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;

class Program
{
    static string InputPattern = "InputX";

    static List<string> GetInputList()
    {
        var WillReturn = new List<string>();

        if (InputPattern == "Input1") {
            WillReturn.Add("84 97 66");
            WillReturn.Add("79 89 11");
            WillReturn.Add("61 59 7");
            WillReturn.Add("7");
            WillReturn.Add("89");
            WillReturn.Add("7");
            WillReturn.Add("87");
            WillReturn.Add("79");
            WillReturn.Add("24");
            WillReturn.Add("84");
            WillReturn.Add("30");
            //Yes
        }
        else if (InputPattern == "Input2") {
            WillReturn.Add("41 7 46");
            WillReturn.Add("26 89 2");
            WillReturn.Add("78 92 8");
            WillReturn.Add("5");
            WillReturn.Add("6");
            WillReturn.Add("45");
            WillReturn.Add("16");
            WillReturn.Add("57");
            WillReturn.Add("17");
            //No
        }
        else if (InputPattern == "Input3") {
            WillReturn.Add("60 88 34");
            WillReturn.Add("92 41 43");
            WillReturn.Add("65 73 48");
            WillReturn.Add("10");
            WillReturn.Add("60");
            WillReturn.Add("43");
            WillReturn.Add("88");
            WillReturn.Add("11");
            WillReturn.Add("48");
            WillReturn.Add("73");
            WillReturn.Add("65");
            WillReturn.Add("41");
            WillReturn.Add("92");
            WillReturn.Add("34");
            //Yes
        }
        else {
            string wkStr;
            while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
        }
        return WillReturn;
    }

    static void Main()
    {
        List<string> InputList = GetInputList();

        int[] wkArr = { };
        Action<string> SplitAct = pStr =>
            wkArr = pStr.Split(' ').Select(X => int.Parse(X)).ToArray();

        int[,] Ban = new int[3, 3];
        for (int Y = 0; Y <= 2; Y++) {
            SplitAct(InputList[Y]);
            for (int X = 0; X <= 2; X++) {
                Ban[Y, X] = wkArr[X];
            }
        }

        var BList = new List<int>();
        foreach (string EachStr in InputList.Skip(4)) {
            BList.Add(int.Parse(EachStr));
        }
        BList.ForEach(pX => SetZero(Ban, pX));

        // クリア判定
        bool IsClear = false;
        if (Ban[0, 0] == 0 && Ban[1, 0] == 0 && Ban[2, 0] == 0) IsClear = true;
        if (Ban[0, 1] == 0 && Ban[1, 1] == 0 && Ban[2, 1] == 0) IsClear = true;
        if (Ban[0, 2] == 0 && Ban[1, 2] == 0 && Ban[2, 2] == 0) IsClear = true;

        if (Ban[0, 0] == 0 && Ban[0, 1] == 0 && Ban[0, 2] == 0) IsClear = true;
        if (Ban[1, 0] == 0 && Ban[1, 1] == 0 && Ban[1, 2] == 0) IsClear = true;
        if (Ban[2, 0] == 0 && Ban[2, 1] == 0 && Ban[2, 2] == 0) IsClear = true;

        if (Ban[0, 0] == 0 && Ban[1, 1] == 0 && Ban[2, 2] == 0) IsClear = true;
        if (Ban[0, 2] == 0 && Ban[1, 1] == 0 && Ban[2, 0] == 0) IsClear = true;

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

    //2次元配列の指定した値を0に変更
    static void SetZero(int[,] pBan, int pNum)
    {
        for (int X = 0; X <= pBan.GetUpperBound(0); X++) {
            for (int Y = 0; Y <= pBan.GetUpperBound(1); Y++) {
                if (pBan[X, Y] == pNum) {
                    pBan[X, Y] = 0;
                }
            }
        }
    }
}