Bucket sort, or BIN sort, is a sorting algorithm that works by distribute the components of an array into a number of buckets. It is a distribution sort, a generalization of pigeonhole sort, and is a cousin of radix sort in the most-to-least significant digit flavor.

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```
#!/usr/bin/env python
"""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)
DEFAULT_BUCKET_SIZE = 5
def bucket_sort(my_list, bucket_size=DEFAULT_BUCKET_SIZE):
if len(my_list) == 0:
raise Exception("Please add some elements in the array.")
min_value, max_value = (min(my_list), max(my_list))
bucket_count = (max_value - min_value) // bucket_size + 1
buckets = [[] for _ in range(int(bucket_count))]
for i in range(len(my_list)):
buckets[int((my_list[i] - min_value) // bucket_size)].append(my_list[i])
return sorted(
[buckets[i][j] for i in range(len(buckets)) for j in range(len(buckets[i]))]
)
if __name__ == "__main__":
user_input = input("Enter numbers separated by a comma:").strip()
unsorted = [float(n) for n in user_input.split(",") if len(user_input) > 0]
print(bucket_sort(unsorted))
```