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.ArrayList;
import java.util.Comparator;
import java.util.List;
import java.util.Scanner;

public class Main{
    static class TrivTask {
        private final int n;

        TrivTask(int n){
            this.n = n;
        }

        private int pExpN (int p, int n){
            int r = 0;
            while (p % (int)Math.pow(n,r) == 0){
                r++;
            }
            return --r;
        }

        public List<Integer> solve(){
            int n2 = 0;
            int n5 = 0;
            List<Integer> result = new ArrayList<>();

            int i = 1;
            while (true){
                if (Math.min(n2,n5) < n) {
                    n2 += pExpN(i,2); n5 += pExpN(i,5);
                    i++;
                } else if (Math.min(n2,n5) == n) {
                    n2 += pExpN(i,2); n5 += pExpN(i,5);
                    result.add(i-1);
                    i++;
                } else {
                    return result;
                }
            }
        }
    }

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();

        List<Integer> result = new TrivTask(n).solve();
        System.out.println(result.size());
        for(int i = 0; i < result.size(); i++){
            System.out.print(result.get(i) + " ");
        }
        System.out.println();
    }
}