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 C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.IO;

class Program{
    static void Main(string[] args){
        var A1 = Console.ReadLine().Split();
        var A2 = Console.ReadLine().Split();
        var A3 = Console.ReadLine().Split();
        var sheet = new[] {A1, A2, A3};
        var N = int.Parse(Console.ReadLine());
        var isHoles = new bool[3, 3];
        var selected = new HashSet<string>();
        for (int i = 1; i <= N; i++){
            var b = Console.ReadLine();
            if (selected.Contains(b)) continue;
            for (int r = 0; r < 3; r++){
                for (int c = 0; c < 3; c++){
                    if (b == sheet[r][c]) isHoles[r,c] = true;
                    selected.Add(b);}}}
        var isBingo = false;
        for (int r = 0; r < 3; r++) if (!isBingo) isBingo = isHoles[r, 0] && isHoles[r, 1] && isHoles[r, 2];
        for (int c = 0; c < 3; c++) if (!isBingo) isBingo = isHoles[0, c] && isHoles[1, c] && isHoles[2, c];
        if (!isBingo) isBingo = isHoles[0, 0] && isHoles[1, 1] && isHoles[2, 2];
        if (!isBingo) isBingo = isHoles[0, 2] && isHoles[1, 1] && isHoles[2, 0];
        var answer = isBingo ? "Yes" : "No";
        var writer = new StreamWriter(Console.OpenStandardOutput()) {AutoFlush = false};
        Console.SetOut(writer);
        Console.WriteLine(answer);
        Console.Out.Flush();}}