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 main():
    s=set()
    for digit in range(16):
        for i in range(1,1000):
            c=i*10**digit+int('9'*digit or 0)
            if c<10**15:
                s.add(c)
    c=sorted(s)
    for i,n in enumerate(c):
        sn=n/sum(map(int,str(n)))
        for m in c[i+1:i+11]:
            sm=m/sum(map(int,str(m)))
            if sm<sn:
                s.remove(n)
                break
    print(*sorted(s)[:int(input())],sep='\n')
main()