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 B
{
    class Program
    {
        static void Main(string[] args)
        {
            Console.WriteLine(solver() ? "Yes" : "No");
        }
        static bool solver()
        {
            var A = new int[3, 3];
            var isHit = new bool[3, 3];
            for (int i = 0; i < 3; i++)
            {
                var read = Array.ConvertAll(Console.ReadLine().Split(' '), int.Parse);
                for (int j = 0; j < 3; j++)
                {
                    A[i, j] = read[j];
                    isHit[i, j] = false;
                }

            }
            var N = int.Parse(Console.ReadLine());
            for (int i = 0; i < N; i++)
            {
                var read = int.Parse(Console.ReadLine());
                for (int j = 0; j < 3; j++)
                {
                    for (int k = 0; k < 3; k++)
                    {
                        if (A[j, k] == read) isHit[j, k] = true;
                    }
                }
            }

            for (int h = 0; h < 3; h++)
            {
                var result = true;
                for (int v = 0; v < 3; v++)
                {
                    if (!isHit[h, v])
                    {
                        result = false;
                        break;
                    }
                }
                if (result) return true;
            }
            for (int v = 0; v < 3; v++)
            {
                var result = true;
                for (int h = 0; h < 3; h++)
                {
                    if (!isHit[h, v])
                    {
                        result = false;
                        break;
                    }
                }
                if (result) return true;
            }
            if (isHit[0, 0] && isHit[1, 1] && isHit[2, 2]) return true;
            if (isHit[2, 0] && isHit[1, 1] && isHit[0, 2]) return true;
            return false;
        }
    }
}