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.

Example

Input

10


Output

1
2
3
4
5
6
7
8
9
19
k = int(input())

def func(a):
    s = 0
    for i in str(a):
        s += int(i)
    return a/s

candidate_lst = []
for i in range(18):
    for j in range(1, 150):
         candidate_lst.append(int(str(j) + '9' * i))
candidate_lst = sorted(list(set(candidate_lst)))

count = 0
index = -1
snuke = 1
while count < k:
    min_snuke = 10**100
    for m, i in enumerate(candidate_lst[index+1:]):
        if i > 100*snuke:
            break
        po_snuke = func(i)
        if min_snuke > po_snuke:
            min_snuke = po_snuke
            next_snuke = i
            next_index = m
    print(next_snuke)
    snuke = next_snuke
    index = index + next_index + 1
    count += 1          