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 static System.Console;
using static System.Math;

namespace A_ABC157
{
    class MainClass
    {

        static int[] s1, s2, s3, n;

        public static void Main(string[] args)
        {
            s1 = Array.ConvertAll(ReadLine().Split().ToArray(), int.Parse);
            var d1 = new Dictionary<int, bool>();
            d1.Add(s1[0], false);
            d1.Add(s1[1], false);
            d1.Add(s1[2], false);
            s2 = Array.ConvertAll(ReadLine().Split().ToArray(), int.Parse);
            var d2 = new Dictionary<int, bool>();
            d1.Add(s2[0], false);
            d1.Add(s2[1], false);
            d1.Add(s2[2], false);
            s3 = Array.ConvertAll(ReadLine().Split().ToArray(), int.Parse);
            var d3 = new Dictionary<int, bool>();
            d1.Add(s3[0], false);
            d1.Add(s3[1], false);
            d1.Add(s3[2], false);
            n = Array.ConvertAll(ReadLine().Split().ToArray(), int.Parse);

            for (int i = 0; i < n[0]; i++)
            {
                int[] b = Array.ConvertAll(ReadLine().Split().ToArray(), int.Parse);
                if (d1.ContainsKey(b[0]))
                {
                    d1[b[0]] = true;
                }
            }

            for (int i = 0; i < 3; i++)
            {
                if (d1[s1[i]] == true && d1[s2[i]] == true && d1[s3[i]] == true)
                {
                    WriteLine("Yes");
                    return;
                }
            }
            if (d1[s1[1]] == true && d1[s1[2]] == true && d1[s1[0]] == true)
            {
                WriteLine("Yes");
                return;
            }
            if (d1[s2[1]] == true && d1[s2[2]] == true && d1[s2[0]] == true)
            {
                WriteLine("Yes");
                return;
            }
            if (d1[s3[1]] == true && d1[s3[2]] == true && d1[s3[0]] == true)
            {
                WriteLine("Yes");
                return;
            }

            if (d1[s1[0]] == true && d1[s2[1]] == true && d1[s3[2]] == true)
            {
                WriteLine("Yes");
                return;
            }
            if (d1[s1[2]] == true && d1[s2[1]] == true && d1[s3[0]] == true)
            {
                WriteLine("Yes");
                return;
            }



            WriteLine("No");
        }
    }
}