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: Wrong Answer)

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

namespace Bingo
{
    class Program
    {
        static void Main(string[] args)
        {
            int numberRows = 3;
            int numberColumns = 3;
            double[,] input = new double[numberRows, numberColumns];


            for (int i = 0; i < numberRows; i++)
            {
                Console.WriteLine("Enter value for {0} Row", i + 1);
                string[] temp = Console.ReadLine().Split(' ');

                for (int y = 0; y < numberColumns; y++)
                {
                    input[i, y] = Convert.ToDouble(temp[y]);
                }

            }

            List<double> checkList = new List<double>();
            for (int i = 0; i < numberRows; i++)
            {
                for (int y = 0; y < numberColumns; y++)
                {
                    checkList.Add(input[i, y]);
                }
            }

            if(checkList.Count() != checkList.Distinct().Count())
            {
                Console.WriteLine("Invalid Input");
                return;
            }

            int bingoNumbers = Convert.ToInt32(Console.ReadLine());

            HashSet<double> array = new HashSet<double>();

            for (int i = 0; i < bingoNumbers; i++)
            {
                int inputNumber = Convert.ToInt32(Console.ReadLine());
                array.Add(inputNumber);
            }


            for (int i = 0; i < numberRows; i++)
            {
                int counterRows = 0;
                for (int y = 0; y < numberColumns; y++)
                {
                    if (array.Any(x => x == (input[i, y])))
                    {
                        counterRows++;
                    }
                }
                if (counterRows == 3)
                {
                    Console.WriteLine("Yes");
                    return;
                }
            }

            for (int y = 0; y < numberColumns; y++)
            {
                int counterColumns = 0;
                for (int i = 0; i < numberRows; i++)
                {
                    if (array.Any(x => x == (input[i, y])))
                    {
                        counterColumns++;
                    }
                }
                if (counterColumns == 3)
                {
                    Console.WriteLine("Yes");
                    return;
                }
            }
            if (array.Any(x => x == input[0, 0]) && array.Any(x => x == input[1, 1]) && array.Any(x => x == input[2, 2]))
            {
                Console.WriteLine("Yes");
                return;
            }

            if (array.Any(x => x == input[0, 2]) && array.Any(x => x == input[1, 1]) && array.Any(x => x == input[2, 0]))
            {
                Console.WriteLine("Yes");
                return;
            }

            Console.WriteLine("No");
        }
    }
}