--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/assignment2021scala/core1/collatz.scala	Mon Nov 08 23:17:51 2021 +0000
@@ -0,0 +1,45 @@
+// Core Part 1 about the 3n+1 conjecture
+//============================================
+
+object C1 {
+
+//(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) = ???
+
+//(3) Implement a function that calculates the last_odd
+//    number in a collatz series.  For this implement an
+//    is_pow_of_two function which tests whether a number 
+//    is a power of two. The function is_hard calculates 
+//    whether 3n + 1 is a power of two. Again you can
+//    assume the input ranges between 1 and 1 Million,
+//    and also assume that the input of last_odd will not 
+//    be a power of 2.
+
+def is_pow_of_two(n: Long) : Boolean = ???
+
+def is_hard(n: Long) : Boolean = ???
+
+def last_odd(n: Long) : Long = ???
+
+}
+
+
+