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.Linq;
using System.Collections.Generic;

class Program
{
	static void Main(string[] args)
	{
		//文字列を読み込む
		int[] A1 = Console.ReadLine().Split(' ').Select(i => int.Parse(i)).ToArray();
		int[] A2 = Console.ReadLine().Split(' ').Select(i => int.Parse(i)).ToArray();
		int[] A3 = Console.ReadLine().Split(' ').Select(i => int.Parse(i)).ToArray();
		
		int N = int.Parse(Console.ReadLine());
		
		for(int i=0; i<N; i++){
			int bi = int.Parse(Console.ReadLine());
			for(int j=0; j<3; j++){
					if(A1[j] == bi){
							A1[j] = 0;
					}
					if(A2[j] == bi){
							A3[j] = 0;
					}
					if(A3[j] == bi){
							A3[j] = 0;
					}
			}
		}
		
		int sumLine1 = A1.Sum();
		int sumLine2 = A2.Sum();
		int sumLine3 = A3.Sum();
		
		int sumColumn1 = A1[0] + A2[0] + A3[0];
		int sumColumn2 = A1[1] + A2[1] + A3[1];
		int sumColumn3 = A1[2] + A2[2] + A3[2];
		
		int sumR = A1[0] + A2[1] + A3[2];
		int sumL = A1[2] + A2[1] + A3[0];
		
        if(sumLine1 == 0 || sumLine2 == 0 || sumLine3 == 0 ||
        sumColumn1 == 0 || sumColumn2 == 0 || sumColumn3 == 0 ||
        sumR == 0 || sumL == 0)
		{
			Console.WriteLine("Yes");
		}else{
			Console.WriteLine("No");
		}
	}
}