Problem: Mr. Santa asks all the great programmers of the world to solve a trivial problem. He gives them an integer m and asks for the number of positive integers n, such that the factorial of n ends with exactly m zeroes. Are you among those great programmers who can solve this problem?

Input

The only line of input contains an integer m (1 ≤ m ≤ 100 000) — the required number of trailing zeroes in factorial.

Output

First print k — the number of values of n such that the factorial of n ends with m zeroes. Then print these k integers in increasing order.

Examples

Input

1


Output

5
5 6 7 8 9 

Input

5


Output

0

Note

The factorial of n is equal to the product of all integers from 1 to n inclusive, that is n! = 1·2·3·...·n.

In the first sample, 5! = 120, 6! = 720, 7! = 5040, 8! = 40320 and 9! = 362880.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  ios_base::sync_with_stdio(0);
  int n, i, x;
  vector<int> ans;
  cin >> n;
  int cnt = 0;
  for (i = 1; i < 10 * n; i++) {
    x = i;
    while (x % 5 == 0) {
      x /= 5;
      cnt++;
    }
    if (cnt == n) break;
  }
  if (cnt != n) return cout << "0\n", 0;
  cout << "5\n";
  for (int j = 0; j < 5; j++) cout << i + j << " ";
  cout << "\n";
  return 0;
}