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())
sunuke_list = [1,2,3,4,5,6,7,8]
def s(n):
    n_charlist = list(str(n))
    return sum(list(map(int, n_charlist)))
def combine_int(i,n):
    i_charlist = list(str(i))
    n_charlist = ['9'] * n
    ret_charlist = i_charlist + n_charlist
    ret_str = ''.join(ret_charlist)
    return int(ret_str)
for n in range(1,14):
    if n >= 12:
        i = n-2
    else:
        i = n-1
    while((i+1)/(s(i)+9*n) <= (i+2)/(s(i+1)+9*n)):
        sunuke_list.append(combine_int(i,n))
        i += 1
for i in range(k):
    print(sunuke_list[i])
