Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

8

Sample Output 1

5

a=\{8,4,2,1,4,2,1,4,2,1,......\}. As a_5=a_2, the answer is 5.

Sample Input 2

7

Sample Output 2

18

a=\{7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1,4,2,1,......\}.

Sample Input 3

54

Sample Output 3

114

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;

/**
 * 
 * @author morisin
 * 
 */
public class Main {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);

		int S = sc.nextInt();
		
		int nextNum = S;
		
		if(S==4) {
			System.out.println(4);
			return;
		}
		if(S==2) {
			System.out.println(5);
			return;
		}
		if(S==1) {
			System.out.println(4);
			return;
		}

		for(int i=2;i<=1000000;i++) {
			if(nextNum%2 == 0) {
				nextNum = nextNum/2;
			}else {
				nextNum = nextNum*3+1;
			}
			if(nextNum == 4) {
				System.out.println(i+3);
				break;
			}
		}
	}
}