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Bubble Sort.md

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Bubble Sort

Problem Statement

Given an unsorted array of n elements, write a function to sort the array

Approach

  • select the first element of the array
  • compare it with its next element
  • if it is larger than the next element then swap them
  • else do nothing
  • keep doing this for every index of the array
  • repeat the above process n times.

Time Complexity

O(n^2) Worst case performance

O(n) Best-case performance

O(n^2) Average performance

Space Complexity

O(1) Worst case

Founder's Name

  • The term “Bubble Sort” was first used by Iverson, K in 1962.

Example

arr[] = {10, 80, 40, 30}
Indexes: 0   1   2   3    

1. Index = 0, Number = 10
2. 10 < 80, do nothing and continue

3. Index = 1, Number = 80
4. 80 > 40, swap 80 and 40
5. The array now is {10, 40, 80, 30}

6. Index = 2, Number = 80
7. 80 > 30, swap 80 and 30
8. The array now is {10, 40, 30, 80}

Repeat the Above Steps again

arr[] = {10, 40, 30, 80}
Indexes: 0   1   2   3   

1. Index = 0, Number = 10
2. 10 < 40, do nothing and continue

3. Index = 1, Number = 40
4. 40 > 30, swap 40 and 30
5. The array now is {10, 30, 40, 80}

6. Index = 2, Number = 40
7. 40 < 80, do nothing
8. The array now is {10, 30, 40, 80}

Repeat the Above Steps again

arr[] = {10, 30, 40, 80}
Indexes: 0   1   2   3   

1. Index = 0, Number = 10
2. 10 < 30, do nothing and continue

3. Index = 1, Number = 30
4. 30 < 40, do nothing and continue

5. Index = 2, Number = 40
6. 40 < 80, do nothing

Since there are no swaps in above steps, it means the array is sorted and we can stop here.

Video Explanation

A video explaining the Bubble Sort Algorithm

Others

Bubble sort is also known as Sinking sort.

Animation Explanation