Bogo sorting - Python

Bogo sorting is a simple sorting algorithm based on the idea of generating all possible permutations of a list until the correct (sorted) one is found. It has a worst-case time complexity of O(n!) and is therefore highly inefficient for large lists, but can be useful for educational purposes or for sorting small or nearly-sorted lists.

Algorithm

The pseudocode for the Bogo sorting algorithm is as follows:

1. while the list is not sorted:

2. shuffle the list randomly
   

3. return the sorted list

Python implementation

Here is a Python implementation of the Bogo sorting algorithm:

import random

def bogo_sort(lst):
    while not is_sorted(lst):
        random.shuffle(lst)
    return lst

def is_sorted(lst):
    for i in range(len(lst) - 1):
        if lst[i] > lst[i + 1]:
            return False
    return True

The bogo_sort function repeatedly shuffles the list using the shuffle method from the random module until the list is sorted, which is checked using the is_sorted function. The is_sorted function compares each pair of adjacent elements in the list and returns False if they are not in ascending order, otherwise it returns True.

Example usage

Here is an example of using the bogo_sort function:

lst = [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5]
sorted_lst = bogo_sort(lst)
print(sorted_lst)  # [1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 9]

Conclusion

Bogo sorting is a highly inefficient sorting algorithm with a worst-case time complexity of O(n!), but can be useful for educational purposes or for sorting small or nearly-sorted lists. Its implementation in Python is straightforward and relies on the shuffle method from the random module.