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
#D問題
K=int(input())
keta=1
now=1
count=0

def sunuke(n):
    a=0
    for i in str(n):
        a+=int(i)
    return(n/a)

while count < K:
    if sunuke(now) <= sunuke(now+keta):
        print(now)
        now+=keta
        count+=1
    else:
        now+=9*keta
        keta*=10

