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 sys
K = int(input())
count = 0
nine = ""

arr = []
arr_sunuke = []
for k in range(14):
    for i in range(10):
        for j in range(10):
            for l in range(10):
                if i == 0 and nine != "":
                    pass
                else:
                    arr.append(int(str(i)+str(j)+str(l)+nine))
                    arr_sunuke.append(i + j + l + k*9)
    nine = nine + str(9)

arr.remove(0)
arr_sunuke.remove(0)
arr_sunuke2 = [arr[i]/arr_sunuke[i] for i in range(len(arr))]

ans = []
tmp = 10**15
for i in range(len(arr)-1, -1, -1):
    if arr_sunuke2[i] <= tmp:
        ans.append(arr[i])
        tmp = arr_sunuke2[i]

ans = ans[::-1]
for i in range(K):
    print(ans[i])