
def 						A_			(				snake_case				: Optional[int]			,   snake_case				: Optional[int]			,   snake_case				: List[str]			)   ->     int:



						'''simple docstring'''

						__UpperCamelCase  	=      index
						__UpperCamelCase  	=      2 * index + 1
						__UpperCamelCase  	=      2 * index + 2
						if left_index < heap_size and unsorted[left_index] > unsorted[largest]:
												__UpperCamelCase  	=      left_index

						if right_index < heap_size and unsorted[right_index] > unsorted[largest]:
												__UpperCamelCase  	=      right_index

						if largest != index:
												__UpperCamelCase	,				__UpperCamelCase  	=      unsorted[index], unsorted[largest]
												heapify(snake_case			,   snake_case			,   snake_case			)




def 						A_			(				snake_case				: Union[str, Any]			)   ->     Optional[Any]:



						'''simple docstring'''

						__UpperCamelCase  	=      len(snake_case			)
						for i in range(n // 2 - 1			,   -1			,   -1			):
												heapify(snake_case			,   snake_case			,   snake_case			)
						for i in range(n - 1			,   0			,   -1			):
												__UpperCamelCase	,				__UpperCamelCase  	=      unsorted[i], unsorted[0]
												heapify(snake_case			,   0			,   snake_case			)
						return unsorted


if __name__ == "__main__":
				lowercase__				:				Any						=      input("Enter numbers separated by a comma:\n").strip()
				lowercase__				:				Any						=      [int(item) for item in user_input.split(",")]
				print(heap_sort(unsorted))





"""simple docstring"""




def 				__a       (			_lowercase							, _lowercase						):







					"""simple docstring"""





					if not root or root not in binary_tree_mirror_dictionary:
										return
					lowerCamelCase__				,						lowerCamelCase__		:   Tuple  				=					binary_tree_mirror_dictionary[root][:2]
					lowerCamelCase__		:   Optional[Any]  				=					[right_child, left_child]
					binary_tree_mirror_dict(_lowercase							, _lowercase						)
					binary_tree_mirror_dict(_lowercase							, _lowercase						)



def 				__a       (			_lowercase							, _lowercase = 1						):







					"""simple docstring"""





					if not binary_tree:
										raise ValueError('''binary tree cannot be empty'''						)
					if root not in binary_tree:
										lowerCamelCase__		:   Dict  				=					f"""root {root} is not present in the binary_tree"""
										raise ValueError(_lowercase						)
					lowerCamelCase__		:   Optional[Any]  				=					dict(_lowercase						)
					binary_tree_mirror_dict(_lowercase							, _lowercase						)
					return binary_tree_mirror_dictionary


if __name__ == "__main__":
					UpperCAmelCase       :    Any									=			{1: [2, 3], 2: [4, 5], 3: [6, 7], 7: [8, 9]}
					print(f'''Binary tree: {binary_tree}''')
					UpperCAmelCase       :    List[Any]									=			binary_tree_mirror(binary_tree, 5)
					print(f'''Binary tree mirror: {binary_tree_mirror_dictionary}''')






