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def heap_sort(arr):
heapify(arr)
end = len(arr) - 1
while end > 0:
arr[end], arr[0] = arr[0], arr[end]
shift_down(arr, 0, end - 1)
end -= 1
return arr
def heapify(arr):
start = len(arr) // 2
while start >= 0:
shift_down(arr, start, len(arr) - 1)
start -= 1
def shift_down(arr, start, end):
root = start
while root * 2 + 1 <= end:
child = root * 2 + 1
if child + 1 <= end and arr[child] < arr[child + 1]:
child += 1
if child <= end and arr[root] < arr[child]:
arr[root], arr[child] = arr[child], arr[root]
root = child
else:
return
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