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 Rust (1.15.1) (judge verdict: Accepted)

use std::vec::Vec;

fn read<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

fn read_vec<T: std::str::FromStr>() -> Vec<T> {
    read::<String>().split_whitespace().map(|e| e.parse().ok().unwrap()).collect()
}

fn read_touple<T: std::str::FromStr + Copy>() -> (T, T) {
  let v: Vec<T> = read_vec();
  assert_eq!(v.len(), 2);
  (v[0], v[1])
}

fn main() {
    let mut bng = vec![];
    for _ in 0..3 {
      let l: Vec<usize> = read_vec();
      bng.push(l);
    }
    let n: usize = read();
    let mut nums = vec![];
    for _ in 0..n {
      let t: usize = read();
      nums.push(t);
    }

    let mut check_table = vec![vec![false; 3]; 3];

    for b in nums {
      for i in 0..3 {
        for j in 0..3 {
          if bng[i][j] == b {
             check_table[i][j] = true;
          }
        }
      }

      if check(&check_table) {
        println!("Yes");
        return
      }
    }

    println!("No");
}


fn check(bng: &Vec<Vec<bool>>) -> bool {
  // ->
  let mut ok = false;
  for i in 0..3 {
    let mut tmp = true;
    for j in 0..3 {
      tmp = tmp && bng[i][j];
    }
    ok = ok || tmp;
  }

  // |
  for i in 0..3 {
    let mut tmp = true;
    for j in 0..3 {
      tmp = tmp && bng[j][i];
    }
    ok = ok || tmp;
  }

  // \
  let mut tmp = true;
  for i in 0..3 {
    tmp = tmp && bng[i][i];
  }
  ok = ok || tmp;

  tmp = true;
  for i in 0..3 {
    tmp = tmp && bng[2-i][i];
  }

  ok = ok || tmp;

  ok
}