






def 			lowerCAmelCase_  (						_lowercase       :     Optional[int]		,     _lowercase       :     Optional[int]		,     _lowercase       :     Dict)							-> Any:







			"""simple docstring"""
			a__     :		List[Any]		 =						index
			a__     :		Union[str, Any]		 =						2 * index + 1
			a__     :		Union[str, Any]		 =						2 * index + 2
			if left_index < heap_size and unsorted[left_index] > unsorted[largest]:
						a__     :		Optional[Any]		 =						left_index

			if right_index < heap_size and unsorted[right_index] > unsorted[largest]:
						a__     :		Optional[Any]		 =						right_index

			if largest != index:
						a__     :		Dict		 =						unsorted[index], unsorted[largest]
						heapify(_lowercase		,     _lowercase		,     _lowercase)

def 			lowerCAmelCase_  (						_lowercase       :     str)							-> Any:







			"""simple docstring"""
			a__     :		Union[str, Any]		 =						len(_lowercase)
			for i in range(n // 2 - 1		,     -1		,     -1):
						heapify(_lowercase		,     _lowercase		,     _lowercase)
			for i in range(n - 1		,     0		,     -1):
						a__     :		Tuple		 =						unsorted[i], unsorted[0]
						heapify(_lowercase		,     0		,     _lowercase)
			return unsorted


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









def 			lowerCAmelCase_  (						_lowercase       :     list)							-> bool:







			"""simple docstring"""
			if not isinstance(_lowercase		,     _lowercase):
						raise ValueError("""Input series is not valid, valid series - [1, 2/3, 2]""")
			if len(_lowercase) == 0:
						raise ValueError("""Input list must be a non empty list""")
			if len(_lowercase) == 1 and series[0] != 0:
						return True
			a__     :		Tuple		 =						[]
			a__     :		Union[str, Any]		 =						len(_lowercase)
			for i in range(0		,     _lowercase):
						if series[i] == 0:
									raise ValueError("""Input series cannot have 0 as an element""")
						rec_series.append(1 / series[i])
			a__     :		Dict		 =						rec_series[1] - rec_series[0]
			for index in range(2		,     _lowercase):
						if rec_series[index] - rec_series[index - 1] != common_diff:
									return False
			return True

def 			lowerCAmelCase_  (						_lowercase       :     list)							-> float:







			"""simple docstring"""
			if not isinstance(_lowercase		,     _lowercase):
						raise ValueError("""Input series is not valid, valid series - [2, 4, 6]""")
			if len(_lowercase) == 0:
						raise ValueError("""Input list must be a non empty list""")
			a__     :		Optional[Any]		 =						0
			for val in series:
						answer += 1 / val
			return len(_lowercase) / answer


if __name__ == "__main__":
		import doctest

		doctest.testmod()




