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Presentation transcript:

And now for something completely different . . . Nov 23, 2017 AD c 2018

Simple Sorts Nov 23, 2017 AD c 2018

Simple Sorts 1 Bubble Sort 2 Selection Sort Nov 23, 2017 AD c 2018

Simple Sorts 1 Bubble Sort 2 Selection Sort Nov 23, 2017 AD c 2018

Bubble Sort: Example http://cs.armstrong.edu/liang/animation/web/BubbleSortNew.html Nov 23, 2017 AD c 2018

Bubble Sort: Example One Pass List after completion of each pass Nov 23, 2017 AD c 2018

Bubble Sort: Algorithm for pass = 1 ... n -1 swap= false for position = 1 ... n - pass if element at position < element at position +1 swap elements swap = true end if next position if swap = false break next pass Nov 23, 2017 AD c 2018

Bubble Sort: Analysis Number of comparisons (worst case): (n-1) + (n-2) + ... + 3 + 2 + 1  O(n²) Number of comparisons (best case): n – 1  O(n) Number of swaps (worst case): Number of swaps (best case): 0  O(1) Overall worst case: O(n²) + O(n²) = O(n²) Nov 23, 2017 AD c 2018

A Bubblesort program http://www.annedawson.net/bubblesort.py Nov 23, 2017 AD c 2018

Simple Sorts 1 Bubble Sort 2 Selection Sort Nov 23, 2017 AD c 2018

Selection Sort: Example http://cs.armstrong.edu/liang/animation/web/SelectionSortNew.html Nov 23, 2017 AD c 2018

Selection Sort: Analysis Number of comparisons: (n-1) + (n-2) + ... + 3 + 2 + 1 = n * (n-1)/2 = (n² - n )/2  O(n²) Number of swaps (worst case): n – 1 O(n) Overall (worst case) O(n) + O(n²) = O(n²) (‘quadratic sort‘) Nov 23, 2017 AD c 2018

This presentation uses the following program file: http://www.annedawson.net/bubblesort.py See all programs at: http://www.annedawson.net/Python3Programs.txt Nov 23, 2017 AD c 2018

End of Python_SimpleSorts.ppt Nov 23, 2017 AD c 2018

Last updated: Friday 23rd November 2017, 9:15 PT, AD AD c 2018