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;
using System.Collections.Generic;
using System.Linq;
 
public class B {
    public static void Main(){
        int[,] A = new int[3,3];
        bool[,] sheet = new bool[3,3];
        for (int i=0;i<3;i++)
        {
            string[] line = Console.ReadLine().Split(' ');
            for (int j=0;j<3;j++)
            {
                A[i,j] = int.Parse(line[j]);
                sheet[i,j] = false;
            }
        }
        int N = int.Parse(Console.ReadLine());
        for (int i=0;i<N;i++)
        {
            int b = int.Parse(Console.ReadLine());
            for (int j=0;j<3;j++)
            {
                for (int k=0;k<3;k++)
                {
                    if (A[j,k]==b)
                    {
                        sheet[j,k] = true;
                    }
                }
            }
        }
        
        if (isBingo(sheet)) Console.WriteLine("Yes");
        else Console.WriteLine("No");
    }
    
    private static bool isBingo(bool[,] sheet)
    {
        for (int i=0;i<3;i++)
        {
            bool isBingoYoko = true;
            for (int j=0;j<3;j++)
            {
                if (!sheet[i,j])
                {
                    isBingoYoko = false;
                }
            }
            if (isBingoYoko) return isBingoYoko;
        }
        
        for (int i=0;i<3;i++)
        {
            bool isBingoTate = true;
            for (int j=0;j<3;j++)
            {
                if (!sheet[j,i])
                {
                    isBingoTate = false;
                }
            }
            if (isBingoTate) return isBingoTate;
        }
        
        if (sheet[0,0]&&sheet[1,1]&&sheet[2,2]) return true;
        if (sheet[0,2]&&sheet[1,1]&&sheet[2,0]) return true;
        
        return false;
    }
}