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 {
	final static int MMAX = 1000000;
	public static void main(String[] args) {
		int i,j;
		Scanner sc = new Scanner(System.in);
		int s = Integer.parseInt(sc.next());
		sc.close();
		int ans = 0;
		long[] a = new long[MMAX+1];
		a[1] = s;
		HashMap<Long, Integer> amap = new HashMap<>();
		amap.put(a[1], 1);
		for(i=2;i<=MMAX;i++) {
			if(a[i-1]%2==0) {
				a[i] = a[i-1]/2;
			} else {
				a[i] = 3*a[i-1]+1; 
			}
			Integer ii = amap.get(a[i]);
			if(ii == null) {
				amap.put(a[i], i);
			} else {
				ans = i;
				break;
			}
		}
		System.out.println(ans);
	}
}
