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>
　　　　　　　　　　　　　　　　　　　　　　　　　　　　#include <string.h>
                                                 
                                                int main(void){
                                                  int i, j, k, n, A[3][3], b[10];
                                                  int appear[3][3];
                                                  for(i=0; i<3; i++){
                                                    for(j=0; j<3; j++){
                                                      scanf("%d", &A[i][j]); 
                                                    }
                                                  }
                                                  scanf("%d", &n);
                                                  for(k=0; k<n; k++){
                                                    scanf("%d\n", &b[k]);
                                                  }
                                                  for(i=0; i<3; i++){
                                                    for(j=0; j<3; j++){
                                                  		appear[i][j]=0;
                                                  			for(k=0; k<n; k++){
                                                        		if(A[i][j]==b[k]){
                                                            		appear[i][j]=1;
                                                                }
                                                            }
                                                    }
                                                  }
                                                  char ans[4] = "No";
                                                  for(i=0; i<3; i++){
                                                    if(appear[i][0] && appear[i][1] && appear[i][2] == 1){
                                                      strcpy(ans,"Yes");
                                                    }
                                                  }for(i=0; i<3; i++){
                                                    if(appear[0][i] && appear[1][i] && appear[2][i] == 1){
                                                      strcpy(ans,"Yes");
                                                    }
                                                  }
                                                  if(appear[0][0] && appear[1][1] && appear[2][2] == 1){strcpy(ans,"Yes");}
                                                  if(appear[0][2] && appear[1][1] && appear[2][0] == 1){strcpy(ans,"Yes");}
                                                  printf("%s", ans);
                                                  return 0;
                                                }