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Assignment #3 Implementing a Sorting Algorithm

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CPSC 331 — Assignment #3
Implementing a Sorting Algorithm
About This Assignment

1. A file
Array.java
is now available. This provides a bounded array that works well with generic code.
Please do not modify this file when working on this assignment.
A much less complete file
ArrayUtils.java
is now available as well.
Complete the implementation of the method with signature
public void sort (Array<T A)
in this file.
For full marks — or even very generous part marks — the algorithm that you implement,
must have the following properties.
• The number of steps used to sort an Array with length n must be in O(n log n) in
the worst case – not just “most of the time.”
• The algorithm must sort its input array in place, using O(log n) additional storage
— including the size of a call stack whenever a recursive method is being used.
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A small number of bonus marks will be given if you implement a version of the algorithm
that only uses a constant amount of additional storage — provided that you sketch brief
proofs of the correctness and efficiency of the algorithm that you have chosen.
2. Write a report describing the algorithm you selected, and explaining why you chose it.
If this is different from an algorithm that was provided in the course lecture notes then
sketches of proofs of the correctness and efficiency of the algorithm should be included
in your answer to this question.
If you have simply implemented an algorithm from class then report will probably be quite
brief.
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