code: 
  
  
  
  
  
  
  def    _lowerCamelCase	(	__lowerCamelCase   ,       __lowerCamelCase   ,       __lowerCamelCase					)   -> int:
  
       '''simple docstring'''
       UpperCAmelCase__			:     List[Any]										= index
       UpperCAmelCase__			:     Optional[Any]										= 2 * index + 1
       UpperCAmelCase__			:     int										= 2 * index + 2
       if left_index < heap_size and unsorted[left_index] > unsorted[largest]:
            UpperCAmelCase__			:     Any										= left_index
  
       if right_index < heap_size and unsorted[right_index] > unsorted[largest]:
            UpperCAmelCase__			:     List[Any]										= right_index
  
       if largest != index:
            UpperCAmelCase__			,		UpperCAmelCase__			:     Optional[int]										= unsorted[index], unsorted[largest]
            heapify(lowercase__   ,       lowercase__   ,       lowercase__					)
  
  
  
  
  
  def    _lowerCamelCase	(	__lowerCamelCase					)   -> List[str]:
  
       '''simple docstring'''
       UpperCAmelCase__			:     Dict										= len(lowercase__					)
       for i in range(n // 2 - 1   ,       -1   ,       -1					):
            heapify(lowercase__   ,       lowercase__   ,       lowercase__					)
       for i in range(n - 1   ,       0   ,       -1					):
            UpperCAmelCase__			,		UpperCAmelCase__			:     List[str]										= unsorted[i], unsorted[0]
            heapify(lowercase__   ,       0   ,       lowercase__					)
       return unsorted
  
  
  if __name__ == "__main__":
        SCREAMING_SNAKE_CASE__		:       Dict												=							input("""Enter numbers separated by a comma:\n""").strip()
        SCREAMING_SNAKE_CASE__		:       List[str]												=							[int(item) for item in user_input.split(""",""")]
        print(heap_sort(unsorted))
  
  
  
  
  
  
  
style_context: 
  
  
  
  
  
  
  from __future__ import annotations
  
  
  
  
  
  
  
  class 							UpperCAmelCase_     :
  
  
  
  
       def __init__(							self  ,	_lowerCAmelCase		):
            UpperCAmelCase__			:     List[Any]										= value
            UpperCAmelCase__			:     Node | None										= None
            UpperCAmelCase__			:     Node | None										= None
  
  
  
  
  
  
  
  class 							UpperCAmelCase_     :
       __lowerCamelCase										=     42
  
  
  
  
       def __init__(							self		):
            UpperCAmelCase__			:     Any										= 0
  
  
  
  
       def      __UpperCAmelCase     (							self  ,	_lowerCAmelCase  ,	_lowerCAmelCase		):
            if node is None:
                 return
  
            if path_sum == self.target:
                 self.paths += 1
  
            if node.left:
                 self.depth_first_search(node.left  ,	path_sum + node.left.value		)
            if node.right:
                 self.depth_first_search(node.right  ,	path_sum + node.right.value		)
  
  
  
  
       def      __UpperCAmelCase     (							self  ,	_lowerCAmelCase  ,	_lowerCAmelCase = None		):
            if node is None:
                 return 0
            if target is not None:
                 UpperCAmelCase__			:     List[Any]										= target
  
            self.depth_first_search(_lowerCAmelCase  ,	node.value		)
            self.path_sum(node.left		)
            self.path_sum(node.right		)
  
            return self.paths
  
  
  if __name__ == "__main__":
        import doctest
  
        doctest.testmod()
  
  
  
  
  
  
  