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 f5(int num) {
  if (num < 5) return 0;
  return num / 5 + f5(num / 5);
}
int main() {
  int m;
  cin >> m;
  int ze = f5(5 * m), val = 5 * m;
  while (ze > m and ze > 0) {
    val -= 5;
    ze = f5(val);
  }
  if (ze == m) {
    cout << 5 << endl;
    for (int i = val; i < val + 5; i++) cout << i << " ";
  } else
    cout << 0;
  return 0;
}