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-mcs 6.8.0.105) (judge verdict: Accepted)

using System;
using System.Linq;

class Program
{
	static void Main()
	{
		var cardNumbers = new int[9];
		var isSelecteds = new bool[9];
		for (var i = 0; i < 3; ++i) {
			var a = Array.ConvertAll(Console.ReadLine().Split(new[] { ' ' }), number => int.Parse(number));
			cardNumbers[i * 3] = a[0];
			cardNumbers[i * 3 + 1] = a[1];
			cardNumbers[i * 3 + 2] = a[2];
		}

		var n = int.Parse(Console.ReadLine());
		for (var i = 0; i < n; ++i) {
			var b = int.Parse(Console.ReadLine());
			if (cardNumbers.Contains(b)) {
				isSelecteds[Array.IndexOf(cardNumbers, b)] = true;
			}
		}

		var isBingo = Array.Exists(
			new[] {
				new[]{ 0, 1, 2 },
				new[]{ 3, 4, 5 },
				new[]{ 6, 7, 8 },
				new[]{ 0, 3, 6 },
				new[]{ 1, 4, 7 },
				new[]{ 2, 5, 8 },
				new[]{ 0, 4, 8 },
				new[]{ 2, 4, 6 },
			},
			indexes => Array.TrueForAll(indexes, index => isSelecteds[index]));

		Console.WriteLine(isBingo ? "Yes" : "No");

		//デバッグ実行での確認用。そのまま提出しても問題なし
		Console.ReadKey();
	}
}