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;
using System.Collections.Generic;
using static System.Console;

class Program{
  static void Main(){
	var board = new string[3,3];
    var n = 0;
    
    for(var i = 0;i < 3;i++){
    	var x = ReadLine().Split(' ');
        for(var j = 0;j < 3;j++){
        	board[i,j] = x[j];
        }
    }
    
    n = int.Parse(ReadLine());
    
    for(var i = 0;i < n;i++){
    	var x = ReadLine();
      	for(var j = 0;j < 3;j++){
          	for(var k = 0;k < 3;k++){
				if(board[j,k].Equals(x)){
    	        	board[j,k] = "101";
            	}
            }
        }
    }
    
    for(var i = 0;i < 3;i++){
        var x = new string[3];
      	var y = new string[3];
        for(var j = 0;j < 3;j++){
        	x[j] = board[i,j];
          	y[j] = board[j,i];
        }
      	if(x.All(a => a.Equals("101"))){
          	Write("Yes");
          	return;
        }else if(y.All(b => b.Equals("101"))){
          	Write("Yes");
          	return;
        } 
    }

        var s = new string[3];
      	var t = new string[3];
    
    int o,p;
    
    for(o = 0,p = 2 ;o < 3;o++,p--){
		s[o] = board[o,p];
      	t[o] = board[p,p];
    }
    
      	if(s.All(a => a.Equals("101"))){
          	Write("Yes");
          	return;
        }else if(t.All(b => b.Equals("101"))){
          	Write("Yes");
          	return;
        }
    
    Write("No");
    

  }
}