


from __future__ import annotations






def 	__lowerCamelCase						(							lowerCamelCase__		:						list[int]      ):  # This function is recursive





			'''simple docstring'''




			lowerCamelCase    		=  len(lowerCamelCase__      )
			# If the array contains only one element, we return it (it's the stop condition of
			# recursion)
			if array_length <= 1:
						return array
						# Else
			lowerCamelCase    		=  array[0]
			lowerCamelCase    		=  False
			lowerCamelCase    		=  1
			lowerCamelCase    		=  []
			while not is_found and i < array_length:
						if array[i] < pivot:
									lowerCamelCase    		=  True
									lowerCamelCase    		=  [element for element in array[i:] if element >= array[i]]
									lowerCamelCase    		=  longest_subsequence(lowerCamelCase__      )
									if len(lowerCamelCase__      ) > len(lowerCamelCase__      ):
												lowerCamelCase    		=  temp_array
						else:
									i += 1

			lowerCamelCase    		=  [element for element in array[1:] if element >= pivot]
			lowerCamelCase    		=  [pivot, *longest_subsequence(lowerCamelCase__      )]
			if len(lowerCamelCase__      ) > len(lowerCamelCase__      ):
						return temp_array
			else:
						return longest_subseq


if __name__ == "__main__":
		import doctest

		doctest.testmod()





from ..utils import DummyObject, requires_backends







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Tuple			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> str:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> int:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> str:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Optional[Any]			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> Dict:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> List[str]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Dict:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					str			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> Dict:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Union[str, Any]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Optional[int]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					str			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> List[Any]:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Any:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Union[str, Any]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Dict			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> Optional[Any]:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Optional[Any]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Any:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Optional[int]			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> int:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> int:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> str:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Union[str, Any]			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> List[Any]:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Tuple:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Optional[int]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Optional[Any]			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> Optional[Any]:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> int:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> int:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Tuple			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> str:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> List[Any]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> str:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Any			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> List[str]:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> int:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> str:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					str			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> Dict:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Optional[int]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Dict:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Optional[int]			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> List[str]:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Any:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Any:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







class        __lowercase       (							metaclass=a_  ):



		"""simple docstring"""

		UpperCamelCase     :					Tuple			       =		["flax"]







		def __init__( self		,      *A		,      **A	)  -> str:







					'''simple docstring'''







					requires_backends(self		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Dict:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)







		@classmethod
		def 					__A   ( cls		,      *A		,      **A	)  -> Union[str, Any]:







					'''simple docstring'''







					requires_backends(cls		,      ["""flax"""]	)

