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;

namespace Atcoder
{
    class Program
    {
        private static int[,] bingo = new int[3, 3];
        private static bool[,] bool_bingo = new bool[3, 3];
        static void checkVal(int value)
        {
            for (int i = 0; i < 3; i++)
            {
                for (int j = 0; j < 3; j++)
                {
                    if (bingo[i, j] == value) 
                    {
                        bool_bingo[i, j] = true;
                    }
                }
            }
        }
        
        static bool checkBingo()
        {
            //check row-wise
            for (int i = 0; i < 3; i++)
            {
                int j = 0;
                if (bool_bingo[i, j] && bool_bingo[i, j + 1] && bool_bingo[i, j + 2])
                {
                    return true;
                }
            }
            //check column-wise
            for (int j = 0; j < 3; j++)
            {
                int i = 0;
                if (bool_bingo[i, j] && bool_bingo[i + 1, j] && bool_bingo[i + 2, j])
                {
                    return true;
                }
            }
            if (bool_bingo[0, 0] && bool_bingo[1, 1] && bool_bingo[2, 2]) 
            {
                return true;
            }
            if (bool_bingo[2, 0] && bool_bingo[1, 1] && bool_bingo[0, 2])
            {
                return true;
            }
            return false;
        }

        static void Main(string[] args)
        {
            int N = 0;
            for (int i = 0; i < 3; i++)
            {
                string[] s = Console.ReadLine().Split();
                for (int j = 0; j < 3; j++)
                {
                    bingo[i, j] = int.Parse(s[j]);
                    bool_bingo[i, j] = false;
                }
            }
            N = int.Parse(Console.ReadLine());
            while (N != 0)
            {
                checkVal(int.Parse(Console.ReadLine()));
                N--;
            }
            if (checkBingo()) 
            {
                Console.WriteLine("Yes");
            }
            else
            {
                Console.WriteLine("No");
            }
        }
    }
}