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.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.StreamTokenizer;
import java.lang.reflect.Array;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
import java.util.TreeSet;

/**
 *
 * @author таня
 */
public class KF2 {

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) throws IOException {
        CK jk = new CK();
    }
}

class CK {

    StreamTokenizer in;
    PrintWriter out;

    int nextInt() throws IOException {
        in.nextToken();
        return (int) in.nval;
    }

    String next() throws IOException {
        in.nextToken();
        return in.sval;
    }

    double nextDouble() throws IOException {
        in.nextToken();
        return (double) in.nval;
    }
    int n;

    public CK() throws IOException {
        in = new StreamTokenizer(new BufferedReader(new InputStreamReader(System.in)));
        out = new PrintWriter(new OutputStreamWriter(System.out));
        int m = nextInt();
     int cnt=0;
     int i=4;
     int st=0;
        while (cnt < m) {
            int del = i;
            while (del % 5 == 0) {
                del /= 5;
                cnt++;
            }
            i++;
        }
        if(cnt==m){
            System.out.println(5);
            for(int k=i-1;k<i+4;k++){
                System.out.print(k+" ");
            }
        }else{
        System.out.println(0);
        }
     
    }
}