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
import math

def s(n):
    ret = 0

    while n > 0:
        ret += n % 10
        n = n // 10
        
    return ret

def snuke(n):
    candidate = []

    for d in range(int(math.log(n, 10)) + 2):
        x = n - (n % 10**d) + (10**d - 1)
        candidate.append(x)
    
    min_value = candidate[0] / s(candidate[0])
    ans = candidate[0]
    for c in candidate[1:]:
        tmp = c / s(c)
        if tmp < min_value:
            min_value = tmp
            ans = c
            
    return ans

K = int(input())

N = 0
for i in range(K):
    N = snuke(N + 1)
    print(N)
        