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
def digit_sum(number):
    ans = 0
    for n in str(number):
        ans += int(n)
    return ans

def obj_func(number):
    return number/digit_sum(number)

K = int(input())
num_list = []
d = 1
n = 1

for i in range(K):
    num_list.append(n)
    if obj_func(n + 10**(d-1)) > obj_func(n + 10**d):
        d += 1
    n += 10**(d-1)

print(*num_list, sep='\n')
