Write a Python program to sort a list of elements using Heap sort.

In computer science, heapsort (invented by J. W. J. Williams in 1964) is a comparison-based sorting algorithm. Heapsort can be thought of as an improved selection sort: like that algorithm, it divides its input into a sorted and an unsorted region, and it interactively shrinks the unsorted region by extracting the largest element and moving that to the sorted region. The improvement consists of the use of a heap data structure rather than a linear-time search to find the maximum. Although somewhat slower in practice on most machines than a well-implemented quicksort, it has the advantage of a more favorable worst-case O(n log n) runtime. Heapsort is an in-place algorithm, but it is not a stable sort. A run of the heapsort algorithm sorting an array of randomly permuted values. In the first stage of the algorithm the array elements are reordered to satisfy the heap property. Before the actual sorting takes place, the heap tree structure is shown briefly for illustration.

Sample Solution:

Python Code:

def heap_data(nums, index, heap_size):
    largest_num = index
    left_index = 2 * index + 1
    right_index = 2 * index + 2
    if left_index < heap_size and nums[left_index] > nums[largest_num]:
        largest_num = left_index

    if right_index < heap_size and nums[right_index] > nums[largest_num]:
        largest_num = right_index
    if largest_num != index:
        nums[largest_num], nums[index] = nums[index], nums[largest_num]
        heap_data(nums, largest_num, heap_size)
def heap_sort(nums):
    n = len(nums)
    for i in range(n // 2 - 1, -1, -1):
        heap_data(nums, i, n)
    for i in range(n - 1, 0, -1):
        nums[0], nums[i] = nums[i], nums[0]
        heap_data(nums, 0, i)
    return nums
user_input = input("Input numbers separated by a comma:n").strip()
nums = [int(item) for item in user_input.split(',')]
heap_sort(nums)
print(nums)

Sample Output:

Input numbers separated by a comma:
 15, 79, 28, 35, 68
[15, 28, 35, 68, 79]

Write a Python program to sort a list of elements using Heap sort

Disclaimer: The information and code presented within this recipe/tutorial is only for educational and coaching purposes for beginners and developers. Anyone can practice and apply the recipe/tutorial presented here, but the reader is taking full responsibility for his/her actions. The author (content curator) of this recipe (code / program) has made every effort to ensure the accuracy of the information was correct at time of publication. The author (content curator) does not assume and hereby disclaims any liability to any party for any loss, damage, or disruption caused by errors or omissions, whether such errors or omissions result from accident, negligence, or any other cause. The information presented here could also be found in public knowledge domains.