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.*;
public class Main {
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    int s = sc.nextInt();
    Set<Integer> set = new HashSet<>();
    set.add(s);

    for(int i = 2 ; i < 1000001 ; ++i){
      if(s%2 == 0){
        s = s/2;
      }else{
        s = s*3 + 1;
      }
      if(set.add(s)){
        set.add(s);
      }else{
        System.out.println(i);
        break;
      }
    }
    
  }
}