

from hashlib import mda, shaaaa

lowerCamelCase     =      (shaaaa, mda)







class 		__magic_name__    :



   def __init__(       self,					lowercase_ = 8 )							->					None:






     """simple docstring"""






     a__						=0b0
     a__						=size



   def 				_UpperCAmelCase				(       self,					lowercase_ )							->					None:






     """simple docstring"""






     a__						=self.hash_(lowercase_ )
     self.bitarray |= h



   def 				_UpperCAmelCase				(       self,					lowercase_ )							->					bool:






     """simple docstring"""






     a__						=self.hash_(lowercase_ )
     return (h & self.bitarray) == h



   def __contains__(       self,					lowercase_ )							->					bool:






     """simple docstring"""






     return self.exists(lowercase_ )



   def 				_UpperCAmelCase				(       self,					lowercase_ )							->					str:






     """simple docstring"""






     a__						=bin(lowercase_ )[2:]
     return res.zfill(self.size )



   @property
   def 				_UpperCAmelCase				(       self )							->					str:






     """simple docstring"""






     return self.format_bin(self.bitarray )



   def 				_UpperCAmelCase				(       self,					lowercase_ )							->					int:






     """simple docstring"""






     a__						=0b0
     for func in HASH_FUNCTIONS:
       a__						=(
           int.from_bytes(func(value.encode() ).digest(),					'''little''' ) % self.size
       )
       res |= 2**position
     return res



   def 				_UpperCAmelCase				(       self,					lowercase_ )							->					str:






     """simple docstring"""






     return self.format_bin(self.hash_(lowercase_ ) )



   @property
   def 				_UpperCAmelCase				(       self )							->					float:






     """simple docstring"""






     a__						=bin(self.bitarray ).count('''1''' )
     return (n_ones / self.size) ** len(lowercase_ )



import math
from decimal import Decimal, getcontext




def     UpperCAmelCase__       (    _A   :				int = 4_00_00_00							):





  '''simple docstring'''







  try:
    a__						=int(_A							)
  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.'''							)
  a__						=1_00
  a__						=(Decimal(5							) ** Decimal(0.5							) + 1) / Decimal(2							)

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


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