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 Python (3.4.3) (judge verdict: Wrong Answer)

K = int(input())

n = 0
S = [1, 2, 3, 4, 5, 6, 7, 8, 9]
while K > 0:
  if 9 <= K:
    for c in S:
      print("{}{}".format(c, "9" * n))
    n += 1
    K -= 9
  else:
    for c in S[:K]:
      print("{}{}".format(c, "9" * n))
    K = 0