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>
typedef long long ll;
using namespace std;
ll MOD = 1e9+7;

#define vec vector<int>
#define vecll vector<ll>
#define vpair vector<pair<int, int>>
#define vpairll vector<pair<ll, ll>>

#define rep(i,n)         for(int i=(int)0; i<(int)n; i++)
#define REP(i,m,n)       for(int i=(int)m; i<(int)n; i++)
#define arr(var, n)      vec var(n); rep(i,n){cin >> var[i];}
#define arrll(var, n)    vecll var(n); rep(i,n){cin >> var[i];}
#define all(var)         (var).begin(), (var).end()
#define sortall(var)     sort(all(var))
#define prt(var)         cout << var << endl
#define prtd(n, var)     cout << fixed << setprecision(n) << var << endl
#define prt2(v1, v2)     cout << v1 << " " << v2 << endl
#define prt3(v1, v2, v3) cout << v1 << " " << v2 << " " << v3 << endl
#define prtall(var)      rep(i,var.size()){cout << var[i] << " ";} cout << endl

//----------------------------------------------------------------

int main(void) {
  int a[3][3];
  bool bin[3][3];
  rep(i,3){
    rep(j,3){
      cin >> a[i][j];
      bin[i][j]=false;
    }
  }

  int n;
  cin >> n;
  arr(b,n);

  rep(k,n){
    rep(i,3){
      rep(j,3){
        if(b[k]==a[i][j]){
          bin[i][j]=true;
        }
      }
    }
  }

  bool ans=false;
  rep(i,3){
    if(bin[i][0] && bin[i][1] && bin[i][2]){
      ans=true;
    }
  }
  rep(i,3){
    if(bin[0][i] && bin[1][i] && bin[2][i]){
      ans=true;
    }
  }

  if(bin[0][0] && bin[1][1] && bin[2][2]){
    ans=true;
  }
  if(bin[0][2] && bin[1][1] && bin[2][0]){
    ans=true;
  }

  if(ans){
    prt("Yes");
  } else {
    prt("No");
  }


}