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>
#include <cassert>
typedef long long int ll;
using namespace std;

// @@ !! LIM()

int main(int argc, char *argv[]) {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  cout << setprecision(20);

  vector<vector<ll>> brd(3, vector<ll>(3));
  vector<vector<bool>> marked(3, vector<bool>(3));
  for (ll i = 0; i < 3; i++) {
    for (ll j = 0; j < 3; j++) {
      cin >> brd.at(i).at(j);
    }
  }
  ll N; cin >> N;
  for (ll k = 0; k < N; k++) {
    ll b; cin >> b;
    for (ll i = 0; i < 3; i++) {
      for (ll j = 0; j < 3; j++) {
	if (brd.at(i).at(j) == b) marked.at(i).at(j) = true;
      }
    }
  }

  for (ll i = 0; i < 3; i++) {
    ll ok = true;
    for (ll j = 0; j < 3; j++) {
      if (!marked.at(i).at(j)) {
	ok = false;
	break;
      }
    }
    if (ok) {
      cout << "Yes\n";
      return 0;
    }
  }
  for (ll i = 0; i < 3; i++) {
    ll ok = true;
    for (ll j = 0; j < 3; j++) {
      if (!marked.at(j).at(i)) {
	ok = false;
	break;
      }
    }
    if (ok) {
      cout << "Yes\n";
      return 0;
    }
  }
  {
    ll ok = true;
    for (ll j = 0; j < 3; j++) {
      if (!marked.at(j).at(j)) {
	ok = false;
	break;
      }
    }
    if (ok) {
      cout << "Yes\n";
      return 0;
    }
  }
  {
    ll ok = true;
    for (ll j = 0; j < 3; j++) {
      if (!marked.at(j).at(2-j)) {
	ok = false;
	break;
      }
    }
    if (ok) {
      cout << "Yes\n";
      return 0;
    }
  }
  cout << "No\n";

  return 0;
}