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# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Linq;

namespace b
{
    class Program
    {
        static void Main(string[] args)
        {
            var board = new int[3,3];

            for (var r = 0; r < 3; ++r) {
                Console.ReadLine().Split(' ')
                .Select((x, c) => {
                    board[c, r] = int.Parse(x); 
                    return 0;
                })
                .All(_ => true);
            }

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

            var hits = new bool[3,3];

            for (var i = 0; i < n; ++i) {
                var ball = int.Parse(Console.ReadLine());

                for (var r = 0; r < 3; ++r) {
                    for (var c = 0; c< 3; ++c) {
                        if (board[c, r] == ball) {
                            hits[c, r] = true;
                            goto loopOut; 
                        }
                    }
                }
                loopOut:;
            }

            var ans = "No";

            for (var r = 0; r < 3; ++r) {
                if (Enumerable.Range(0, 3).All(c => hits[c, r])) {
                    ans = "Yes";
                    goto result;
                }
            }
            if (ans == "No") {
                for (var c = 0; c < 3; ++c) {
                    if (Enumerable.Range(0, 3).All(r => hits[c, r])) {
                        ans = "Yes";
                        goto result;
                    }
                }
            }
            if (ans == "No") {
                if (Enumerable.Range(0, 3).All(i => hits[i, i])) {
                    ans = "Yes";
                    goto result;
                }
            }
            if (ans == "No") {
                if (Enumerable.Range(0, 3).All(i => hits[3-i-1, i])) {
                    ans = "Yes";
                    goto result;
                }
            }
            result:;
            Console.WriteLine(ans);
        }
    }
}