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 <bits/stdc++.h>
 
using namespace std;
 
#define xx         first
#define yy         second
#define pb         push_back
#define mp         make_pair
#define LL         long long
#define inf        INT_MAX/3
#define mod        1000000007ll
#define PI         acos(-1.0)
#define linf       (1ll<<60)-1
#define FOR(I,A,B) for(int I = (A); I < (B); ++I)
#define REP(I,N)   FOR(I,0,N)
#define For(I,N)   for(int I=1;I<=(N);I++)
#define ALL(A)     ((A).begin(), (A).end())
#define set0(ar)   memset(ar,0,sizeof ar)
#define vsort(v)   sort(v.begin(),v.end())
#define setinf(ar) memset(ar,126,sizeof ar)
#define SZ(X) ((int)(X.size()))
#define LG(X) ((int)(X.length()))
#define CL(X) (X).clear()
#define MAXEL(A,B) (*max_element(A,B))
#define MINEL(A,B) (*min_element(A,B))
#define ROPEN(X) freopen(X,"r",stdin)
#define WOPEN(X) freopen(X,"w",stdout)
#define BG(X) (X.begin())
#define EN(X) (X.end())
#define VI vector<int>
#define PII pair<int,int>
 
//cout << fixed << setprecision(20) << p << endl;
 
template <class T> inline T bigmod(T p,T e,T M){
    LL ret = 1;
    for(; e > 0; e >>= 1){
        if(e & 1) ret = (ret * p) % M;
        p = (p * p) % M;
    } return (T)ret;
}
template <class T> inline T gcd(T a,T b){if(b==0)return a;return gcd(b,a%b);}
template <class T> inline T modinverse(T a,T M){return bigmod(a,M-2,M);}


int main(){
	ios_base::sync_with_stdio(false);
    cin.tie(NULL);
	int a[3][3];
	int n=3;
	REP(i,n){
		REP(j,n){
			cin>>a[i][j];
		}
	}
	int N;
	cin>>N;
	int b[N];
	REP(i,N){
		cin>>b[i];
	}
	for(int x:b){
		REP(i,n){
			REP(j,n){
				if(x==a[i][j]){
					a[i][j]=0;
					break;
				}
			}
		}
	}
	bool found=false;
	REP(i,n){
		if(a[i][0]+a[i][1]+a[i][2]==0){
			found=true;
		}
		else if(a[0][0]+a[1][1]+a[2][2]==0){
			found=true;
		}
		else if(a[0][i]+a[1][i]+a[2][i]==0){
			found=true;
		}
		else if(a[0][2]+a[1][1]+a[2][0]==0){
			found=true;
		}
	}
	if(found){
			cout<<"Yes"<<endl;
		}else{
			cout<<"No"<<endl;
	}
	return 0;
}