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.Scanner;

/**
 * Feb 26, 2016 | 6:37:29 PM
 * <pre>
 * <u>Description</u>
 *
 * </pre>
 *
 * @author Essiennta Emmanuel (colourfulemmanuel@gmail.com)
 */
public class ProblemB{

    long count(int n){
        long p5 = 5;
        long cnt = 0;
        while (p5 <= n) {
            cnt += n / p5;
            p5 *= 5;
        }
        return cnt;
    }

    long solve(int m){
        int left = 1;
        int right = (int)1e9;
        while (right - left > 1) {
            int mid = left + right >> 1;
            final long count = count(mid - 1);
            if (count < m)
                left = mid;
            else
                right = mid;
        }
        return count(left) == m ? left : -1;
    }

    public static void main(String[] args){
        try (Scanner sc = new Scanner(System.in)) {
            long solve = new ProblemB().solve(sc.nextInt());
            if (solve == -1)
                System.out.println("0");
            else {
                System.out.println("5");
                long j = solve;
                for (int i = 0; i < 5; i++, j++) {
                    if (i != 0)
                        System.out.print(" ");
                    System.out.print(j);
                }
                System.out.println();
            }
        }
    }
}