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++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <map>
using namespace std;
map<int,string>mat;
map<int,string>mark;
int main(){
	int i,j,tmp;
	string ind;
	for(i=1;i<=3;i++)
		for(j=1;j<=3;j++){
			ind=to_string(i)+to_string(j);
			cin>>tmp;
			mat[tmp]=ind;
		}	
	int n,x;cin>>n;
	while(n--){
		cin>>tmp;
		auto x=mat.find(tmp);
		if(x!=mat.end())mark[tmp]=mat[tmp];
	}
	int r1=0,r2=0,r3=0,c1=0,c2=0,c3=0,d1=0,d2=0;
	for(auto it=mark.begin();it!=mark.end();it++){
		if(it->second=="11" || it->second=="12" || it->second=="13") r1++;if(it->second=="21" || it->second=="22" || it->second=="23") r2++;if(it->second=="31" || it->second=="32" || it->second=="33") r3++;
		if(it->second=="11" || it->second=="21" || it->second=="31") c1++;if(it->second=="12" || it->second=="22" || it->second=="32") c2++;if(it->second=="13" || it->second=="23" || it->second=="33") c3++;
		if(it->second=="11" || it->second=="22" || it->second=="33") d1++;if(it->second=="13" || it->second=="22" || it->second=="31") d2++;
	}
	if(r1==3 || r2==3 || r3==3 || c1==3 || c2==3 || c3==3 || d1==3 || d2==3)
		cout<<"Yes";else cout<<"No";

}