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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder.Abc
{
    class QuestionB
    {
        public static void Main(string[] args)
        {
            var sw = new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);

            var a = new int[3][];

            for (int i = 0; i < 3; i++) {
                // 整数配列の入力
                a[i] = Console.ReadLine().Split(' ').Select(x => int.Parse(x)).ToArray();
            }

            // 整数の入力
            int n = int.Parse(Console.ReadLine());

            var b = new int[n];

            for(int i = 0; i < n; i++) {
                b[i] = int.Parse(Console.ReadLine());
            }

            foreach(var bingo in b) {
                for(int x = 0; x < 3; x++) {
                    for(int y = 0; y < 3; y++) {
                        if(a[y][x] == bingo) {
                            a[y][x] = 0;
                        }
                    }
                }
            }

            for(int i =0; i < 3; i++) {
                if(a[i][0] == 0 && a[i][1] == 0 && a[i][2] == 0) {
                    Console.WriteLine("Yes");

                    Console.Out.Flush();
                    return;
                }
            }

            for (int i = 0; i < 3; i++) {
                if (a[0][i] == 0 && a[1][i] == 0 && a[2][i] == 0) {
                    Console.WriteLine("Yes");

                    Console.Out.Flush();
                    return;
                }
            }

            if (a[0][0] == 0 && a[1][1] == 0 && a[2][2] == 0) {
                Console.WriteLine("Yes");

                Console.Out.Flush();
                return;
            }

            if (a[2][0] == 0 && a[1][1] == 0 && a[0][2] == 0) {
                Console.WriteLine("Yes");

                Console.Out.Flush();
                return;
            }

            Console.WriteLine("No");

            Console.Out.Flush();
        }
    }
}