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 Go (1.6) (judge verdict: Wrong Answer)

package main

import (
	"bufio"
	"os"
	"strconv"
	"fmt"
)

var sc = bufio.NewScanner(os.Stdin)

func nextString() string {
	if !sc.Scan() {
		panic("failed scan string")
	}
	return sc.Text()
}

func nextInt() int {
	if !sc.Scan() {
		panic("failed scan int")
	}
	i, e := strconv.Atoi(sc.Text())
	if e != nil {
		panic(e)
	}
	return i
}

func main() {
	sc.Split(bufio.ScanWords)
	k := nextInt()

	i := 1
	j := 0

	for l := 0; l < k; l++ {
		fmt.Print(i)
		for m := 0; m < j; m++ {
			fmt.Print("9")
		}
		fmt.Print("\n")
		if i == 9 {
			i = 1
			j++
		} else {
			i++
		}
	}
}