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)

namespace AtCoderCS
{
    using System;
    using System.Collections.Generic;
    using System.IO;
    using System.Text;
    using static System.Console;
    using static System.Math;

    class Program
    {
        void Solve()
        {
            var A = new int[3, 3];
            for (var i = 0; i < 3; i++)
            {
                for (var j = 0; j < 3; j++)
                {
                    A[i, j] = cin.Int;
                }
            }

            var N = cin.Int;
            var b = new int[N];
            for (var i = 0; i < N; i++)
            {
                b[i] = cin.Int;
            }

            var set = new HashSet<int>(b);
            var flag = false;
            var tmp = false;
            // h 
            for (var i = 0; i < 3; i++)
            {
                tmp = true;
                for (var j = 0; j < 3; j++)
                {
                    tmp &= set.Contains(A[i, j]);
                }

                flag |= tmp;
            }

            // v 
            tmp = true;
            for (var i = 0; i < 3; i++)
            {
                for (var j = 0; j < 3; j++)
                {
                    tmp &= set.Contains(A[j, i]);
                }

                flag |= tmp;
            }

            flag |= tmp;
            // \ 
            tmp = true;
            for (var i = 0; i < 3; i++)
            {
                tmp &= set.Contains(A[i, i]);
            }

            flag |= tmp;
            // / 
            tmp = true;
            for (var i = 0; i < 3; i++)
            {
                tmp &= set.Contains(A[i, 2 - i]);
            }

            flag |= tmp;

            WriteLine(flag ? "Yes" : "No");
        }

        private SimpleInput cin = new SimpleInput();
        private SimpleOutput cout = new SimpleOutput();

        void Stream()
        {
            Solve();
            cout.Flush();
        }

        static void Main(string[] args)
            => new Program().Stream();
    }

    #region IO

    class SimpleInput
    {
        private string[] _nextBuffer;
        private int _bufferCnt;
        private readonly char[] _cs = new char[] {' ', '"', ','};

        public SimpleInput()
        {
            _nextBuffer = new string[0];
            _bufferCnt = 0;
        }

        string Next()
        {
            if (_bufferCnt < _nextBuffer.Length) return _nextBuffer[_bufferCnt++];
            var st = ReadLine();
            while (st == string.Empty) st = ReadLine();
            if (st != null) _nextBuffer = st.Split(_cs, StringSplitOptions.RemoveEmptyEntries);
            _bufferCnt = 0;
            return _nextBuffer[_bufferCnt++];
        }

        public string String => Next();
        public char Char => char.Parse(String);
        public int Int => int.Parse(String);
        public long Long => long.Parse(String);
        public double Double => double.Parse(String);
    }

    class SimpleOutput
    {
        private readonly StreamWriter _sw = new StreamWriter(OpenStandardOutput())
        {
#if DEBUG
            AutoFlush = true
#else
            AutoFlush = false
#endif
        };

        public SimpleOutput()
        {
            SetOut(_sw);
        }

        public void Flush() => Out.Flush();
    }

    #endregion
}