# Step-by-step Bubble Sort Algorithm With Example

A bubble sort is a type of sorting algorithm used to compare and rearrange data in the order that minimizes how much time it takes. Bubble Sort has two primary steps, divide and conquer followed by iterative bubble merge phase.

The “bubble sort example step by step” is a tutorial on how to do the bubble sort algorithm. The algorithm is explained with an example that includes a detailed step-by-step explanation. The bubble sort method will be covered in this lesson. Working examples of the bubble sort algorithm in Python may also be found.

#### What is the Bubble Sort Algorithm, and how does it work?

Bubble sort is a simple sorting method. This sorting algorithm is a comparison-based method that compares each pair of adjacent items and swaps them if they are out of order. Because the average and worst-case Complexity of the bubble sort method are O(n2), where n is the number of items, it is not suited for huge data sets. It is possible to arrange the items in ascending or descending order.

#### What is Bubble Sort and how does it work?

1. Compare the first and second items starting with the first index. The first and second elements are switched if the first is bigger than the second. Compare and contrast the second and third items now. If they aren’t in the right sequence, swap them. The procedure continues until the final piece is added.
2. For the remaining iterations, the same procedure is followed. The biggest element among the unsorted items is put at the conclusion of each iteration. The comparison takes place up to the final unsorted element in each iteration. When all of the unsorted items have been put in their right placements, the array is said to be sorted. #### The Bubble Sort Algorithm’s fundamental structure

bubbleSort(array) for i <- 1 to indexOfLastUnsortedElement-1 if leftElement > rightElement switch to the left Right and element Element Sort bubbles at the end

 bubbleSort(array)   for i <- 1 to indexOfLastUnsortedElement-1     if leftElement > rightElement       switch to the left Right and element Element Sort bubbles at the end

#### Examples of Python

Python’s bubble sort bubbleSort(array): bubbleSort(array): def bubbleSort(array): def bubbleSort(array def bubbleSort(array # execute two loops: one for walking through the array, and one for walking through the array. # as well as one for comparison in range(len(array)) for I range(0, len(array) – I – 1) for j: # To sort in descending order, change > to < in this line. if array[j] > array[j + 1]: # switch if the greater is in the back. (array[j], array[j + 1]) = (array[j + 1], array[j]) = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, bubbleSort(data) ‘Sorted Array in Ascending Order:’ ‘Sorted Array in Ascending Order:’ print(‘Sorted Array in Ascending Order:’) print(data)

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Python’s bubble sort   bubbleSort(array): bubbleSort(array): def bubbleSort(array): def bubbleSort(array def bubbleSort(array       # execute two loops: one for walking through the array, and one for walking through the array.     # as well as one for comparison     in range(len(array)) for I         range(0, len(array) – I – 1) for j:               # To sort in descending order, change > to < in this line.             if array[j] > array[j + 1]:                   # switch if the greater is in the back.                 (array[j], array[j + 1]) = (array[j + 1], array[j]) = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j     data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, bubbleSort(data) ‘Sorted Array in Ascending Order:’ ‘Sorted Array in Ascending Order:’ print(‘Sorted Array in Ascending Order:’) print(data)

#### Bubble Sort with Improvements

Even if the array is already sorted, the above function does all possible comparisons. It lengthens the time it takes to complete a task. The code may be made more efficient by swapping out an additional variable. If no switching occurs after each iteration, there is no need to repeat the loop.

In such a case, the variable swapped is set false. Thus, we can prevent further iterations. The algorithm for Bubble Sort with Improvements is

bubbleSort(array) swapped <- false for i <- 1 to indexOfLastUnsortedElement-1 if leftElement > rightElement switch to the left Right and element Element swapped <- true Sort bubbles at the end

 bubbleSort(array)   swapped <- false   for i <- 1 to indexOfLastUnsortedElement-1     if leftElement > rightElement       switch to the left Right and element Element       swapped <- true Sort bubbles at the end

