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 (Clang 3.8.0) (judge verdict: Accepted)

#include <stdio.h>
int main(void){
    int N,A[3][3],b[10],B[3][3],flag=0;
    for(int i=0;i<3;i++)
    {
        for(int j=0;j<3;j++)
        {
            scanf("%d",&A[i][j]);
            B[i][j]=0;
        }
    }
    scanf("%d",&N);
    for(int k=0;k<N;k++)
    {
        scanf("%d",&b[k]);
        for(int i=0;i<3;i++)
        {
            for(int j=0;j<3;j++)
            {
            if(b[k]==A[i][j])B[i][j]=1;
            }
        }
    }
    for(int i=0;i<3;i++)
    {
    if(B[i][0]==1&&B[i][1]==1&&B[i][2]==1){printf("Yes");flag=1;break;}
    else if(B[0][i]==1&&B[1][i]==1&&B[2][i]==1){printf("Yes");flag=1;break;}
    else if(B[0][0]==1&&B[1][1]==1&&B[2][2]==1){printf("Yes");flag=1;break;}
    else if(B[0][2]==1&&B[1][1]==1&&B[2][0]==1){printf("Yes");flag=1;break;}
    }
     if(flag!=1)printf("No");
    
}