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)

/*
 *  author : Atul Anand   
 *  created on : Tue Mar 31 2020
 */

import java.io.*;
import java.util.*;

public class Main{

    public static void main(String[] args) throws IOException {
        int A[][] = new int[3][3];
        for(int i = 0; i < 3; i++){
            for(int j = 0; j < 3; j++){
                A[i][j] = in.nextInt();
            }
        }

        int N = in.nextInt();
        for(int i = 0; i < N; i++){
            int b = in.nextInt();
            for(int x = 0; x < 3; x++){
                for(int y = 0; y < 3; y++){
                    if(A[x][y] == b){
                        A[x][y] = 0;
                        break;
                    }
                }
            }
        }
        
        if(checkRow(A) || checkColumn(A) || checkDiagonal(A)){
            println("Yes");
        }
        else{
            println("No");
        }

        in.close();
        out.close();
    }

    public static boolean checkRow(int A[][]){
        for(int i = 0; i < 3; i++){
            boolean flag = true;
            for(int j = 0; j < 3; j++){
                if(A[i][j] != 0){
                    flag = false;
                }
            }
            if(flag){
                return true;
            }
        }

        return false;
    }

    public static boolean checkColumn(int A[][]){
        for(int j = 0; j < 3; j++){
            boolean flag = true;
            for(int i = 0; i < 3; i++){
                if(A[i][j] != 0){
                    flag = false;
                }
            }
            if(flag){
                return true;
            }
        }

        return false;
    }

    public static boolean checkDiagonal(int A[][]){
        // left diagonal
        if(A[0][0] == 0 && A[1][1] == 0 && A[2][2] == 0){
            return true;
        }
        // right diagonal
        if(A[0][2] == 0 && A[1][1] == 0 && A[2][0] == 0){
            return true;
        }

        return false;
    }

    static int MIN = Integer.MIN_VALUE;
    static int MAX = Integer.MAX_VALUE;
    static Reader in = new Reader();
    static PrintWriter out = new PrintWriter(System.out);

    static void read(int arr[], int N) throws IOException { 
    	for(int i = 0; i < N; i++){ 
    		arr[i] = in.nextInt(); 
    	} 
    }
    
    static void read(long arr[], int N) throws IOException { 
    	for(int i = 0; i < N; i++){ 
    		arr[i] = in.nextLong(); 
    	} 
    }
    
    static void read(String arr[], int N) throws IOException { 
    	for(int i = 0; i < N; i++){ 
    		arr[i] = in.next(); 
    	} 
    }
    
    static void print(Object O) {  
    	out.print(O); 
    }
    
    static void println(Object O) { 
    	out.println(O); 
    }
    
    static void println(int arr[]) { 
    	for(int i = 0; i < arr.length; i++){ 
    		print(arr[i]+" "); 
    	} 
    	println(""); 
    }

    static void println(int arr[][]) { 
    	for(int i = 0; i < arr.length; i++){ 
    		println(arr[i]); 
    	}
    }
    
    static void debug(Object O) { 
    	System.out.println(O); 
    }
}

class Reader {
    BufferedReader reader;
    StringTokenizer tokenizer;

    Reader() {
        reader = new BufferedReader(new InputStreamReader(System.in));
        tokenizer = new StringTokenizer("");
    }

    String next() throws IOException {
        while (!tokenizer.hasMoreTokens() ) { 
            tokenizer = new StringTokenizer(reader.readLine()); 
        }
        return tokenizer.nextToken();
    }

    int nextInt() throws IOException { 
        return Integer.parseInt(next()); 
    }
    
    double nextDouble() throws IOException { 
        return Double.parseDouble(next());
    }
    
    long nextLong() throws IOException { 
        return Long.parseLong(next()); 
    }
    
    String nextLine() throws IOException { 
        return reader.readLine(); 
    }
    
    void close() throws IOException { 
        reader.close(); 
    }
}