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;
using System.Linq;

class Prog
{
    public static void Main(string[] args)
    {
        string[] numt = new string[9];
        for (int i = 0; i < 3; i++)
        {
            string[] input = Console.ReadLine().Split(' ');
            for (int j = 0; j < 3; j++)
            {
                //Console.WriteLine(i + j);
                numt[3 * i + j] = input[j];
            }
        }

        //Console.WriteLine("test");

        int[] num = new int[9];
        for (int i = 0; i < 9; i++)
        {
            //Console.WriteLine(numt[i]);
            num[i] = int.Parse(numt[i]);
        }

        //Console.WriteLine("test2");

        bool[] b = new bool[9];
        for (int i = 0; i < 9; i++) { b[i] = false; }

        int N = int.Parse(Console.ReadLine());
        for (int i = 0; i < N; i++)
        {
            int input = int.Parse(Console.ReadLine());
            for (int j = 0; j < 9; j++)
            {
                //Console.WriteLine(num[j] + " " + input);
                if (num[j] == input) b[j] = true;
                //Console.WriteLine(b[j]);
            }
        }

        if (b[0] && b[1] && b[2]) Console.WriteLine("Yes");
        else if (b[3] && b[4] && b[5]) Console.WriteLine("Yes");
        else if (b[6] && b[7] && b[8]) Console.WriteLine("Yes");
        else if (b[0] && b[3] && b[6]) Console.WriteLine("Yes");
        else if (b[1] && b[4] && b[7]) Console.WriteLine("Yes");
        else if (b[2] && b[5] && b[8]) Console.WriteLine("Yes");
        else if (b[0] && b[4] && b[8]) Console.WriteLine("Yes");
        else if (b[2] && b[4] && b[6]) Console.WriteLine("Yes");
        else Console.WriteLine("No");
    }
}
/*
         1 2 3
         4 5 6
         7 8 9
         */