Imagine wanting to perform a selection sort on a collection of Comparable objects. The collection is an instance of the class Group.
a. What private methods would you need?
b. Implement a method to perform a selection sort on the objects in an instance of Group.
c. Using Big Oh notation, describe the time efficiency of your method.
As Segment 8.25 suggests, you can improve the efficiency of the Shell sort by adding 1 to space any time it is even.
a. By looking at several examples, convince yourself that consecutive increments do not have a common factor.
b. Subtracting 1 from space any time that it is even does not produce consecutive increments without common factors. Find an example of n that demonstrates this phenomenon.
c. Revise the implementation of the Shell sort given in Segment 8.24 so that space is not even.
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