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 C (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main(void)
{
  long K;
  scanf("%ld", &K);
  if(K < 10){
    for(int i = 1; i < K+1; i++){
      printf("%ld\n", i);
    }
  } else {
    for(int i = 1; i < 10; i++){
      printf("%ld\n", i);
    }
    for(int i = 0; i < K-9; i++){
      printf("%d\n", (1+i)*10+9);
    }
  }
  return 0;
}