




import math
from decimal import Decimal, getcontext
def        lowerCamelCase_     (     SCREAMING_SNAKE_CASE = 4_00_00_00 ):
			'''simple docstring'''

			try:
						SCREAMING_SNAKE_CASE     =       int(snake_case_ )
			except (TypeError, ValueError):
						raise TypeError("""Parameter n must be int or castable to int.""" )
			if n <= 0:
						raise ValueError("""Parameter n must be greater than or equal to one.""" )
			SCREAMING_SNAKE_CASE     =       1_00
			SCREAMING_SNAKE_CASE     =       (Decimal(5 ) ** Decimal(0.5 ) + 1) / Decimal(2 )

			SCREAMING_SNAKE_CASE     =       (math.floor(math.log(n * (phi + 2)       ,						snake_case_ ) - 1 ) // 3) * 3 + 2
			SCREAMING_SNAKE_CASE     =       Decimal(round(phi ** Decimal(index + 1 ) ) ) / (phi + 2)
			SCREAMING_SNAKE_CASE     =       num // 2
			return int(snake_case_ )


if __name__ == "__main__":
		print(f'''{solution() = }''')













from ..utils import DummyObject, requires_backends



class  SCREAMING_SNAKE_CASE_  ( metaclass=SCREAMING_SNAKE_CASE__			):


  """simple docstring"""





  _a								=							["""torch""", """transformers""", """k_diffusion"""]





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





       '''simple docstring'''







       requires_backends(self	,  ['''torch''', '''transformers''', '''k_diffusion''']						)





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





       '''simple docstring'''







       requires_backends(cls	,  ['''torch''', '''transformers''', '''k_diffusion''']						)







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





       '''simple docstring'''







       requires_backends(cls	,  ['''torch''', '''transformers''', '''k_diffusion''']						)