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.Generic;
class Program
{
	static void Main(string[] args)
	{
		int[,]A = new int[3,3];
		for(var i=0;i<3;i++){
			string[] str = Console.ReadLine().Split();
			for(var j=0;j<3;j++){
				A[i,j] = int.Parse(str[j]);
			}
		}
		int[,]B = new int[3,3];
		int N = int.Parse(Console.ReadLine());
		for(var h=0;h<N;h++){
			int a1 = int.Parse(Console.ReadLine());
			for(var i=0;i<3;i++){
				for(var j=0;j<3;j++){
					if(A[i,j]==a1){
						B[i,j]=1;
					}
				}
			}
		}
		string ans = "No";
		for(var i=0;i<3;i++){
			bool flag = true;
			for(var j=0;j<3;j++){
				if(B[i,j]==0){
					flag = false;
				}
			}
			if(flag){
				ans = "Yes";
			}
		}
		for(var j=0;j<3;j++){
			bool flag = true;
			for(var i=0;i<3;i++){
				if(B[i,j]==0){
					flag = false;
				}
			}
			if(flag){
				ans = "Yes";
			}
		}
		bool flag2 = true;
		for(var i=0;i<3;i++){
			if(B[i,i]==0){
				flag2 = false;
			}
		}
		if(flag2){
			ans = "Yes";
		}
		flag2 = true;
		for(var i=0;i<3;i++){
			if(B[i,2-i]==0){
				flag2 = false;
			}
		}
		if(flag2){
			ans = "Yes";
		}
		for(var i=0;i<3;i++){
         	for(var j=0;j<3;j++){
              Console.Error.Write(B[i,j]+" ");
            }
          Console.Error.WriteLine();
        }
		Console.WriteLine(ans);
	}
}