");
                return;
            }

        }
        System.out.println("No");


    }
}