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.io.FilePermission;
import java.util.Arrays;
import java.util.Scanner;

class Main{
    public static void main(String args[]){
        Scanner sc = new Scanner(System.in);

        Bingo bingo = new Bingo();
        for(int i=0;i<3;i++){
            for(int j=0;j<3;j++){
                bingo.setData(i, j, sc.nextInt());
            }
            sc.nextLine();
        }
        int N = sc.nextInt();
        boolean FLG = false;
        for(int i=0;i<N;i++){
            int b =  sc.nextInt();
            sc.nextLine();

            for(int j=0 ; j<3 ; j++){
                for(int k=0 ; k<3 ; k++){
                    if(bingo.getData(j, k) == b){
                        bingo.setHit(j, k);
                    }
                }
            }
            for(int j=0; j<3; j++){
                if(bingo.checkVertical(j) || bingo.checkCross(j)){
                    FLG = true;
                    break;
                }
            }
            if(bingo.checkDiagonal()) FLG = true;
            if(FLG) break;
        }
        if(FLG){
            System.out.println("Yes");
        }else{
            System.out.println("No");
        }
        sc.close();
    }
}
class Bingo{
    private int data[][];
    private boolean hit[][];
    Bingo(){
        this.data = new int[3][3];
        hit = new boolean[3][3];
        for(boolean[] row: hit) Arrays.fill(row, false);
    }
    void setData(int i, int j, int value){
        data[i][j] = value;
    }
    int getData(int i, int j){
        return data[i][j];
    }
    void setHit(int i, int j){
        hit[i][j] = true;
    }   
    boolean getHit(int i, int j){
        return hit[i][j];
    }
    boolean checkVertical(int index){
        if(hit[index][0] && hit[index][1] && hit[index][2]) return true;
        return false;
    }
    boolean checkCross(int index){
        if(hit[0][index] && hit[1][index] && hit[2][index])return true;
        return false;
    }
    boolean checkDiagonal(){
        if(hit[0][0] && hit[1][1] && hit[2][2])return true;
        if(hit[0][2] && hit[1][1] && hit[2][0])return true;
        return false;
    }
}