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: Runtime Error)

def abc101_d():
    k = int(input())

    snuke_nums = []
    for i in range(15):
        snuke_nums.extend([n * (10 ** i) - 1 for n in range(2, 11)])
        if len(snuke_nums) >= k:
            break

    num = len(snuke_nums)
    snuke_sn = [0 for i in range(num)]
    for i in range(num):
        tmp = snuke_nums[i]
        sn = 0
        while tmp:
            sn += tmp % 10
            tmp //= 10
        snuke_sn[i] = snuke_nums[i] / sn

    snuke_sn_sort = sorted(snuke_sn)

    snuke_flag = [False for i in range(num)]
    for i in range(num):
        if snuke_sn[i] != snuke_sn_sort[i]:
            snuke_flag[i] = True

    snuke_ans = []
    for i in range(num):
        if not snuke_flag[i]:
            snuke_ans.append(snuke_nums[i])

    for i in range(k):
        print(snuke_ans[i])


abc101_d()