Score : 200 points
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:
Input is given from Standard Input in the following format:
s
Print the minimum integer m that satisfies the condition.
8
5
a=\{8,4,2,1,4,2,1,4,2,1,......\}. As a_5=a_2, the answer is 5.
7
18
a=\{7,22,11,34,17,52,26,13,40,20,10,5,16,8,4,2,1,4,2,1,......\}.
54
114