## Definition of selection sort

Selection sort is one of the simplest sorting algorithms, it works by continually finding the minimum number in the array and inserting it at the beginning.

## Space and Time complexity

The time complexity of selection sort is **O(n ^{2})** and it's space complexity is

**O(1)**

## Selection sort algorithm

- itertate from 0 to len(arr) - 1
- seting to minimunIdx variable the first element index in the unsorted part
- loop trough the unsorted part
- if arr[j] < arr[minimumIdx] => minimumIdx = j
- swaping arr[minimumIdx] with the first in the unsorted part (unsortedPart[0])

## Implementation of selection sort using python

```
def selectionSortAlgorithm(arr: list) -> list:
"""
[ name ] => Selecion sort
[ type ] => Sorting algorithms
[ time complexity ] => O(n^2)
[ space complexity ] => O(1)
[ params ] => ( arr {list} array to sort )
[ return ] => sorted list
[ logic ] => (
1. itertate from 0 to len(arr) - 1
2. seting to minimunIdx variable the first element index in the unsorted part
3. loop trough the unsorted part
4. if arr[j] < arr[minimumIdx] => minimumIdx = j
5. swaping arr[minimumIdx] with the first in the unsorted part (unsortedPart[0])
)
"""
# itertate from 0 to len(arr) - 1
for i in range(len(arr)):
# setting to minimunIdx variable the first element index in the unsorted part
minIdx = i
# loop trough the unsorted part
for j in range(i + 1, len(arr)):
# if arr[j] < currentMinimum (arr[minIdx])
if arr[j] < arr[minIdx]:
# minIdx will be the index of the new minimum
minIdx = j
# swaping the minimum with the first element in the unsorted part
arr[minIdx], arr[i] = arr[i], arr[minIdx]
return arr
```

## Implementation of selection sort using javascript

```
/**
* sort an array using selection sort algorithm
* time complexity : O(n^2)
* space complexity : O(1)
* @param {Array} arr array to sort
* @returns {Array} sorted array
*/
const SelectionSortAlgorithm = (arr) => {
// iterate from 0 to arr.length - 1
for (let i = 0; i < arr.length; i++){
// setting to minimunIdx variable the first element index in the unsorted part
var minIdx = i;
// loop trough the unsorted part
for (let j = i + 1; j < arr.length; j++) {
// if arr[j] < currentMinimum (arr[minIdx])
if (arr[j] < arr[minIdx]) {
// minIdx will be the index of the new minimum
minIdx = j;
}
}
// swaping the minimum with the first element in the unsorted part
[arr[minIdx], arr[i]] = [arr[i], arr[minIdx]];
}
return arr
}
```

## Exercise

sort an array in descending order using the selection sort algorithm

## References and useful resources

- https://www.geeksforgeeks.org/python-program-for-selection-sort/
- https://www.programiz.com/dsa/selection-sort
- https://stackoverflow.com/questions/22898928/selection-sort-in-javascript
- https://www.youtube.com/watch?v=EnodMqJuQEo
- https://www.geeksforgeeks.org/selection-sort/
- https://www.youtube.com/watch?v=xWBP4lzkoyM

Have a good day :)

#day_10

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