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.Diagnostics;
using System.IO;
using System.Linq;

namespace MyProject
{
    class Program
    {
        static void Main(string[] args)
        {
#if Local
            var sw = new Stopwatch();
            sw.Start();
            Console.SetIn(new StreamReader("input.in"));
#endif

            var solver = new Solver();
            solver.Solve();
#if Local
            Console.WriteLine($"{sw.ElapsedMilliseconds}ms");
#endif
        }
    }

    class Solver
    {
        public void Solve()
        {
            var A = new List<List<int>>();
            foreach (var i in Enumerable.Range(0, 3))
            {
                A.Add(Console.ReadLine().Split().Select(elem => int.Parse(elem)).ToList());
            }

            // 穴をあける
            var N = int.Parse(Console.ReadLine());
            foreach (var i in Enumerable.Range(0, N))
            {
                var b = int.Parse(Console.ReadLine());
                var coordinate = Coordinate.GetHitCoordinate(A, b);
                if (coordinate != null)
                {
                    A[coordinate.I][coordinate.J] = 0;
                }
            }

            // ビンゴチェック
            var answer = "No";
            do
            {
                // 横
                foreach (var i in Enumerable.Range(0, 3))
                {
                    if (A[i][0] == 0 && A[i][1] == 0 && A[i][2] == 0)
                    {
                        answer = "Yes";
                        break;
                    }
                }

                if (answer == "Yes")
                {
                    break;
                }

                // 縦
                foreach (var j in Enumerable.Range(0, 3))
                {
                    if (A[0][j] == 0 && A[1][j] == 0 && A[2][j] == 0)
                    {
                        answer = "Yes";
                        break;
                    }
                }

                if (answer == "Yes")
                {
                    break;
                }

                // 斜め
                {
                    if (A[0][0] == 0 && A[1][1] == 0 && A[2][2] == 0)
                    {
                        answer = "Yes";
                        break;
                    }

                    if (A[0][2] == 0 && A[1][1] == 0 && A[2][0] == 0)
                    {
                        answer = "Yes";
                        break;
                    }
                }
            }
            while (false);

            Console.WriteLine(answer);
        }

    }

    class Coordinate
    {
        public int I { get; set; }
        public int J { get; set; }

        public static Coordinate GetHitCoordinate(List<List<int>> A, int item)
        {
            foreach (var i in Enumerable.Range(0, A.Count))
            {
                foreach (var j in Enumerable.Range(0, A[i].Count))
                {
                    if (item == A[i][j])
                    {

                        return new Coordinate { I = i, J = j };
                    }
                }
            }

            return null;
        }
    }
}