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 (1.42.0) (judge verdict: Accepted)

use proconio::{fastout, input};

#[fastout]
fn main() {
    input! {a: [[usize; 3];3], n: usize, b: [usize; n]};

    let mut v = vec![[0, 0, 0], [0, 0, 0], [0, 0, 0]];
    let mut bingo = false;

    for &b_i in b.iter() {
        // println!("{}", b_i);

        for row in 0..3 {
            for col in 0..3 {
                if a[row][col] == b_i {
                    v[row][col] = 1;
                }
            }
        }
    }

    for i in 0..3 {
        if v[i][0] == 1 && v[i][1] == 1 && v[i][2] == 1 {
            bingo = true;
            break;
        }
        if v[0][i] == 1 && v[1][i] == 1 && v[2][i] == 1 {
            bingo = true;
            break;
        }
    }

    if v[0][0] == 1 && v[1][1] == 1 && v[2][2] == 1 {
        bingo = true;
    }
    if v[0][2] == 1 && v[1][1] == 1 && v[2][0] == 1 {
        bingo = true;
    }

    if bingo {
        println!("Yes")
    } else {
        println!("No")
    }
}