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 <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define repr(i, n) for (int i = (n); i >= 0; --i)
#define FOR(i, m, n) for (int i = (m); i < (n); ++i)
#define FORR(i, m, n) for (int i = (m); i >= (n); --i)
#define equals(a, b) (fabs((a) - (b)) < EPS)
using namespace std;
typedef long long ll;
const ll mod = 1000000007;
const ll mod2 = 998244353;
const ll INF = 1e18;
const long double EPS = 1e-10;

ll getsn(ll n) {
  ll sn = 0;
  while (n > 0) {
    sn += n % 10;
    n /= 10;
  }
  return sn;
}

int main() {
  ll k;
  cin >> k;
  
  ll ans = 1;
  for (ll i = 0, d = 1; i < k; i++) {
    cout << ans << endl;

    while ((ans + d - 1) / getsn(ans + d) >= d) {
      d *= 10;
    }
    ans += d;
  }


  
  return 0;
}