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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

#include <algorithm>
#include <iostream>
#include <math.h>
#include <cstdio>
#include <string.h>
#include <vector>
#include <functional>
#include <stack>
#include <queue>
#include <string>
#include <list>
using namespace std;
typedef long long ll;

int main(){
	ll K;
	cin >> K;
	for (ll i = 0;true;++i){
		for (ll j = 1; j < 10; ++j){
			cout << j;
			for (ll i2 = 0; i2 <i; ++i2){cout << 9;}
			cout << endl;
			K--;
			if(K == 0)
				exit(0);
		}
	}
}