// Basic Part about the 3n+1 conjecture

//======================================

//(1) Complete the collatz function below. It should

//    recursively calculate the number of steps needed 

//    until the collatz series reaches the number 1.

//    If needed, you can use an auxiliary function that

//    performs the recursion. The function should expect

//    arguments in the range of 1 to 1 Million.

//def collatz(n: Long) : Long = ...

//(2) Complete the collatz_max function below. It should

//    calculate how many steps are needed for each number 

//    from 1 up to a bound and then calculate the maximum number of

//    steps and the corresponding number that needs that many 

//    steps. Again, you should expect bounds in the range of 1

//    up to 1 Million. The first component of the pair is

//    the maximum number of steps and the second is the 

//    corresponding number.

//def collatz_max(bnd: Long) : (Long, Long) = ...