A sequence a=\\{a_1,a_2,a_3,......\\} is determined as follows:

* The first term s is given as input.

* Let f(n) be the following function: f(n) = n/2 if n is even, and f(n) = 3n+1 if n is odd.

* a_i = s when i = 1, and a_i = f(a_{i-1}) when i > 1.




Find the minimum integer m that satisfies the following condition:

* There exists an integer n such that a_m = a_n (m > n).

Constraints

* 1 \leq s \leq 100
* All values in input are integers.
* It is guaranteed that all elements in a and the minimum m that satisfies the condition are at most 1000000.

Input

Input is given from Standard Input in the following format:


s


Output

Print the minimum integer m that satisfies the condition.

Examples

Input

8


Output

5


Input

7


Output

18


Input

54


Output

114
import java.util.*;
import java.io.*;
import java.math.*;
public class Main{
    public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		PrintWriter ou = new PrintWriter(System.out);
		ArrayList<Integer> al = new ArrayList<Integer>();
		int s = Integer.parseInt(sc.next());
		int yono = 1;
		while(!al.contains(s)){
			al.add(s);
			yono++;
			if(s % 2 == 0) s /= 2;
			else s = 3 * s + 1;
		}
		ou.println(yono);
		ou.flush();
	}
}