from functools import lru_cache

@lru_cache
def 	__lowerCamelCase							(				__a    : int		)      ->       int:
	if not isinstance(__a      ,							__a		):
		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							(				__a    : list      ,							__a    : int		)      ->       int:
	_lowercase   =len(__a		)
	# Find m such that F_m >= n where F_i is the i_th fibonacci number.
	_lowercase   =0
	while True:
		if fibonacci(__a		) >= len_list:
			_lowercase   =i
			break
		i += 1
	_lowercase   =0
	while fibb_k > 0:
		_lowercase   =min(
		    offset + fibonacci(fibb_k - 1		)      ,							len_list - 1		)  # Prevent out of range
		_lowercase   =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 transformers import ProcessorMixin




class    __snake_case(					__A       ):
    _A       = '''AutoFeatureExtractor'''
    _A       = '''AutoTokenizer'''
