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.Collections.Generic;
using System.Linq;

namespace CSharpSample01
{


	class Program
	{
		static void Main(string[] args)
		{
			var A = new int[3, 3];

			// ビンゴの中身セット
			for (int x = 0; x < 3; x++)
			{
				var inputNum = Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
				for (int y = 0; y < 3; y++)
				{
					A[x, y] = inputNum[y];
				}
			}

			var N = int.Parse(Console.ReadLine());

			for (int i = 0; i < N; i++)
			{
				var b = int.Parse(Console.ReadLine());

				// ビンゴの中身チェック
				for (int x = 0; x < 3; x++)
				{
					for (int y = 0; y < 3; y++)
					{
						if (b == A[x, y])
						{
							A[x, y] += 100;
						}
					}
				}
			}

			var flag = false;

			// ビンゴの中身チェック
			for (int x = 0; x < 3; x++)
			{
				int num = 0;
				for (int y = 0; y < 3; y++)
				{
					if (A[x, y] > 100)
					{
						num++;
					}
				}

				if (num == 3)
				{
					flag = true;
					break;
				}
			}


			if (!flag)
			{
				// ビンゴの中身チェック
				for (int x = 0; x < 3; x++)
				{
					int num = 0;
					for (int y = 0; y < 3; y++)
					{
						if (A[y, x] > 100)
						{
							num++;
						}
					}

					if (num == 3)
					{
						flag = true;
						break;
					}
				}
			}

			if (!flag)
			{
				// ビンゴの中身チェック
				if (A[0, 0] > 100 && A[1, 1] > 100 & A[2, 2] > 100)
				{
					flag = true;
				}
			}

			if (!flag)
			{
				// ビンゴの中身チェック
				if (A[0, 2] > 100 && A[1, 1] > 100 & A[2, 0] > 100)
				{
					flag = true;
				}

			}


			if (flag)
			{
				Console.WriteLine("Yes");
			}
			else
			{
				Console.WriteLine("No");
			}
		}
	}
}