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 store[1000007];
int main() {
  for (int i = 5; i <= 1000000; i++) {
    int cnt = 0;
    int num = i;
    while (num) num /= 5, cnt += num;
    store[i] = cnt;
  }
  int m;
  cin >> m;
  vector<int> out;
  for (int i = 1; i <= 1000000; i++) {
    if (store[i] == m) {
      out.push_back(i);
    }
  }
  cout << out.size() << "\n";
  for (auto x : out) cout << x << ' ';
}