Python/sorts/recursive_mergesort_array.py
Benjamin Fein 650039a279
Add a recursive merge sort algorithm that accepts an array as input. (#4462)
This is a different recursive implementation of the merge sort algorithm.

* Recursive Merge Sort That Accepts an Array 

Recursive Merge Sort That Accepts an Array

* Add Wikipedia Link

* Fixes naming conventions

* Update sorts/recursive_mergesort_array.py

Co-authored-by: Maxim R. <49735721+mrmaxguns@users.noreply.github.com>

* Update sorts/recursive_mergesort_array.py

Co-authored-by: Maxim R. <49735721+mrmaxguns@users.noreply.github.com>

* Update sorts/recursive_mergesort_array.py

Co-authored-by: Maxim R. <49735721+mrmaxguns@users.noreply.github.com>

* Update sorts/recursive_mergesort_array.py

Co-authored-by: Maxim R. <49735721+mrmaxguns@users.noreply.github.com>

* Update sorts/recursive_mergesort_array.py

Co-authored-by: Maxim R. <49735721+mrmaxguns@users.noreply.github.com>

* Adds black format

* Removes unused variables

* Fixes variable names and adds documentation

* Fixes variable names to use snake_case.

* Removes double #.

* Update sorts/recursive_mergesort_array.py

Co-authored-by: Maxim R. <49735721+mrmaxguns@users.noreply.github.com>

Co-authored-by: Maxim R. <49735721+mrmaxguns@users.noreply.github.com>
Co-authored-by: Benjamin Fein <benfein78@icloud.com>
2021-05-30 10:27:42 -05:00

65 lines
2.1 KiB
Python

"""A merge sort which accepts an array as input and recursively
splits an array in half and sorts and combines them.
"""
"""https://en.wikipedia.org/wiki/Merge_sort """
def merge(arr: list[int]) -> list[int]:
"""Return a sorted array.
>>> merge([10,9,8,7,6,5,4,3,2,1])
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
>>> merge([1,2,3,4,5,6,7,8,9,10])
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
>>> merge([10,22,1,2,3,9,15,23])
[1, 2, 3, 9, 10, 15, 22, 23]
>>> merge([100])
[100]
>>> merge([])
[]
"""
if len(arr) > 1:
middle_length = len(arr) // 2 # Finds the middle of the array
left_array = arr[
:middle_length
] # Creates an array of the elements in the first half.
right_array = arr[
middle_length:
] # Creates an array of the elements in the second half.
left_size = len(left_array)
right_size = len(right_array)
merge(left_array) # Starts sorting the left.
merge(right_array) # Starts sorting the right
left_index = 0 # Left Counter
right_index = 0 # Right Counter
index = 0 # Position Counter
while (
left_index < left_size and right_index < right_size
): # Runs until the lowers size of the left and right are sorted.
if left_array[left_index] < right_array[right_index]:
arr[index] = left_array[left_index]
left_index = left_index + 1
else:
arr[index] = right_array[right_index]
right_index = right_index + 1
index = index + 1
while (
left_index < left_size
): # Adds the left over elements in the left half of the array
arr[index] = left_array[left_index]
left_index = left_index + 1
index = index + 1
while (
right_index < right_size
): # Adds the left over elements in the right half of the array
arr[index] = right_array[right_index]
right_index = right_index + 1
index = index + 1
return arr
if __name__ == "__main__":
import doctest
doctest.testmod()