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
k = int(input())

l = []
for i in range(17):
    ten = 10**i
    for j in range(1,1000):
        a = ten
        b = j
        n = a*b-1
        if n == 0:
            continue
        s = sum(map(int,str(n)))
        l.append([n/s,n])
l.sort()
now = 0
count = 0
i = 0
while count < k:
    if l[i][1] > now:
        now = l[i][1]
        count += 1
        print(l[i][1])
    i += 1