79 lines
1.6 KiB
Markdown
79 lines
1.6 KiB
Markdown
|
# Selection Sort
|
||
|
|
|
||
|
|
1. Time Complexity: O(n^2) due to two nested loops.
|
||
|
|
2. Space Complexity: O(1)
|
||
|
|
3. Applications: Useful when memory write is a costly operation.
|
||
|
|
4. Founder's Name: Oscar Wilde
|
||
|
|
|
||
|
|
## Steps
|
||
|
|
|
||
|
|
1. Divide the array into two sub-arrays Unsorted and Sorted. Initially, keep the sorted array as empty and unsorted array as the whole array.
|
||
|
|
2. Remove the minimum element from unsorted array and place it at the end of sorted array.
|
||
|
|
3. Repeat step 2 until the length of sorted array is equal to initial array and the length of unsorted array becomes 0.
|
||
|
|
4. Return the sorted array.
|
||
|
|
|
||
|
|
## Example
|
||
|
|
|
||
|
|
Given array is
|
||
|
|
**13, 44, 5, 34, 3**
|
||
|
|
|
||
|
|
Sorted array is
|
||
|
|
**3, 5, 13, 34, 44**
|
||
|
|
|
||
|
|
**First pass**
|
||
|
|
|
||
|
|
Unsorted array: [13, 44, 5, 34, 3]
|
||
|
|
|
||
|
|
Minimum in an unsorted array: 3
|
||
|
|
|
||
|
|
Sorted array: [3]
|
||
|
|
|
||
|
|
**Second pass**
|
||
|
|
|
||
|
|
Unsorted array: [13, 44, 5, 34]
|
||
|
|
|
||
|
|
Minimum in unsorted array: 5
|
||
|
|
|
||
|
|
Sorted array: [3, 5]
|
||
|
|
|
||
|
|
**Third pass**
|
||
|
|
|
||
|
|
Unsorted array: [13, 44, 34]
|
||
|
|
|
||
|
|
Minimum in an unsorted array: 13
|
||
|
|
|
||
|
|
Sorted array: [3, 5, 13]
|
||
|
|
|
||
|
|
**Fourth pass**
|
||
|
|
|
||
|
|
Unsorted array: [44, 34]
|
||
|
|
|
||
|
|
Minimum in an unsorted array: 34
|
||
|
|
|
||
|
|
Sorted array: [3, 5, 13, 34]
|
||
|
|
|
||
|
|
**Fifth pass**
|
||
|
|
|
||
|
|
Unsorted array: [44]
|
||
|
|
|
||
|
|
Minimum in an unsorted array: 44
|
||
|
|
|
||
|
|
Sorted array: [3, 5, 13, 34, 44]
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
Unsorted array: []
|
||
|
|
|
||
|
|
Return the sorted array.
|
||
|
|
|
||
|
|
## Implementation
|
||
|
|
|
||
|
|
- [Java](../../../algorithms/Java/sorting/selection-sort.java)
|
||
|
|
- [C++](../../../algorithms/CPlusPlus/Sorting/selection-sort.cpp)
|
||
|
|
- [JavaScript](../../../algorithms/JavaScript/src/sorting/selection-sort.js)
|
||
|
|
- [Python](../../../algorithms/Python/sorting/selection_sort.py)
|
||
|
|
|
||
|
|
## Video URL
|
||
|
|
|
||
|
|
[Selection Sort](https://www.youtube.com/watch?v=GUDLRan2DWM&list=PL2_aWCzGMAwKedT2KfDMB9YA5DgASZb3U&index=2)
|