

'''simple docstring'''






from functools import lru_cache


@lru_cache
def 					__lowerCamelCase			(      SCREAMING_SNAKE_CASE_     :	int    )							->   int:
      """simple docstring"""

      if not isinstance(SCREAMING_SNAKE_CASE_  ,  SCREAMING_SNAKE_CASE_    ):
            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 					__lowerCamelCase			(      SCREAMING_SNAKE_CASE_     :	list  ,  SCREAMING_SNAKE_CASE_     :	int    )							->   int:
      """simple docstring"""

      SCREAMING_SNAKE_CASE_      :			Dict     =       len(SCREAMING_SNAKE_CASE_    )
      # Find m such that F_m >= n where F_i is the i_th fibonacci number.
      SCREAMING_SNAKE_CASE_      :			Dict     =       0
      while True:
            if fibonacci(SCREAMING_SNAKE_CASE_    ) >= len_list:
                  SCREAMING_SNAKE_CASE_      :			Dict     =       i
                  break
            i += 1
      SCREAMING_SNAKE_CASE_      :			Tuple     =       0
      while fibb_k > 0:
            SCREAMING_SNAKE_CASE_      :			Tuple     =       min(
                offset + fibonacci(fibb_k - 1    )  ,  len_list - 1    )  # Prevent out of range
            SCREAMING_SNAKE_CASE_      :			int     =       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()




'''simple docstring'''






from ..utils import DummyObject, requires_backends
class 	SCREAMING_SNAKE_CASE__			(				metaclass=_UpperCAmelCase      ):
    _A			    =							["torch", "transformers", "invisible_watermark"]




    def __init__(					self				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(self				,     ["torch", "transformers", "invisible_watermark"]			)




    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)







    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)






class 	SCREAMING_SNAKE_CASE__			(				metaclass=_UpperCAmelCase      ):
    _A			    =							["torch", "transformers", "invisible_watermark"]




    def __init__(					self				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(self				,     ["torch", "transformers", "invisible_watermark"]			)




    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)







    @classmethod
    def   __lowerCamelCase      (					cls				,     *lowercase__				,     **lowercase__			):






          """simple docstring"""






          requires_backends(cls				,     ["torch", "transformers", "invisible_watermark"]			)

