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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;
import java.util.Map.Entry;
 
class Main {
	 static int mod =  (int) (Math.pow(10,9)+7);
//	 static int mod = 998244353;
   public static void main(String[] args) {
	   
       Scanner sc = new Scanner(System.in);
       int[] b=new int[9];
       for(int i=0;i<9;i++){
    	   b[i]=sc.nextInt();
       }
       int  N = sc.nextInt();
       boolean[] m=new boolean[9];
       for(int i=0;i<N;i++) {
    	   int tmp=sc.nextInt();
    	   for(int j=0;j<9;j++) {
    		   if(tmp==b[j]) {
    			   m[j]=true;
    		   }
    	   }
       }
       String ans="No";
       if(m[0]&&m[1]&&m[2] ||
    	    	m[3]&&m[4]&&m[5] ||
    	    	m[6]&&m[7]&&m[8] ||
    	    	m[0]&&m[3]&&m[6] ||
    	    	m[1]&&m[4]&&m[7] ||
    	    	m[2]&&m[5]&&m[8] ||
    	    	m[0]&&m[4]&&m[8] ||
    	    	m[2]&&m[4]&&m[6] ) {
    	   ans="Yes";
       }
       System.out.println(ans);
   }
}