code: 
  
  
  '''simple docstring'''
  
  
  
  
  from functools import lru_cache
  
  
  
  
  
  @lru_cache
  def 							a_       (						lowercase    )			->int:
  
  
  
  
  
  
  				'''simple docstring'''
  
  				if not isinstance(lowercase							,						lowercase    ):
  								raise TypeError("k must be an integer."    )
  				if k < 0:
  								raise ValueError("k integer must be greater or equal to zero."    )
  				if k == 0:
  								return 0
  				elif k == 1:
  								return 1
  				else:
  								return fibonacci(k - 1    ) + fibonacci(k - 2    )
  
  
  
  
  
  def 							a_       (						lowercase							,						lowercase    )			->int:
  
  
  
  
  
  
  				'''simple docstring'''
  
  				__lowerCamelCase		:      Tuple											=					len(lowercase    )
  				# Find m such that F_m >= n where F_i is the i_th fibonacci number.
  				__lowerCamelCase		:      Optional[Any]											=					0
  				while True:
  								if fibonacci(lowercase    ) >= len_list:
  												__lowerCamelCase		:      List[str]											=					i
  												break
  								i += 1
  				__lowerCamelCase		:      Dict											=					0
  				while fibb_k > 0:
  								__lowerCamelCase		:      List[Any]											=					min(
  								    offset + fibonacci(fibb_k - 1    )							,						len_list - 1    )  # Prevent out of range
  								__lowerCamelCase		:      List[Any]											=					arr[index_k]
  								if item_k_1 == val:
  												return index_k
  								elif val < item_k_1:
  												fibb_k -= 1
  								elif val > item_k_1:
  												offset += fibonacci(fibb_k - 1    )
  												fibb_k -= 2
  				else:
  								return -1
  
  
  if __name__ == "__main__":
  				import doctest
  
  				doctest.testmod()
  
  
  
  
  
  
style_context: 
  
  
  '''simple docstring'''
  
  
  
  
  def 							a_       (						lowercase    )			->str:
  
  
  
  
  
  
  				'''simple docstring'''
  
  				return " ".join(sorted(set(sentence.split()    )    )    )
  
  
  if __name__ == "__main__":
  				import doctest
  
  				doctest.testmod()
  
  
  
  
  
  