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: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;

namespace atcoder
{
    class Program
    {
        static bool[] cardState = new bool[9];
        static int[] card;
        static void Main(string[] args)
        {
            var tmp = Console.ReadLine().Split(' ').Select(num => int.Parse(num));
            tmp = tmp.Concat(Console.ReadLine().Split(' ').Select(num => int.Parse(num)));
            card = tmp.Concat(Console.ReadLine().Split(' ').Select(num => int.Parse(num))).ToArray();
            var n = int.Parse(Console.ReadLine());
            for (var i = 0; i < n; i++)
            {
                TakeNum();
            }

            Console.WriteLine(Bingo() ? "Yes" : "No");
        }

        private static void TakeNum()
        {
            var num = int.Parse(Console.ReadLine());
            for (var i = 0; i < 9; i++)
            {
                if (card[i] == num)
                {
                    cardState[i] = true;
                }
            }
        }
        private static bool Bingo()
        {
            return cardState[4] && (cardState[0] && cardState[8]
                || cardState[1] && cardState[7] || cardState[2]
                && cardState[6] || cardState[3] && cardState[5]);
        }
    }
}