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)

# for n in range(1,1000):
#     s = str(n)
#     t = sum(map(int, s))
#     print(n, t, n / t)

def solve(k):
    i = 0
    ret = []
    while True:
        suffix = '9' * i
        for j in range(1, min(k, 9) + 1):
            ret.append(str(j) + suffix)
        k -= 9
        if k <= 0:
            break
        i += 1
    return ret


k = int(input())
print('\n'.join(solve(k)))