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-mcs 6.8.0.105) (judge verdict: Accepted)

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

namespace atcoder
{
    public class Program
    {
        public static void Main(string[] args)
        {
            int[,] card = new int[3, 3];

            for (int i = 0; i < 3; i++)
            {
                int c = 0;
                foreach (var v in Console.ReadLine().Split(' '))
                    card[i, c++] = int.Parse(v);
            }

            int N = int.Parse(Console.ReadLine());
            for (int i = 0; i < N; i++)
            {
                Bingo(card, int.Parse(Console.ReadLine()));
            }

            Check(card);
        }

        private static void Bingo(int[,] card, int num)
        {
            for (int i = 0; i < 3; i++)
            {
                for (int j = 0; j < 3; j++)
                {
                    if (card[i, j] == num)
                        card[i, j] = -0;
                }
            }
        }

        private static void Check(int[,] card)
        {
            int sum3 = 0;
            int sum4 = 0;

            for (int i = 0; i < 3; i++)
            {
                int sum = 0;
                int sum2 = 0;

                for (int j = 0; j < 3; j++)
                {
                    sum += card[i, j];
                    sum2 += card[j, i];
                }

                if (sum == 0 || sum2 == 0)
                {
                    Console.WriteLine("Yes");
                    return;
                }

                sum3 += card[i, i];
                sum4 += card[i, 2 - i];
            }

            if (sum3 == 0 || sum4 == 0)
            {
                Console.WriteLine("Yes");
                return;
            }

            Console.WriteLine("No");
        }
    }
}