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.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;



public class Solve {
   
    
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter bw = new BufferedWriter(new PrintWriter(System.out));
        
       
        long f = 0;
        long s = 0;
        long cnt = 0;
        int m = Integer.parseInt(br.readLine());      
        ArrayList<Integer> A = new ArrayList<>();
        for(int i=1;i<500001;i++){
            
            if(i%2 == 0){
                int tmp = i;
                while(tmp%2==0) {
                    f+=1;
                    tmp/=2;
                }
            }
            if(i%5 == 0){
                int tmp=i;
                while(tmp%5==0) {
                    s+=1;
                    tmp/=5;
                }
            }
            if(Math.min(f,s) == m)  A.add(i);
        }
        Collections.sort(A);
        bw.append(A.size()+"\n");
        for(Integer t:A){
            bw.append(t+" ");
        }
       bw.append("\n");
        bw.close();
    }
}