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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
using namespace std;
int main()
{
    int n=0,m,k,i=0,s=1;
    cin>>k;
    if(k<=9)
    {
        for(i=1;i<=k;i++)
            cout<<i<<endl;
    }
    else
    {
        for(i=1;i<=9;i++)
            cout<<i<<endl;
            k-=9;
        for(i=19;k>0;i+=10,k--)
        {
            cout<<i<<endl;
        }
    }
    return 0;
}