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Algorithm Analysis
Basic Sorting Algorithms
Chung-Ang University, Jaesung Lee
The original version of this content is a collaboration of Dartmouth Computer Science professors Thomas Cormen and Devin Balkcom, plus the Khan Academy computing curriculum team.URL: www.khanacademy.org
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Sorting
2
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Sorting
3
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Sorting
4
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Sorting Algorithms
5
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Classification of Sorting Algorithms• Computational Complexity
6
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Classification of Sorting Algorithms• Computational Complexity
• Memory Usage
7
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Classification of Sorting Algorithms• Computational Complexity
• Memory Usage
• Recursion
8
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Classification of Sorting Algorithms• Computational Complexity
• Memory Usage
• Recursion
• Stability
9
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Classification of Sorting Algorithms• Computational Complexity
• Memory Usage
• Recursion
• Stability
• Whether or not they are a comparison sort
10
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Classification of Sorting Algorithms• Computational Complexity
• Memory Usage
• Recursion
• Stability
• Whether or not they are a comparison sort
• Adaptability
11
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Common Sorting Algorithms• Bubble sort
12
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Common Sorting Algorithms• Bubble sort
• Selection sort
13
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Common Sorting Algorithms• Bubble sort
• Selection sort
• Insertion sort
14
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Common Sorting Algorithms• Bubble sort
• Selection sort
• Insertion sort
• Merge sort
15
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Common Sorting Algorithms• Bubble sort
• Selection sort
• Insertion sort
• Merge sort
• Quick sort
16
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Selection sort
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Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Selection sort
18
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Minimum element in a subarray
19
Index 0 1 2 3 4
Value 13 19 18 4 10
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Minimum element in a subarray
20
Index 0 1 2 3 4
Value 4 19 18 13 10
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Minimum element in a subarray
21
Index 0 1 2 3 4
Value 4 19 18 13 10
“subarray”
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Minimum element in a subarray
22
Index 0 1 2 3 4
Value 4 19 18 13 10
“subarray”
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
23
Index 0 1 2 3 4
Value 4 19 18 13 10
“subarray”
“indexOfMinimum” function
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
24
Index 0 1 2 3 4
Value 4 19 18 13 10
“subarray”
“indexOfMinimum” function
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
25
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
26
Index 0 1 2 3 4
Value 4 19 18 13 10
“subarray”
“indexOfMinimum” function
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
27
Index 0 1 2 3 4
Value 4 19 18 13 10
“subarray”
“indexOfMinimum” function
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
28
Index 0 1 2 3 4 5 6 7
Value 1 2 3 4 5 6 7 8
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
29
Index 0 1 2 3 4 5 6 7
Value 1 2 3 4 5 6 7 8
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
30
Index 0 1 2 3 4 5 6 7
Value 1 2 3 4 5 6 7 8
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
31
Index 0 1 2 3 4 5 6 7
Value 1 2 3 4 5 6 7 8
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Asymptotic analysis for selection sort
32
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
33
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
34
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of selection sort
35
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
36
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
37
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
38
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
39
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
40
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
41
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
42
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
43
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
44
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
45
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
46
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
47
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
48
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
49
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
50
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Insertion sort
51
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Inserting a value into a sorted subarray
52
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of insertion sort
53
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of insertion sort
54
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of insertion sort
55
Algorithm Analysis / Chung-Ang University / Professor Jaesung Lee
Analysis of insertion sort
56
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