Data Structure Project 1 
Deadline: Apr 28, 23:59 
 
This project requires students to compare five sorting algorithms, which are “Bubble Sort”, 
“Insertion Sort”, “Merge Sort”, “Quick Sort”, and “Heap Sort” in the aspect of time 
complexity, best&worst case scenario. 
 
Requirement: 
 
1. Implement the five sorting algorithms based on the skeleton code provided. 
2. Compare the running time of five sorting algorithms, and fill the following table: 
 
 t 3 4 5 6 … 14 15 16 17 
Bubble 
Insertion 
Merge 
Quick 
Heap 
 
where each cell in the table denotes the running time (recorded by C++ timer) given the 
input size (number of elements in the list to be sorted) 2t
. For example, at column “17”, 
each soring algorithm should sort the list containing 217
 random integers. Note: in order to 
be fairness to all the sorting algorithms, the input random integer list should be the same. 
3. Use “t” as X-axis and running time (value in each cell in above table) as Y-axis, plot all 
the points and sketch the curve (You may do this by Excel) for each sorting 
algorithms. Draw all five curves in one X-Y coordinate plane. Compare the five curves 
and explain the reason. 
4. Describe the best/worst case and the corresponding time complexity of each sorting 
algorithm. You may fill the tables below: 
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