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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.HashMap;
import java.util.Map;
import java.util.StringTokenizer;

public class Main {
    static PrintWriter out;

    public static void main(String[] args) throws IOException {
        out = new PrintWriter(new OutputStreamWriter(System.out));
        CF_Reader in = new CF_Reader();

        int[][] grid = new int[3][3];
        for (int r = 0; r < 3; r++) for (int c = 0; c < 3; c++) grid[r][c] = in.intNext();
        int n = in.intNext();
        Map<Integer, Boolean> seen = new HashMap<>();
        for (int t = 0; t < n; t++) seen.put(in.intNext(), true);

        out.println(solve(grid, seen));

        out.close();
    }

    static String solve(int[][] grid, Map<Integer, Boolean> seen) {
        for (int r = 0; r < 3; r++) {
            if (seen.containsKey(grid[r][0]) && seen.containsKey(grid[r][1]) && seen.containsKey(grid[r][2])) return "Yes";
            if (seen.containsKey(grid[0][r]) && seen.containsKey(grid[1][r]) && seen.containsKey(grid[2][r])) return "Yes";
        }
        if (seen.containsKey(grid[0][0]) && seen.containsKey(grid[1][1]) && seen.containsKey(grid[2][2])) return "Yes";
        if (seen.containsKey(grid[2][0]) && seen.containsKey(grid[1][1]) && seen.containsKey(grid[0][2])) return "Yes";
        return "No";
    }

    static class CF_Reader {
        BufferedReader br;
        StringTokenizer st;

        public CF_Reader() throws IOException {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        String next() throws IOException {
            while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(br.readLine().trim());
            return st.nextToken();
        }

        long longNext() throws IOException {
            return Long.parseLong(next());
        }

        int intNext() throws IOException {
            return Integer.parseInt(next());
        }

        double doubleNext() throws IOException {
            return Double.parseDouble(next());
        }

        char charNext() throws IOException {
            return next().charAt(0);
        }

        String line() throws IOException {
            return br.readLine().trim();
        }
    }
}