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: Runtime Error)

import java.util.Scanner;

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

        // 標準入力から値を取得してinput_lineに入れる
        String line1 = sc.nextLine();
        String num1 = line1.substring(0,line1.indexOf(" "));
        String num2 = num1.substring(0,num1.indexOf(" "));
        String num3 = num2.substring(0);
        String line2 = sc.nextLine();
        String num4 = line2.substring(0,line2.indexOf(" "));
        String num5 = num4.substring(0,num4.indexOf(" "));
        String num6 = num5.substring(0);
        String line3 = sc.nextLine();
        String num7 = line3.substring(0,line3.indexOf(" "));
        String num8 = num7.substring(0,num7.indexOf(" "));
        String num9 = num8.substring(0);

        // ArrayList<String> input = new ArrayList<String>();
        // 入力をすべて受け取る
        while(sc.hasNextLine()){
         String inta = sc.nextLine();
        //   if(inta.equals(null)){
        //       break;
        //   }
         	if(inta.equals(num1)) {
         		num1 = "check";
         	} else if(inta.equals(num2)) {
         		num2 = "check";
         	} else if(inta.equals(num3)) {
         		num3 = "check";
         	} else if(inta.equals(num4)) {
         		num4 = "check";
         	} else if(inta.equals(num5)) {
         		num5 = "check";
         	} else if(inta.equals(num6)) {
         		num6 = "check";
         	} else if(inta.equals(num7)) {
         		num7 = "check";
         	} else if(inta.equals(num8)) {
         		num8 = "check";
         	} else if(inta.equals(num9)) {
         		num9 = "check";
         	}
        }
        if(num1.equals("check") && num2.equals("check") && num3.equals("check")) {
        	System.out.println("Yes");
        } else if(num1.equals("check") && num4.equals("check") && num7.equals("check")) {
        	System.out.println("Yes");
        } else if(num1.equals("check") && num5.equals("check") && num9.equals("check")) {
        	System.out.println("Yes");
        } else if(num2.equals("check") && num5.equals("check") && num8.equals("check")) {
        	System.out.println("Yes");
        } else if(num3.equals("check") && num5.equals("check") && num7.equals("check")) {
        	System.out.println("Yes");
        } else if(num3.equals("check") && num6.equals("check") && num9.equals("check")) {
        	System.out.println("Yes");
        } else if(num4.equals("check") && num5.equals("check") && num6.equals("check")) {
        	System.out.println("Yes");
        } else if(num7.equals("check") && num8.equals("check") && num9.equals("check")) {
        	System.out.println("Yes");
        } else {
        	System.out.println("No");
        }

}
}