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 f(n):
    s=str(n)
    return sum([int(s[i]) for i in range(len(s))])

sunuke=[]
for i in range(16):
    for j in range(1,200):
        sunuke.append(j*(10**i)-1)

sunuke=list(set(sunuke))
sunuke.sort()
sunuke.pop(0)
L=len(sunuke)

tmp1,tmp2=sunuke[L-1],f(sunuke[L-1])
ans=[sunuke[L-1]]
for i in range(len(sunuke)-2,-1,-1):
    x=sunuke[i]
    if x*tmp2<=tmp1*f(x):
        ans.append(x)
        tmp1,tmp2=x,f(x)

ans.sort()

    

for i in range(int(input())):
    print(ans[i])