mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 01:00:15 +00:00
a4726ca248
* [mypy] Add/fix type annotations for recursive_insertion_sort(#4085) * [mypy] Add/fix type annotations for bucket_sort(#4085) * [mypy] Reworked code for cocktail_shaker_sort so that missing return statement error is resolved(#4085) * [mypy] Add/fix type annotations for patience_sort(#4085) * [mypy] Add/fix type annotations for radix_sort(#4085) Co-authored-by: goodm2 <4qjpngu8mem8cz>
69 lines
2.3 KiB
Python
69 lines
2.3 KiB
Python
#!/usr/bin/env python3
|
|
"""
|
|
Illustrate how to implement bucket sort algorithm.
|
|
|
|
Author: OMKAR PATHAK
|
|
This program will illustrate how to implement bucket sort algorithm
|
|
|
|
Wikipedia says: Bucket sort, or bin sort, is a sorting algorithm that works
|
|
by distributing the elements of an array into a number of buckets.
|
|
Each bucket is then sorted individually, either using a different sorting
|
|
algorithm, or by recursively applying the bucket sorting algorithm. It is a
|
|
distribution sort, and is a cousin of radix sort in the most to least
|
|
significant digit flavour.
|
|
Bucket sort is a generalization of pigeonhole sort. Bucket sort can be
|
|
implemented with comparisons and therefore can also be considered a
|
|
comparison sort algorithm. The computational complexity estimates involve the
|
|
number of buckets.
|
|
|
|
Time Complexity of Solution:
|
|
Worst case scenario occurs when all the elements are placed in a single bucket.
|
|
The overall performance would then be dominated by the algorithm used to sort each
|
|
bucket. In this case, O(n log n), because of TimSort
|
|
|
|
Average Case O(n + (n^2)/k + k), where k is the number of buckets
|
|
|
|
If k = O(n), time complexity is O(n)
|
|
|
|
Source: https://en.wikipedia.org/wiki/Bucket_sort
|
|
"""
|
|
from typing import List
|
|
|
|
|
|
def bucket_sort(my_list: list) -> list:
|
|
"""
|
|
>>> data = [-1, 2, -5, 0]
|
|
>>> bucket_sort(data) == sorted(data)
|
|
True
|
|
>>> data = [9, 8, 7, 6, -12]
|
|
>>> bucket_sort(data) == sorted(data)
|
|
True
|
|
>>> data = [.4, 1.2, .1, .2, -.9]
|
|
>>> bucket_sort(data) == sorted(data)
|
|
True
|
|
>>> bucket_sort([]) == sorted([])
|
|
True
|
|
>>> import random
|
|
>>> collection = random.sample(range(-50, 50), 50)
|
|
>>> bucket_sort(collection) == sorted(collection)
|
|
True
|
|
"""
|
|
if len(my_list) == 0:
|
|
return []
|
|
min_value, max_value = min(my_list), max(my_list)
|
|
bucket_count = int(max_value - min_value) + 1
|
|
buckets: List[list] = [[] for _ in range(bucket_count)]
|
|
|
|
for i in range(len(my_list)):
|
|
buckets[(int(my_list[i] - min_value) // bucket_count)].append(my_list[i])
|
|
|
|
return [v for bucket in buckets for v in sorted(bucket)]
|
|
|
|
|
|
if __name__ == "__main__":
|
|
from doctest import testmod
|
|
|
|
testmod()
|
|
assert bucket_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
|
|
assert bucket_sort([0, 1, -10, 15, 2, -2]) == [-10, -2, 0, 1, 2, 15]
|