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: Wrong Answer)

import java.util.Scanner;
import java.util.ArrayList;

public class Main {
    public static void main(String[] args) throws Exception {

        // 157-B問題 途中までやっている
        // 現状、ビンゴになっているか判定する処理を記述している最中

        Scanner scanner = new Scanner(System.in);
        String topInputNumber = scanner.nextLine();
        String centerInputNumber = scanner.nextLine();
        String bottomInputNumber = scanner.nextLine();
        String countInputNumber = scanner.nextLine();
        int count = Integer.parseInt(countInputNumber);
        String[] inputChoiceNumber = new String[count];
        for (int index = 0; index < count; index++) {
            inputChoiceNumber[index] = scanner.nextLine();
        }
        scanner.close();

        String[] editedTopInputNumber = topInputNumber.split(" ");
        String[] editedCenterInputNumber = centerInputNumber.split(" ");
        String[] editedBottomInputNumber = bottomInputNumber.split(" ");
        String[][] inputNumber = {editedTopInputNumber, editedCenterInputNumber, editedBottomInputNumber};

        ArrayList<boolean[]> checkFlagList = new ArrayList<>();

        // ビンゴカードとの照合
        for (String[] checkRow : inputNumber) {
            boolean[] checkFlag = new boolean[3];
            for (int index = 0; index < checkRow.length; index++) {
                for (String choiceNumber : inputChoiceNumber) {
                    if (choiceNumber.equals(checkRow[index])) {
                        checkFlag[index] = true;
                    }
                }
            }
            checkFlagList.add(checkFlag);
        }

        boolean answer = false;

        // ビンゴしているかチェック
        if (checkFlagList.get(0)[0]){
            if (checkFlagList.get(0)[1]) {
                if (checkFlagList.get(0)[2]) {
                    answer = true;
                }
            } else if (checkFlagList.get(1)[1]) {
                if (checkFlagList.get(2)[2]) {
                    answer = true;
                }
            } else if (checkFlagList.get(1)[0]) {
                if (checkFlagList.get(2)[0]) {
                    answer = true;
                }
            }
        } else if (checkFlagList.get(0)[1]) {
            if (checkFlagList.get(1)[1]) {
                if (checkFlagList.get(2)[1]){
                    answer = true;
                }
            }
        } else if (checkFlagList.get(0)[2]) {
            if (checkFlagList.get(1)[2]) {
                if (checkFlagList.get(2)[2]) {
                    answer = true;
                }
            } else if (checkFlagList.get(1)[1]) {
                if (checkFlagList.get(2)[0]) {
                    answer = true;
                }
            }
        } else if (checkFlagList.get(1)[0]) {
            if (checkFlagList.get(1)[1]) {
                if (checkFlagList.get(1)[2]) {
                    answer = true;
                }
            }
        } else if (checkFlagList.get(2)[0]) {
            if (checkFlagList.get(2)[1]) {
                if (checkFlagList.get(2)[2]) {
                    answer = true;
                }
            }
        }

        if (answer) {
            System.out.println("Yes");
        } else {
            System.out.println("No");
        }

    }
}