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
#include <cstdio>
#include <iostream>
#define LL long long
using namespace std;

LL k, n, d=1;

int s(LL x)
{
    int sum=0;
    while(x) sum+=x%10, x/=10;
    return sum;
}

int main()
{
    scanf("%lld", &k);
    for(int i=1; i<=k; i++)
    {
        if((n+d*10)*s(n+d)<(n+d)*s(n+d*10)) d*=10;
        n+=d;
        printf("%lld\n", n);
    }
}