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 System.Text;
using System.Threading.Tasks;

namespace ConsoleApp1
{
    class Program
    {
        static void Main(string[] args)
        {
            var row1 = Console.ReadLine().Split(' ').Select(c => int.Parse(c)).ToArray();
            var row2 = Console.ReadLine().Split(' ').Select(c => int.Parse(c)).ToArray();
            var row3 = Console.ReadLine().Split(' ').Select(c => int.Parse(c)).ToArray();

            var board = new Board(row1, row2, row3);

            var n = int.Parse(Console.ReadLine());

            for (int i = 0; i < n; i++)
            {
                var num = int.Parse(Console.ReadLine());
                board.SetNum(num);
            }

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

    class Board
    {
        IReadOnlyList<Cell> cells;

        public Board(int[] row1, int[] row2, int[] row3)
        {
            var list = new List<Cell>();
            list.AddRange(row1.Select((r, i) => new Cell(0, i, r)));
            list.AddRange(row2.Select((r, i) => new Cell(1, i, r)));
            list.AddRange(row3.Select((r, i) => new Cell(2, i, r)));
            this.cells = list;
        }

        internal bool GetResult()
        {
            //縦
            for (int i = 0; i <= 2; i++)
            {
                if (cells.Where(c => c.ClmIdx == i).All(c => c.IsSet)) return true;
            }
            //横
            for (int i = 0; i <= 2; i++)
            {
                if (cells.Where(c => c.RowIdx == i).All(c => c.IsSet)) return true;
            }
            //斜め
            if (new[] { cells[0], cells[4], cells[8] }.All(c => c.IsSet)) return true;
            if (new[] { cells[2], cells[4], cells[6] }.All(c => c.IsSet)) return true;

            return false;
        }

        internal void SetNum(int num)
        {
            var target = cells.FirstOrDefault(c => c.Num == num);
            if (target != null)
            {
                target.IsSet = true;
            }
        }
    }

    class Cell
    {
        public bool IsSet { get; set; }
        public int Num { get; }

        public int RowIdx { get; }
        public int ClmIdx { get; }

        public Cell(int row, int clm, int num)
        {
            this.RowIdx = row;
            this.ClmIdx = clm;
            this.Num = num;
        }
    }

}