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 Java8 (OpenJDK 1.8.0) (judge verdict: Runtime Error)


import java.util.ArrayList;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {

		Scanner sc = new Scanner(System.in);
		ArrayList<Long> array = new ArrayList<Long>();
		for (int i=0;i<10;i++) {
			for (int j=2;j<=10;j++) {
				array.add(j*(long)Math.pow(10, i)-1);
			}
		}

		for (int i=11;i<=100;i++) {
			if (digits(i-1)>=10) {
				array.add(i*(long)Math.pow(10, 10)-1);
			}
		}
		
		for (int i=11;i<=15;i++) {
			for (int j=11;j<=100;j++) {
				array.add(j*(long)Math.pow(10, i)-1);
			}
		}
		
		long k = sc.nextLong();
		for (int i=0;i<k;i++) {
			System.out.println(array.get(i));
		}
	}

	public static int digits(long x) {
		int ans = 0;
		while (x>0) {
			ans += x%10;
			x /= 10;
		}
		return ans;
	}


}