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: Wrong Answer)

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.util.LinkedList;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        MyScan in = new MyScan(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskD solver = new TaskD();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskD {
        static String[] nn = new String[19];

        static {
            nn[0] = "";
            for (int s = 1; s < nn.length; s++) {
                nn[s] = nn[s - 1] + "9";
            }
        }

        public void solve(int testNumber, MyScan in, PrintWriter out) {

            int k = in.nextInt();
            LinkedList<Long> integers = new LinkedList<>();
            integers.add(1L);
            for (int t = 14; t < 149999; t++) {
                long x = t;
                while (integers.peekLast() * f(x) > x * f(integers.peekLast())) {
                    integers.pollLast();
                }
                integers.add(x);
            }
            for (int t = 14; t < 1000000 - 1; t++) {
                long x = t * 10000L + 9999;
                while (integers.peekLast() * f(x) > x * f(integers.peekLast())) {
                    integers.pollLast();
                }
                integers.add(x);
            }

            for (int t = 0; t < 1000000; t++) {
                long x = t * 10000000000L + 9999999999L;
                while (integers.peekLast() * f(x) > x * f(integers.peekLast())) {
                    integers.pollLast();
                }
                integers.add(x);
            }
            for (long s : integers) {
                if (k == 0) break;
                k--;
                out.println(s);
            }
        }

        private long f(long s) {
            if (s == 0) return 0;
            return f(s / 10) + (s % 10);
        }

    }

    static class MyScan {
        private final InputStream in;
        private byte[] inbuf = new byte[1024];
        public int lenbuf = 0;
        public int ptrbuf = 0;

        public MyScan(InputStream in) {
            this.in = in;
        }

        private int readByte() {
            if (lenbuf == -1) throw new InputMismatchException();
            if (ptrbuf >= lenbuf) {
                ptrbuf = 0;
                try {
                    lenbuf = in.read(inbuf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (lenbuf <= 0) return -1;
            }
            return inbuf[ptrbuf++];
        }

        public int nextInt() {
            int num = 0, b;
            boolean minus = false;
            while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ;
            if (b == '-') {
                minus = true;
                b = readByte();
            }

            while (true) {
                if (b >= '0' && b <= '9') {
                    num = num * 10 + (b - '0');
                } else {
                    return minus ? -num : num;
                }
                b = readByte();
            }
        }

    }
}