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 (GCC 5.4.1) (judge verdict: Accepted)

#include <stdio.h>
#include <stdbool.h>

bool hasBingo(int firstRow[3], int secondRow[3], int thirdRow[3])
{
    
    if ((firstRow[0] == true && firstRow[1] == true && firstRow[2] == true)
        || (secondRow[0] == true && secondRow[1] == true && secondRow[2] == true)
        || (thirdRow[0] == true && thirdRow[1] == true && thirdRow[2] == true))
    {
        return true;
    }
    else if ((firstRow[0] == true && secondRow[0] == true && thirdRow[0] == true)
             || (firstRow[1] == true && secondRow[1] == true && thirdRow[1] == true)
             || (firstRow[2] == true && secondRow[2] == true && thirdRow[2] == true))
    {
        return true;
    }
    else if ((firstRow[0] == true && secondRow[1] == true && thirdRow[2] == true)
             || (firstRow[2] == true && secondRow[1] == true && thirdRow[0] == true))
    {
        return true;
    }
    else
    {
        return false;
    }
}

int main()
{
    int inputN, inputB, firstRow[3], secondRow[3], thirdRow[3];
    bool isBingo = false;

    // Create a array for every row in a bingo and fill it with values
    scanf("%d %d %d", &firstRow[0], &firstRow[1], &firstRow[2]);

    scanf("%d %d %d", &secondRow[0], &secondRow[1], &secondRow[2]);

    scanf("%d %d %d", &thirdRow[0], &thirdRow[1], &thirdRow[2]);

    // Check if values in bingo are the same with the input
    // If input value and value in the bingo is the same, then makes it '-1'
    scanf("%d", &inputN);

    for (int i = 0; i < inputN; i++)
    {
        scanf("%d", &inputB);

        for (int j = 0; j < 3; j++)
        {
            if (firstRow[j] == inputB)
            {
                firstRow[j] = true;
            }
            if (secondRow[j] == inputB)
            {
                secondRow[j] = true;
            }
            if (thirdRow[j] == inputB)
            {
                thirdRow[j] = true;
            }
        }

    }
    isBingo = hasBingo(firstRow, secondRow, thirdRow);
    
    if(isBingo == true)
    {
        printf("Yes\n");
    }
    else
    {
        printf("No\n");
    }
        
    return 0;
}