61 lines
2.1 KiB
Markdown
61 lines
2.1 KiB
Markdown
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# Bubble Sort
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Bubble Sort also known as Sinking Sort is the simplest sorting algorithm. It swaps the numbers if they are not in correct order. The Worst Case Time Complexity is O(n^2)
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## Steps
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1. Compares the first element with the next element.
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2. If the first element is larger than the next element then the elements are swapped.
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3. Step 2 is performed until the selected number is put to its correct position then the next element is compared.
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4. Multiple passes are made until the sorting is completed.
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## Example
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Given array is
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**5 1 4 2 8**
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Sorted array is
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**1 2 4 5 8**
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Steps
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**First Pass**
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- ( **5 1** 4 2 8 ) → ( **1 5** 4 2 8 ), Here, algorithm compares the first two elements, and swaps since 5 > 1.
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- ( 1 **5 4** 2 8 ) → ( 1 **4 5** 2 8 ), Swap since 5 > 4
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- ( 1 4 **5 2** 8 ) → ( 1 4 **2 5** 8 ), Swap since 5 > 2
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- ( 1 4 2 **5 8** ) → ( 1 4 2 **5 8** ), Now, since these elements are already in order (8 > 5), algorithm does not swap them.
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**Second Pass**
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- ( **1 4** 2 5 8 ) → ( **1 4** 2 5 8 )
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- ( 1 **4 2** 5 8 ) → ( 1 **2 4** 5 8 ), Swap since 4 > 2
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- ( 1 2 **4 5** 8 ) → ( 1 2 **4 5** 8 )
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- ( 1 2 4 **5 8** ) → ( 1 2 4 **5 8** )
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Now, the array is already sorted, but the algorithm does not know if it is completed. The algorithm needs one additional whole pass without any swap to know it is sorted.
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**Third Pass**
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- ( **1 2** 4 5 8 ) → ( **1 2** 4 5 8 )
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- ( 1 **2 4** 5 8 ) → ( 1 **2 4** 5 8 )
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- ( 1 2 **4 5** 8 ) → ( 1 2 **4 5** 8 )
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- ( 1 2 4 **5 8** ) → ( 1 2 4 **5 8** )
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## Implementation
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- [C](../../../algorithms/C/sorting/bubble-sort.c)
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- [C++](../../../algorithms/CPlusPlus/Sorting/bubble-sort.cpp)
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- [CSharp](../../../algorithms/CSharp/src/Sorts/bubble-sort.cs)
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- [Go](../../../algorithms/Go/sorting/bubble-sort.go)
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- [Java](../../../algorithms/Java/sorting/bubble-sort.java)
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- [JavaScript](../../../algorithms/JavaScript/src/sorting/bubble-sort.js)
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- [Python](../../../algorithms/Python/sorting/bubble_sort.py)
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## Video URL
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[Youtube Video about Bubble Sort](https://www.youtube.com/watch?v=Jdtq5uKz-w4&ab_channel=mycodeschool)
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## Others
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[Wikipedia](https://en.wikipedia.org/wiki/Bubble_sort)
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