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)

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(|i| i.parse().ok().unwrap())
        .collect()
}

fn main() {
    let a_1n = read_vec::<i32>();
    let a_2n = read_vec::<i32>();
    let a_3n = read_vec::<i32>();
    let a = vec![a_1n, a_2n, a_3n];
    let n = read::<i32>();

    let mut bs: Vec<i32> = Vec::new();

    let mut board = vec![[false, false, false],
                        [false, false, false],
                        [false, false, false]];

    for _ in 0..n {
        let b: i32 = read();
        
        for i in 0..3 {
            for j in 0..3 {
                if a[i][j] == b {
                    board[i][j] = true;
                }
            }
        }
    }

    for i in 0..3 {
        if board[i][0] ==  true && board[i][1] == true && board[i][2] == true {
            println!("Yes");
            return;
        }
        if board[0][i] == true && board[1][i] == true && board[2][i] == true {
            println!("Yes");
            return;
        }
    }
    if board[0][0] ==  true && board[1][1] == true && board[2][2] == true {
        println!("Yes");
        return;
    }
    if board[2][0] ==  true && board[1][1] == true && board[0][2] == true {
        println!("Yes");
        return;
    }
    println!("No");
}