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;

namespace ConsoleApp1
{
    class Program
    {
        static void Main(string[] args)
        {
            int[,] bingo = new int[3, 3]; 
            for (var i = 0; 3 > i; i++)
            {
                var line = Console.ReadLine().Split(' ');
                for (var j = 0; 3 > j; j++) bingo[i, j] = int.Parse(line[j]);
            }

            var n = int.Parse(Console.ReadLine());
            for (var h = 0; n > h; h++)
            {
                var num = int.Parse(Console.ReadLine());
                for (var i = 0; 3 > i; i++)
                    for (var j = 0; 3 > j; j++)
                        if (bingo[i, j] == num)
                            bingo[i, j] = 0;
            }

            var call1 = 0;
            var call2 = 0;
            var call3 = 0;
            var c1 = 0;
            var c2 = 0;
            var c3 = 0;
            for (var i = 0; 3 > i; i++)
                for (var j = 0; 3 > j; j++)
                {
                    if (i == 0) call1+=bingo[i, j];
                    else if (i == 1) call2+=bingo[i, j];
                    else if (i == 2) call3+=bingo[i, j];
                    if (j == 0) c1 += bingo[i, j];
                    else if (j == 1) c2 += bingo[i, j];
                    else if (j == 2) c3 += bingo[i, j];
                }
            if (bingo[0, 0] + bingo[1, 1] + bingo[2, 2] == 0 || bingo[0,2] + bingo[1,1] + bingo[2, 0] == 0 || c1 == 0 || c2 == 0 || c3 == 0 || call1 == 0 || call2 == 0|| call3 == 0)
            {
                Console.WriteLine("Yes");
            }
            else
            {
                Console.WriteLine("No");
            }
        }
    }
}