code: 
  
  
  
  
  
  from hashlib import mda, shaaaa
  
  __lowerCAmelCase     =			(shaaaa, mda)
  
  
  
  
  class   _UpperCAmelCase	:
  
  
  
  
  					def __init__(						self    ,      __lowerCAmelCase = 8       )						->  None:
  							UpperCamelCase__         =	0B0
  							UpperCamelCase__         =	size
  
  
  
  
  					def 	snake_case_		(						self    ,      __lowerCAmelCase       )						->  None:
  							UpperCamelCase__         =	self.hash_(__lowerCAmelCase       )
  							self.bitarray |= h
  
  
  
  
  					def 	snake_case_		(						self    ,      __lowerCAmelCase       )						->  bool:
  							UpperCamelCase__         =	self.hash_(__lowerCAmelCase       )
  							return (h & self.bitarray) == h
  
  
  
  
  					def __contains__(						self    ,      __lowerCAmelCase       )						->  bool:
  							return self.exists(__lowerCAmelCase       )
  
  
  
  
  					def 	snake_case_		(						self    ,      __lowerCAmelCase       )						->  str:
  							UpperCamelCase__         =	bin(__lowerCAmelCase       )[2:]
  							return res.zfill(self.size       )
  
  
  
  
  					@property
  					def 	snake_case_		(						self       )						->  str:
  							return self.format_bin(self.bitarray       )
  
  
  
  
  					def 	snake_case_		(						self    ,      __lowerCAmelCase       )						->  int:
  							UpperCamelCase__         =	0B0
  							for func in HASH_FUNCTIONS:
  									UpperCamelCase__         =	(
  									    int.from_bytes(func(value.encode()       ).digest()    ,      """little"""       ) % self.size
  									)
  									res |= 2**position
  							return res
  
  
  
  
  					def 	snake_case_		(						self    ,      __lowerCAmelCase       )						->  str:
  							return self.format_bin(self.hash_(__lowerCAmelCase       )       )
  
  
  
  
  					@property
  					def 	snake_case_		(						self       )						->  float:
  							UpperCamelCase__         =	bin(self.bitarray       ).count("""1"""       )
  							return (n_ones / self.size) ** len(__lowerCAmelCase       )
  
  
  
  
  
  
style_context: 
  
  
  
  
  
  def     a						(      _lowercase   :     int ,						_lowercase   :     int       )     ->int:
  		UpperCamelCase__         =	1.0
  		for i in range(1 ,						r + 1       ):
  				ret *= (n + 1 - i) / i
  		return round(_lowercase       )
  
  def     a						(      _lowercase   :     int       )     ->int:
  		return choose(8 + n ,						_lowercase       ) + choose(9 + n ,						_lowercase       ) - 1_0
  
  def     a						(      _lowercase   :     int       )     ->int:
  		return sum(non_bouncy_exact(_lowercase       ) for i in range(1 ,						n + 1       )       )
  
  def     a						(      _lowercase   :     int = 1_0_0       )     ->int:
  		return non_bouncy_upto(_lowercase       )
  
  
  if __name__ == "__main__":
  				print(f"""{solution() = }""")
  
  
  
  
  
  