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Algorithms Python

YANG HU

Simple is the beginning of wisdom. From the essence of practice, this book to briefly explain the concept, and vividly cultivate programming interest , you will learn it easy fast and well.

http://en.verejava.com

Copyright 2020 Yang Hu

All rights reserved.

ISBN : 9798663846998

CONTENTS

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14.1

14.2

14.3

14.4

15.1

15.2

15.3

15.4

16.1

16.2

16.3

17.1

17.2

17.3

23.1

23.2

23.3

23.4

23.5

23.6

26.1

26.2

26.3

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Linear Table Definition

Linear Table:

Sequence of elements, is a one-dimensional array.

. Define a one-dimensional array of student scores

test_one_array.py

import sys def main (): scores = [ , , , , , ] length = len ( scores ) for i in range ( , length ): print ( scores [ i ], "," , end = "" ) if __name__ == "__main__" : main ()

Result:

90, 70, 50, 80, 60, 85

Maximum Value

Maximum of Integer Sequences:

. Algorithmic ideas

Compare arrays[i] with arrays[i + 1] , if arrays[i] > arrays[i + 1] are exchanged. So continue until the last number, arrays[length - 1] is the maximum.

test_max_value.py

import sys def max ( arrays ): length = len ( arrays ) for i in range ( , length - ): if ( arrays [ i ] > arrays [ i + ]): temp = arrays [ i ] arrays [ i ] = arrays [ i + ] arrays [ i + ] = temp maxValue = arrays [ length - ] return maxValue def main (): scores = [ , , , , ] maxValue = max ( scores ) print ( "Max Value = " , maxValue ) if __name__ == "__main__" : main ()

Result:

Max Value = 95

Bubble Sorting Algorithm

Bubble Sorting Algorithm:

Compare arrays[j] with arrays[j + 1] , if arrays[j] > arrays[j + 1] are exchanged.

Remaining elements repeat this process, until sorting is completed.

Sort the following numbers from small to large

Explanation:

No sorting,

Comparing,

Already sorted

. First sorting:

. Second sorting:

. Third sorting:

No swap so terminate sorting : we can get the sorting numbers from small to large

Create Test File : test_bubble_sort.py

import sys def sort ( arrays ): length = len ( arrays ) for i in range ( , length - ): for j in range ( , length - i - ): if arrays [ j ] > arrays [ j + ]: flag = arrays [ j ] arrays [ j ] = arrays [ j + ] arrays [ j + ] = flag def main (): scores = [ , , , , ] sort ( scores ) for score in scores : print ( score , "," , end = "" ) if __name__ == "__main__" : main ()

Result:

50 ,60 ,70 ,80 ,95 ,

Minimum Value

Search the Minimum of Integer Sequences:

. Algorithmic ideas

Initial value minIndex=0, j=1 Compare arrays[minIndex] with arrays[j]

if arrays[minIndex] > arrays[j] then minIndex=j, j++ else j++. continue until the last number, arrays[minIndex] is the Min Value.

test_min_value.py

import sys def min ( arrays ): minIndex = ; length = len ( arrays ) - for j in range ( , length ): if ( arrays [ minIndex ] > arrays [ j ]): minIndex = j return arrays [ minIndex ] def main (): scores = [ , , , , ] minValue = min ( scores ) print ( "Min Value = " , minValue ) if __name__ == "__main__" : main ()

Result:

Min Value = 50

Select Sorting Algorithm

Select Sorting Algorithm:

Sorts an array by repeatedly finding the minimum element from unsorted part and putting it at the beginning.

Sort the following numbers from small to large

Explanation:

No sorting,

Comparing,

Already sorted.

. First sorting:

. Second sorting:

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