### Table Of Contents

This tutorial was built using Python 3.6

Quicksort is one of the most popular sorting algorithms you will come across in computer science. This is because of it’s `average`

case performance of `O(n log n)`

.

The Quicksorting algorithm uses a `divide-and-conquer`

approach and recursively `partitions`

the elements in an unsorted array around a randomly picked `pivot`

element.

- A Random
`Pivot`

element is chosen from our unsorted array. - We create 3 distinct
`partitions`

:- Equal - for all elements equal to our
`pivot`

element - Lower - for all elements lower than our
`pivot`

element - Higher - for all elements higher than our
`pivot`

element

- Equal - for all elements equal to our
- We iterate through our array and sort those that are less than our
`pivot`

into the lower`partition`

- We sort those that are higher than our
`pivot`

into the higher`partition`

- We then recursively sort through these higher and lower
`partitions`

Whilst this typically runs with a performance of `O(n log n)`

, it should be noted that the worst case performance for this algorithm is actually `O(N^2)`

which occurs if you consistently choose the worst possible point in the array to `pivot`

on.

## Implementing this in Python

Now that we understand the logic behind the quicksorting algorithm, it’s time to implement this in Python. Below we’ll be defining a `quicksort()`

function which will take in an `array`

as it’s only parameter.

```
def quicksort(array):
# We define our 3 arrays
less = []
equal = []
greater = []
# if the length of our array is greater than 1
# we perform a sort
if len(array) > 1:
# Select our pivot. This doesn't have to be
# the first element of our array
pivot = array[0]
# recursively go through every element
# of the array passed in and sort appropriately
for x in array:
if x < pivot:
less.append(x)
if x == pivot:
equal.append(x)
if x > pivot:
greater.append(x)
# recursively call quicksort on gradually smaller and smaller
# arrays until we have a sorted list.
return quicksort(less)+equal+quicksort(greater)
else:
return array
```

## Testing it works

We can test this by doing the following:

```
>>> import quickSort
>>> quickSort.quicksort([6,4,7,1,2,9,12,3])
[1, 2, 3, 4, 6, 7, 9, 12]
```

## Conclusion

If you found this tutorial useful or require further assistance or info then please let me know in the comments section below!