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
#abc101d

def f(n):
 s=0
 for t in str(n):
  s+=int(t)
 return 1.0*int(n)/s

k=int(raw_input())
x,y=1,1
for i in xrange(k):
 print x
 if f(x+10**(y-1))>f(x+10**(y)):
  y+=1
 x+=10**(y-1)
