Problem:
Score : 500 points

Problem Statement

Let S(n) denote the sum of the digits in the decimal notation of n.
For example, S(123) = 1 + 2 + 3 = 6.

We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.

Given an integer K, list the K smallest Snuke numbers.

Constraints

1 \leq K

The K-th smallest Snuke number is not greater than 10^{15}.

Input

Input is given from Standard Input in the following format:

K

Output

Print K lines. The i-th line should contain the i-th smallest Snuke number.

Sample Input 1

10

Sample Output 1

1
2
3
4
5
6
7
8
9
19

Solution in Rust (1.15.1) (judge verdict: Wrong Answer)

fn getline() -> String{
    let mut __ret=String::new();
    std::io::stdin().read_line(&mut __ret).ok();
    return __ret;
}

fn main(){
    let s=getline();
    let a:Vec<_>=s.trim().split(' ').collect();
    let k:i32=a[0].parse().unwrap();

    let mut ans:String="".to_string();
    let mut tmp=0;
    for _ in 0..k{
        let top=format!("{}", tmp+1);
        println!("{}{}",top,ans);
        tmp+=1;
        if tmp==9{
            tmp=0;
            ans.push_str("9");
        }
    }
}