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.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.io.InputStream;

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

    static class TaskD {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            ArrayList<Long> possibleValues = new ArrayList<>();
            for (int i = 1; i < 18; i++) {
                possibleValues.addAll(allPossibleValuesFromOfSize(i));
            }
            possibleValues.sort((o1, o2) -> {
                int res = Double.compare(getVal(o1), getVal(o2));
                if (res != 0) return res;
                return Long.compare(o1, o2);
            });
            int k = in.NextInt();
            int i = 0;
            long min = 0;
            while (k != 0 && i < possibleValues.size()) {
                long x = possibleValues.get(i++);
                if (x < min) continue;
                min = x;
                out.println(min);
                k--;
            }
        }

        private double getVal(long o) {
            return ((double) o) / IntegerExtention.sumDigits(o);
        }

        private ArrayList<Long> allPossibleValuesFromOfSize(int i) {
            ArrayList<Long> res = new ArrayList<>();
            long start = MathExtentions.power(10, i - 1);
            for (int j = 0; j < i; j++) {
                long add = MathExtentions.power(10, j);
                int k = 0;
                if (j == i - 1) k++;
                if (j != 0) {
                    k++;
                    start += add;
                }
                for (; k <= 9; k++) {
                    res.add(start);
                    start += add;
                }
                start -= add;
            }
            return res;
        }

    }

    static class MathExtentions {
        public static long power(final long x, final long y) {
            if (y == 0)
                return 1;

            long p = power(x, y / 2);
            p = (p * p);

            if (y % 2 == 0)
                return p;
            else
                return (x * p);
        }

    }

    static class InputReader {
        BufferedReader reader;
        StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine(), " \t\n\r\f,");
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int NextInt() {
            return Integer.parseInt(next());
        }

    }

    static class IntegerExtention {
        public static int sumDigits(long i) {
            if (i == 0) return 0;
            int res = 0;
            do {
                long i1 = i / 10;
                res += i - i1 * 10;
                i = i1;
            } while (i != 0);
            return res;
        }

    }
}