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)

using System;
class ProgramB
    {
        static void Main(string[] args)
        {
            
            //入力
            int[,] bingo = new int[3,3];
            int[,] hit = new int[3,3];

            for(int i = 0; i < 3;i++)
            {
                string[] input = Console.ReadLine().Split(' ');
                bingo[0,i] = int.Parse(input[0]);
                bingo[1,i] = int.Parse(input[1]);
                bingo[2,i] = int.Parse(input[2]);
            }
            
            int n = int.Parse(Console.ReadLine());

            for(int i = 0;i < n ;i++)
            {
                int num = int.Parse(Console.ReadLine());
                for(int k = 0;k < 3;k++)
                    for(int j = 0;j < 3;j++)
                    {
                        if(bingo[k,j] == num)
                        {
                            hit[k,j] = 1;
                            break;
                        }
                    }
            }

            for(int i = 0;i < 3;i++)
            {
                if(hit[i,0] == 1 && hit[i,1] == 1 && hit[i,2] == 1)
                {
                    Console.WriteLine("Yes");
                    return;
                }

                if(hit[0,i] == 1 && hit[1,i] == 1 && hit[2,i] == 1)
                {
                    Console.WriteLine("Yes");
                    return;
                }
                    
            }

            if(hit[0,0] == 1 && hit[1,1] == 1 && hit[2,2] == 1)
            {
                Console.WriteLine("Yes");
                return;
            }

            if(hit[2,0] == 1 && hit[1,1] == 1 && hit[0,2] == 1)
            {
                Console.WriteLine("Yes");
                return;
            }
            
            Console.WriteLine("No");
    
        }
    }