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 JAVA):

Solution:

import java.util.*;

 public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int m = sc.nextInt();
        ArrayList<Numbers> arr = new ArrayList<>();
        for(int i =0 ; i < 100001;i++) {
            arr.add(new Numbers());            
        }
        int i = 1;
        while(true) {
            try {
                int n = getTrailZeroes(i);
                arr.get(n).add(i);
                i++;
            }catch(Exception e) {
                break;
            }
        }

        System.out.println(arr.get(m).size());
        arr.get(m).show();

        sc.close();
        System.exit(0);

    }

    private static int getTrailZeroes(int n) {
        
        int count = 0;

        
        for (int i = 5; n / i >= 1; i *= 5)
            count += n / i;

        return count;
    }
}

class Numbers {
    LinkedList<Integer> numbers;
    public Numbers() {
        numbers = new LinkedList<Integer>();
    }
    public void add(int x) {
        numbers.add(x);
    }

    public int size() {
        return numbers.size();

    }
    public void show() {
        for(int number : numbers) {
            System.out.print(number + " ");
        }
    }


}