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.Linq;
using System.Collections.Generic;
using static System.Console;
using static System.Math;

namespace ConsoleApp
{
    class Program
    {

        static void Main(string[] args)
        {
            var a = new int[3, 3];
            var exi = new bool[3, 3];
            for (int i = 0; i < 3;i++)
            {
                var ar = ReadLine().Split().Select(int.Parse).ToArray();
                for (int j = 0; j < 3;j++)
                {
                    a[i, j] = ar[j];
                }
            }

            var n = int.Parse(ReadLine());
            var b = new int[n];
            for (int i = 0; i < n;i++)
                b[i] = int.Parse(ReadLine());

            for (int i = 0; i < n;i++)
            {
                for (int x = 0; x < 3;x++)
                    for (int y = 0; y < 3;y++)
                    {
                        if (b[i] == a[x, y])
                        {
                            exi[x, y] = true;
                            break;
                        }
                    }

            }

            //judge
            for (int i = 0; i < 3; i++)
            {
                if (exi[i, 0] && exi[i, 1] && exi[i, 2]) { WriteLine("Yes"); return; }
                if (exi[0,i] && exi[1,i] && exi[2,i]){WriteLine("Yes"); return; }

            }
            if(exi[0,0] && exi[1,1] && exi[2,2] ){ WriteLine("Yes"); return; }
            if (exi[0, 2] && exi[1, 1] && exi[2, 0]) { WriteLine("Yes"); return; }

            WriteLine("No");
        }   
        
       

    }

}