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-mcs 6.8.0.105) (judge verdict: Accepted)

public class Hello{
    public static void Main(){
        string[] str = new string[3];
        //int[,] a = new int[3,3];
        int[] a =new int[9];
        for(int i=0; i<3; i++){
            str[i] = System.Console.ReadLine();
            string[] s = str[i].Split(' ');
            for(int j=0; j<3; j++){
                //a[i,j] = int.Parse(s[j]);
                a[(i*3)+j] = int.Parse(s[j]);
                //System.Console.WriteLine(a[i,j]);
                //System.Console.WriteLine((i*3)+j+":"+a[(i*3)+j]);
            }
        }
        var N = int.Parse(System.Console.ReadLine());
        int[] b = new int[N];
        for(int i=0; i<N; i++){
            b[i] = int.Parse(System.Console.ReadLine());
            for(int j=0; j<9; j++){
                if(b[i] == a[j]){
                    a[j] -= b[i];
                    //System.Console.WriteLine(j+":"+a[j]);
                }
            }
            //System.Console.WriteLine(b[i]);
        }
        if(a[0]==0 && a[1]==0 && a[2]==0){
            System.Console.WriteLine("Yes");
        }else if(a[3]==0 && a[4]==0 && a[5]==0){
            System.Console.WriteLine("Yes");
        }else if(a[6]==0 && a[7]==0 && a[8]==0){
            System.Console.WriteLine("Yes");
        }else if(a[0]==0 && a[3]==0 && a[6]==0){
            System.Console.WriteLine("Yes");
        }else if(a[1]==0 && a[4]==0 && a[7]==0){
            System.Console.WriteLine("Yes");
        }else if(a[2]==0 && a[5]==0 && a[8]==0){
            System.Console.WriteLine("Yes");
        }else if(a[0]==0 && a[4]==0 && a[8]==0){
            System.Console.WriteLine("Yes");
        }else if(a[2]==0 && a[4]==0 && a[6]==0){
            System.Console.WriteLine("Yes");
        }else{
            System.Console.WriteLine("No");
        }
    }
}