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.Linq;
using System.Collections.Generic;
using System.IO;


class Program
{
   
    public static long Read()
    {
        return long.Parse(Console.ReadLine());
    }

    public static long[] Reads()
    {
          return Console.ReadLine().Split().Select(long.Parse).ToArray();
    }
  
    public static bool bingo(bool[,] abool)
    {
        for (int i = 0; i < 3; i++)
        {
            var count = 0;
            for (int j = 0; j < 3; j++)
            {
                if (abool[i, j])
                    count++;
            }
            if (count == 3)
                return true;
        }
        for (int i = 0; i < 3; i++)
        {
            var count = 0;
            for (int j = 0; j < 3; j++)
            {
                if (abool[j, i])
                    count++;
            }
            if (count == 3)
                return true;
        }
        var count0 = 0;
        for (int i = 0; i < 3; i++)
        {        
            if (abool[i, i])
                count0++;
        }
        if (count0 ==3)
            return true;
        var count1 = 0;
        for (int i = 0; i < 3; i++)
        {
            if (abool[i, 2-i])
                count1++;
        }
        if (count1 == 3)
            return true;

        return false;

    }
    public static void Main(string[] args)
    {
        var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
        Console.SetOut(sw);
        var a = new long[3, 3];
        var abool = new bool[3, 3];
        for(int i = 0; i < 3; i++)
        {
            var input = Reads();
            for (int j = 0; j < 3; j++)
            {
                a[i, j] = input[j];
                abool[i, j] = false;
            }
        }
       
        var n = Read();
        var b = new long[n];
        for (int j = 0; j < n; j++)
        {
            b[j] = Read();
        }
        for (int k = 0; k < n; k++)
        {
            for (int i = 0; i < 3; i++)
            {
                for (int j = 0; j < 3; j++)
                {
                    if (a[i, j] == b[k])
                        abool[i, j] = true;
                }
            }
        }
        if (bingo(abool))
            Console.WriteLine("Yes");
        else
            Console.WriteLine("No");

          
        Console.Out.Flush();

    }
}