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<stdlib.h>
#include<string.h>
#include<math.h>

int main(){

	int A[3][3];

	int mark = 1000;

	for (int i = 0; i < 3; i++){
		for (int j = 0; j < 3; j++){
			scanf("%d",&A[i][j]);
		}
	}

	int N;

	scanf("%d",&N);	

	int b[N];

	for(int i=0; i<N; i++){
		scanf("%d",&b[i]);
	}

	for(int k =0; k<N; k++){
		for (int i = 0; i < 3; i++){
			for (int j = 0; j < 3; j++){
				// printf("A[%d][%d] = %d\n",i,j,A[i][j]);
				if(A[i][j] == b[k]){
					A[i][j] = mark;
					break;
				}
			}
		}
	}

	for(int i=0; i<3; i++){
		if(A[i][0] == mark && A[i][1] == mark && A[i][2] == mark){
			printf("Yes\n");
			return 0;
		}
	}

	for(int i=0; i<3; i++){
		if(A[0][i] == mark && A[1][i] == mark && A[2][i] == mark){
			printf("Yes\n");
			return 0;
		}
	}

	if(A[0][0] == mark && A[1][1] == mark && A[2][2] == mark){
		printf("Yes\n");
		return 0;
	}

	if(A[0][2] == mark && A[1][1] == mark && A[2][0] == mark){
		printf("Yes\n");
		return 0;
	}

	printf("No\n");
	
	return 0;
}