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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

public class Hello{
    
    public static void Main(){
        
        var line1 = System.Console.ReadLine();
        var line2 = System.Console.ReadLine();
        var line3 = System.Console.ReadLine();
        
        string[] array1 = line1.Split(' ');
        string[] array2 = line2.Split(' ');
        string[] array3 = line3.Split(' ');
        
        int n = int.Parse(System.Console.ReadLine());
        for(int i = 0; i < n; i++){
            var b = System.Console.ReadLine();
            for(int ary = 0; ary < 3; ary++){
                if(array1[ary] == b){
                    array1[ary] = "x";
                }
                if(array2[ary] == b){
                    array2[ary] = "x";
                }
                if(array3[ary] == b){
                    array3[ary] = "x";
                }
            }
        }
        
        string[] bingo = new string[8];
        bingo[0] = array1[0] + array1[1] + array1[2];
        bingo[1] = array2[0] + array2[1] + array2[2];
        bingo[2] = array3[0] + array3[1] + array3[2];
        bingo[3] = array1[0] + array2[0] + array3[0];
        bingo[4] = array1[1] + array2[1] + array3[1];
        bingo[5] = array1[2] + array2[2] + array3[2];
        bingo[6] = array1[0] + array2[1] + array3[2];
        bingo[7] = array1[2] + array2[1] + array3[0];
        
        var result = "No";
        for(int i = 0; i < 8; i++){
            if(bingo[i] == "xxx"){
                result = "Yes";
            }
        }
        
        System.Console.WriteLine(result);
    }
}