#### Bubble Sort with Improvements Examples

# Bubble Sort with Improvements in python bubbleSort(array): bubbleSort(array): def bubbleSort(array): def bubbleSort(array def bubbleSort(array # execute two loops: one for walking through the array, and one for walking through the array. # as well as one for comparison in range(len(array)) for I # swapped is a counter that keeps track of swaps. True if exchanged range(0, len(array) – I – 1) for j: # To sort in descending order, change > to < in this line. if array[j] > array[j + 1]: # switch if the greater is in the back. (array[j], array[j + 1]) = (array[j + 1], array[j]) = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j False if swapped = False if swapped = False # If no swapping occurs in the previous swap, the array is already sorted. if they were swapped: break data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, bubbleSort(data) ‘Sorted Array in Ascending Order:’ print(‘Sorted Array in Ascending Order:’) print(data)

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 # Bubble Sort with Improvements in python   bubbleSort(array): bubbleSort(array): def bubbleSort(array): def bubbleSort(array def bubbleSort(array       # execute two loops: one for walking through the array, and one for walking through the array.     # as well as one for comparison     in range(len(array)) for I           # swapped is a counter that keeps track of swaps.         True if exchanged         range(0, len(array) – I – 1) for j:               # To sort in descending order, change > to < in this line.             if array[j] > array[j + 1]:                   # switch if the greater is in the back.                 (array[j], array[j + 1]) = (array[j + 1], array[j]) = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j = (array[j], array[j]) = (array[j], array[j]) = (array[j], array[j                 False if swapped = False if swapped = False           # If no swapping occurs in the previous swap, the array is already sorted.         if they were swapped:             break     data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, 0, 11, -9] data = [-2, 45, 0, 11, -9] data = [-2, 45, data = [-2, 45, bubbleSort(data) ‘Sorted Array in Ascending Order:’ print(‘Sorted Array in Ascending Order:’) print(data)

#### Complexity

One of the most basic sorting algorithms is Bubble Sort. In the algorithm, there are two loops.

Cycle The total number of comparisons
1st (n-1)
2nd (n-2)
3rd (n-3)
……. ……
last 1

The total (n – 1) + (n – 2) + (n – 3) +…..+ 1 = n(n – 1) / 2 = n(n – 1) / 2 = n(n – 1) / 2 = n(n – 1) / 2 = n(n – 1) / 2 = n(n n2 n2 n2 n2 n2 n2 n2 Complexity: O(n2) We may also assess the complexity by counting the number of loops. The complexity is n*n = n2 since there are two loops.

#### Complexities of Time:

• Complexity in the worst-case scenario: O (n2) The worst case scenario happens if we wish to sort in ascending order but the array is in descending order.
• Complexity in the Best-Case Scenario: O (n) There is no need to sort the array if it is already sorted.
• Case Complexity on the Average: O (n2) It happens when the array’s items are mixed together (neither ascending nor descending).

#### Complexity of Space:

Because an additional variable temp is utilized for swapping, the space complexity is O(1). The variable exchanged contributes to the space complexity of the improved method, making it O. (2).

#### Applications for Bubble Sorting

In the following situations, bubble sort is used:

1. It makes no difference how complicated the code is.
2. It is preferable to use a short code.

The “bubble sort algorithm c++” is a step-by-step bubble sort algorithm. The example code is included and the article includes a video that shows how to implement the bubble sort algorithm.

#### How bubble sort works step by step?

A: Bubble sort is a sorting algorithm that uses the principle of popping bubbles in an ascending order to group items. The first step would be to create a list of numbers starting from smallest and going up until you reach your largest number. After, put these smaller numbers into groups called buckets, or bubbles. Then take each bubble and insert it at the end of its corresponding bucket without disturbing any other bubbles in their original position. Lastly go through each column one by one eliminating any duplicates found along with checking if there are more than two duplicate values using greedy search criteria which means we will choose the larger value out of our possible choices when making decisions on where to place this specific bubble

#### What is bubble sort write steps of bubble sort algorithm?

A: Bubble sort is an algorithm that sorts items into groups of like-items, using the bubble concept.
Steps for bubble sort are as follows:
1) Sort all but one item from A and move to B.
2) Repeat step 1 until you have a single remaining item in A.
3) Move the last remaining item out of A and replace it with your sorted list from 2).

#### What is an example of a sorting algorithm?

A: A good example of a sorting algorithm is the bubble sort. This algorithm works by comparing adjacent pairs of items, swapping them and then recursively doing this until all items are in their correct order.

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