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.*;
import java.util.*;
/*
 * This file was created by ayush in attempt to solve the problem rush
 */
public class ATrivialProblem {
    public long ans(long n){
        long power = 5;
        long ans=0;
        for (int i = 1; power<=n ; i++) {
            ans+=Math.floor(n/power);
            power=power*5;
        }
        return ans;
    }

    public void solve(int n, PrintWriter out) {
        int lb=0;
        int count=0;
        String ans = "";
        for (int i = 0; i <(n+1)*5 ; i++) {
            if(ans(i)==n){
                count++;
                ans=ans+i+" ";
            }
        }
        out.println(count);
        out.println(ans.trim());
    }

    public static void main(String[] args) throws IOException {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        PrintWriter out = new PrintWriter(System.out);
        int n = Integer.parseInt(in.readLine());
        Date t1 = new Date();
        ATrivialProblem solver = new ATrivialProblem();
        
        
        solver.solve(n, out);
        out.flush();
        

        Date t2 = new Date();
        System.err.println(String.format("Your program took %f seconds", (t2.getTime() - t1.getTime()) / 1000.0));
        out.close();
    }

    static class IOUtils {

        public static int[] readIntArray(Scanner in, int size) {
            int[] array = new int[size];
            for (int i = 0; i < size; i++)
                array[i] = in.nextInt();
            return array;
        }

        public static String[] readStringArray(Scanner in, int size) {
            String[] array = new String[size];
            for (int i = 0; i < size; i++)
                array[i] = in.nextLine();
            return array;
        }

        public static int[] readLinearIntArray(Scanner in, int size) {
            //in.nextLine();
            String[] arr = in.nextLine().split(" ");
            int[] array = new int[size];
            for (int i = 0; i < size; i++)
                array[i] = Integer.parseInt(arr[i]);
            return array;
        }

        public static int[] readLinearIntArray(BufferedReader in) throws IOException {
            //in.nextLine();
            String[] arr = in.readLine().split(" ");
            int[] array = new int[arr.length];
            for (int i = 0; i < arr.length; i++)
                array[i] = Integer.parseInt(arr[i]);
            return array;
        }

        public static Double[] readLinearDoubleArray(BufferedReader in) throws IOException {
            //in.nextLine();
            String[] arr = in.readLine().split(" ");
            Double[] array = new Double[arr.length];
            for (int i = 0; i < arr.length; i++)
                array[i] = Double.parseDouble(arr[i]);
            return array;
        }

        public static String[] convert(int[] from) {
            String[] to = new String[from.length];
            for (int i = 0; i < to.length; i++) to[i] = String.valueOf(from[i]);
            return to;
        }

        public static int[] convert(String[] from) {
            int[] to = new int[from.length];
            for (int i = 0; i < to.length; i++) to[i] = Integer.parseInt(from[i]);
            return to;
        }

        public static int[][] read2DIntArray(BufferedReader in, int rows, int columns, String seprator) throws IOException {
            int[][] array = new int[rows][columns];
            for (int i = 0; i < rows; i++) {
                array[i] = convert(in.readLine().split(seprator));
            }
            return array;
        }

        public static String[][] read2DStringArray(BufferedReader in, int rows, int columns, String seprator) throws IOException {
            String[][] array = new String[rows][columns];
            for (int i = 0; i < rows; i++) {
                array[i] = in.readLine().split(seprator);
            }
            return array;
        }
    }


    static class DEBUG {
        public static void DebugInfo(String disp) {
            System.err.println("DEBUG Info: " + disp);
        }

        public static void DebugVariable(String variable, String value) {
            System.err.println("DEBUG Info: " + variable + " => " + value);
        }


        public static void DebugVariable(String variable, int value) {
            System.err.println("DEBUG Info: " + variable + " => " + value);
        }


        public static void DebugVariable(String variable, long value) {
            System.err.println("DEBUG Info: " + variable + " => " + value);
        }

        public static void DebugArray(int[] value) {
            for (int i = 0; i < value.length; i++) {

                System.err.println("DEBUG Info: " + i + " => " + value[i]);
            }
        }

    }

}