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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

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Sorting

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Sorting

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Sorting Algorithms

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Classification of Sorting Algorithms• Computational Complexity

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• Memory Usage

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• Memory Usage

• Recursion

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• Memory Usage

• Recursion

• Stability

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• Memory Usage

• Recursion

• Stability

• Whether or not they are a comparison sort

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• Memory Usage

• Recursion

• Stability

• Whether or not they are a comparison sort

• Adaptability

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Common Sorting Algorithms• Bubble sort

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• Selection sort

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• Selection sort

• Insertion sort

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• Selection sort

• Insertion sort

• Merge sort

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• Selection sort

• Insertion sort

• Merge sort

• Quick sort

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Selection sort

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Selection sort

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Minimum element in a subarray

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Index 0 1 2 3 4

Value 13 19 18 4 10



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Index 0 1 2 3 4

Value 4 19 18 13 10



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Index 0 1 2 3 4

Value 4 19 18 13 10

“subarray”



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Index 0 1 2 3 4

Value 4 19 18 13 10

“subarray”


Analysis of selection sort

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Index 0 1 2 3 4

Value 4 19 18 13 10

“subarray”

“indexOfMinimum” function



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Index 0 1 2 3 4

Value 4 19 18 13 10

“subarray”




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Index 0 1 2 3 4

Value 4 19 18 13 10

“subarray”




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Index 0 1 2 3 4

Value 4 19 18 13 10

“subarray”




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Index 0 1 2 3 4 5 6 7

Value 1 2 3 4 5 6 7 8



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Index 0 1 2 3 4 5 6 7

Value 1 2 3 4 5 6 7 8



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Index 0 1 2 3 4 5 6 7

Value 1 2 3 4 5 6 7 8



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Index 0 1 2 3 4 5 6 7

Value 1 2 3 4 5 6 7 8


Asymptotic analysis for selection sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Insertion sort

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Inserting a value into a sorted subarray

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Analysis of insertion sort

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