




"""simple docstring"""







from __future__ import annotations

from collections.abc import Iterable, Iterator
from typing import Any, Generic, TypeVar

a					=							TypeVar('T', bound=bool)






class  SCREAMING_SNAKE_CASE__   (   Generic[T]   ):


						def __init__(							self			:     Union[str, Any]  ,  lowerCAmelCase			:     T   ):
										lowerCAmelCase		=			value
										lowerCAmelCase		=			None
										lowerCAmelCase		=			None


						@property
						def 					__lowercase	(							self			:     str   ):
										return self._value




						@staticmethod
						def 					__lowercase	(							lowerCAmelCase			:     SkewNode[T] | None  ,  lowerCAmelCase			:     SkewNode[T] | None   ):
										if not roota:
														return roota

										if not roota:
														return roota

										if roota.value > roota.value:
														lowerCAmelCase	,  lowerCAmelCase		=			roota, roota

										lowerCAmelCase		=			roota
										lowerCAmelCase		=			roota.right
										lowerCAmelCase		=			roota.left
										lowerCAmelCase		=			SkewNode.merge(lowerCAmelCase  ,  lowerCAmelCase   )

										return result






class  SCREAMING_SNAKE_CASE__   (   Generic[T]   ):


						def __init__(							self			:     Optional[Any]  ,  lowerCAmelCase			:     Iterable[T] | None = ()   ):
										lowerCAmelCase		=			None
										if data:
														for item in data:
																		self.insert(lowerCAmelCase   )


						def __bool__(							self			:     List[str]   ):
										return self._root is not None


						def __iter__(							self			:     int   ):
										lowerCAmelCase		=			[]
										while self:
														result.append(self.pop()   )

										# Pushing items back to the heap not to clear it.
										for item in result:
														self.insert(lowerCAmelCase   )

										return iter(lowerCAmelCase   )


						def 					__lowercase	(							self			:     List[str]  ,  lowerCAmelCase			:     T   ):
										lowerCAmelCase		=			SkewNode.merge(self._root  ,  SkewNode(lowerCAmelCase   )   )


						def 					__lowercase	(							self			:     Optional[Any]   ):
										lowerCAmelCase		=			self.top()
										lowerCAmelCase		=			(
										    SkewNode.merge(self._root.left  ,  self._root.right   ) if self._root else None
										)

										return result


						def 					__lowercase	(							self			:     str   ):
										if not self._root:
														raise IndexError("""Can't get top element for the empty heap."""   )
										return self._root.value




						def 					__lowercase	(							self			:     Union[str, Any]   ):
										lowerCAmelCase		=			None


if __name__ == "__main__":
		import doctest

		doctest.testmod()











"""simple docstring"""







def 							lowercase   (snake_case__				:	list	)       ->					bool:


				'''simple docstring'''






				if not isinstance(snake_case__ ,    snake_case__	):
								raise ValueError("""Input series is not valid, valid series - [2, 4, 8]"""	)
				if len(snake_case__	) == 0:
								raise ValueError("""Input list must be a non empty list"""	)
				if len(snake_case__	) == 1:
								return True
				try:
								lowerCAmelCase		=			series[1] / series[0]
								for index in range(len(snake_case__	) - 1	):
												if series[index + 1] / series[index] != common_ratio:
																return False
				except ZeroDivisionError:
								return False
				return True





def 							lowercase   (snake_case__				:	list	)       ->					float:


				'''simple docstring'''






				if not isinstance(snake_case__ ,    snake_case__	):
								raise ValueError("""Input series is not valid, valid series - [2, 4, 8]"""	)
				if len(snake_case__	) == 0:
								raise ValueError("""Input list must be a non empty list"""	)
				lowerCAmelCase		=			1
				for value in series:
								answer *= value
				return pow(snake_case__ ,    1 / len(snake_case__	)	)


if __name__ == "__main__":
		import doctest

		doctest.testmod()





