1 // Part 1 about the 3n+1 conceture

     2 //=================================

     3 

     4 

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

     6 //    recursively calculate the number of steps needed 

     7 //    until the collatz series reaches the number 1.

     8 //    If needed you can use an auxilary function that

     9 //    performs the recursion. The function should expect

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

    11 

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

    13 

    14 

    15 //(2)  Complete the collatz bound function below. It should

    16 //     calculuate how many steps are needed for each number 

    17 //     from 1 upto a bound and returns the maximum number of

    18 //     steps and the corresponding number that needs that many 

    19 //     steps. You should expect bounds in the range of 1

    20 //     upto 1 million. The first component of the pair is

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

    22 //     corresponding number.

    23 

    24 def collatz_max(bnd: Int): (Int, Int) = ...

    25 

    26