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 SUNUKE(i):
    x=str(i)
    SUM=0

    for j in range(len(x)):
        SUM+=int(x[j])

    return SUM,i/SUM

SUNUKESUU=[0,1,2,3,4,5,6,7,8,9]
i=10
keta=0

while i<10**16:


    if SUNUKE(i)[1]>=10**keta:
        i-=10**keta
        keta+=1
        
    else:
        if SUNUKESUU[-1]!=i:
            SUNUKESUU+=[i]
        i+=10**keta
    

for i in range(1,int(input())+1):
    print(SUNUKESUU[i])