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 Kotlin (1.0.0) (judge verdict: Wrong Answer)

fun main(args: Array<String>) {
    val K = readLine()!!.toLong()

    var outputAmount = 0L

    for (i in 1 until 10) {
        if (K <= outputAmount) return

        println(i)
        outputAmount++
    }

    var i = 20L
    while (true) {
        if (K <= outputAmount) return
        if (100 < i && i.toString().length % 2 == 0) {
            i = (i.toString() + "0").toLong()
            continue
        }

        println(i - 1)
        outputAmount++

        i += 10L
    }
}