





'''simple docstring'''

from ..utils import DummyObject, requires_backends





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	Any       					=				["""flax"""]







  def __init__(		self     ,     *lowercase__     ,     **lowercase__		)		->						Optional[int]:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Dict:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						List[str]:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	Union[str, Any]       					=				["""flax"""]







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






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Dict:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Dict:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	Optional[Any]       					=				["""flax"""]







  def __init__(		self     ,     *lowercase__     ,     **lowercase__		)		->						Union[str, Any]:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Dict:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Dict:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	List[str]       					=				["""flax"""]







  def __init__(		self     ,     *lowercase__     ,     **lowercase__		)		->						Any:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Tuple:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Tuple:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	List[str]       					=				["""flax"""]







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






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						List[Any]:






        """simple docstring"""





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







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






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	str       					=				["""flax"""]







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






        """simple docstring"""





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







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






        """simple docstring"""





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







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






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	Any       					=				["""flax"""]







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






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Any:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Tuple:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	Optional[Any]       					=				["""flax"""]







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






        """simple docstring"""





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







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






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Tuple:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	Dict       					=				["""flax"""]







  def __init__(		self     ,     *lowercase__     ,     **lowercase__		)		->						Any:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Any:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Tuple:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	List[Any]       					=				["""flax"""]







  def __init__(		self     ,     *lowercase__     ,     **lowercase__		)		->						Optional[int]:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Optional[Any]:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Any:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	Any       					=				["""flax"""]







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






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Any:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Optional[int]:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	List[str]       					=				["""flax"""]







  def __init__(		self     ,     *lowercase__     ,     **lowercase__		)		->						Any:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						int:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						int:






        """simple docstring"""





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





class lowerCamelCase						(metaclass=a__					):
  _lowercase  :	int       					=				["""flax"""]







  def __init__(		self     ,     *lowercase__     ,     **lowercase__		)		->						Union[str, Any]:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						Optional[int]:






        """simple docstring"""





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







  @classmethod
  def 				UpperCAmelCase_				(		cls     ,     *lowercase__     ,     **lowercase__		)		->						List[str]:






        """simple docstring"""





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









'''simple docstring'''

from __future__ import annotations




def    _a    (							lowerCAmelCase_			,      lowerCAmelCase_ = None			,      lowerCAmelCase_ = None	):





      """simple docstring"""



      if start is None:
            _snake_case		:	Optional[Any]					     =     0

      if end is None:
            _snake_case		:	Any					     =     len(lowerCAmelCase_	) - 1

      if start >= end:
            return

      _snake_case		:	Optional[Any]					     =     (start + end) // 2

      slowsort(lowerCAmelCase_			,      lowerCAmelCase_			,      lowerCAmelCase_	)
      slowsort(lowerCAmelCase_			,      mid + 1			,      lowerCAmelCase_	)

      if sequence[end] < sequence[mid]:
            _snake_case     ,							_snake_case		:	int					     =     sequence[mid], sequence[end]

      slowsort(lowerCAmelCase_			,      lowerCAmelCase_			,      end - 1	)


if __name__ == "__main__":
   from doctest import testmod

   testmod()


