Collatz Conjecture

The Collatz conjecture which is also known as the $3n+1$ conjecture is a very well known and old conjecture in mathematics. The conjecture is as follows. Take any natural number $n$. If n is even, divided by two to get $n/2$ and if $n$ is odd number greater than $1$, triple it and add one to obtain $3n+1$. Repeat this process to get a sequence of natural numbers known as the Hailstone sequence. The conjecture is that no matter what number you start, you always reach $1$.

The hailstone sequence for $n=3$ is $3,10,5,16,8,4,2,1$. Paul Erdos said "Mathematics is not yet ripe for such problems" and offered $500 for its solution. Now it lsquo;s time to show Erdos that the Collatz conjecture can be proved for small numbers in $11$^th Iran Internet Programming Contest. You are to write a program that computes the length of the Hailstone sequence for the given $n$.

Input

There are multiple test cases in the input. Each test case consists of a line containing a non-negative integers $0\le n\le 100$. The input terminates with $0$ which should not be processed.

Output

For each test case, output the length of the Hailstone sequence in one line.

Examples