



import torch

from transformers import AutoTokenizer







class       _snake_case				(     __snake_case ):






   '''simple docstring'''






   def __init__(    self:     Dict  ,lowerCamelCase_:     Optional[Any]							)	->      Union[str, Any]:
       UpperCAmelCase_     :       int  		=					AutoTokenizer.from_pretrained(lowerCamelCase_							)


   def       A__    (    self:     Optional[int]  ,lowerCamelCase_:     Dict							)	->      str:

       if isinstance(lowerCamelCase_  ,lowerCamelCase_							) and all(isinstance(_x  ,lowerCamelCase_							) for _x in x							):
           UpperCAmelCase_     :       Any  		=					None
           for l in x:
               UpperCAmelCase_     :       Tuple  		=					self.tokenizer(
                   lowerCamelCase_  ,padding="""max_length"""  ,max_length=384  ,truncation=lowerCamelCase_  ,return_tensors="""pt"""  ,)
               UpperCAmelCase_     :       Tuple  		=					torch.tensor([len(lowerCamelCase_							)]							)
               if d is not None:
                   for k in d.keys():
                       UpperCAmelCase_     :       List[Any]  		=					torch.cat((d[k], t[k])  ,0							)
               else:
                   UpperCAmelCase_     :       List[Any]  		=					t

           UpperCAmelCase_     :       Optional[Any]  		=					torch.tensor(self.tokenizer.convert_tokens_to_ids("""[E]"""							)							)
           UpperCAmelCase_     :       List[Any]  		=					torch.tensor(self.tokenizer.convert_tokens_to_ids("""[/E]"""							)							)

       elif isinstance(lowerCamelCase_  ,lowerCamelCase_							) and all(isinstance(_x  ,lowerCamelCase_							) for _x in x							):
           UpperCAmelCase_     :       List[Any]  		=					self.tokenizer(
               lowerCamelCase_  ,padding="""max_length"""  ,max_length=384  ,truncation=lowerCamelCase_  ,return_tensors="""pt"""  ,)

       else:
           raise Exception(
               """Type of parameter x was not recognized! Only `list of strings` for query or `list of lists of"""
               """ strings` for supports are supported."""							)

       return d






   def       A__    (    self:     Union[str, Any]  ,lowerCamelCase_:     List[str]  ,lowerCamelCase_:     Optional[int]  ,lowerCamelCase_:     Dict  ,lowerCamelCase_:     str  ,lowerCamelCase_:     int=0.7_0							)	->      Optional[int]:
       UpperCAmelCase_     :       Union[str, Any]  		=					[]
       for idx in range(len(W_query["""input_ids"""]							)							):
           UpperCAmelCase_     :       List[Any]  		=					range(p_start.shape[1]							)

           UpperCAmelCase_     :       str  		=					[]
           for start_id in start_indexes:
               for end_id in end_indexes:
                   if start_id < end_id:
                       output.append(
                           (
                               start_id,
                               end_id,
                               p_start[idx][start_id].item(),
                               p_end[idx][end_id].item(),
                           )							)

           output.sort(key=lambda lowerCamelCase_							: (tup[2] * tup[3])  ,reverse=lowerCamelCase_							)
           UpperCAmelCase_     :       str  		=					[]
           for k in range(len(lowerCamelCase_							)							):
               if output[k][2] * output[k][3] >= thresh:
                   UpperCAmelCase_		, UpperCAmelCase_     :       List[str]  		=					output[k][0], output[k][1]
                   UpperCAmelCase_     :       Dict  		=					self.tokenizer.decode(W_query["""input_ids"""][idx][c_start_pos:c_end_pos]							)
                   temp.append((decoded, output[k][2] * output[k][3])							)

           final_outputs.append(lowerCamelCase_							)

       return final_outputs





'''simple docstring'''



def 	__lowerCAmelCase       (				lowerCamelCase :    list[list[int]]					,		lowerCamelCase :    list[list[int]]       ):






	'''simple docstring'''




	__lowerCAmelCase       				=	[]
	__lowerCAmelCase       				=	len(lowerCamelCase       )
	for i in range(lowerCamelCase       ):
		__lowerCAmelCase       				=	[]
		for j in range(lowerCamelCase       ):
			__lowerCAmelCase       				=	0
			for k in range(lowerCamelCase       ):
				__lowerCAmelCase       				=	val + matrix_a[i][k] * matrix_b[k][j]
			list_a.append(lowerCamelCase       )
		matrix_c.append(lowerCamelCase       )
	return matrix_c



def 	__lowerCAmelCase       (				lowerCamelCase :    int       ):






	'''simple docstring'''




	return [[int(row == column       ) for column in range(lowerCamelCase       )] for row in range(lowerCamelCase       )]



def 	__lowerCAmelCase       (				lowerCamelCase :    int       ):






	'''simple docstring'''




	if n <= 1:
		return n
	__lowerCAmelCase       				=	identity(2       )
	__lowerCAmelCase       				=	[[1, 1], [1, 0]]
	__lowerCAmelCase       				=	n - 1
	while n > 0:
		if n % 2 == 1:
			__lowerCAmelCase       				=	multiply(lowerCamelCase					,		lowerCamelCase       )
		__lowerCAmelCase       				=	multiply(lowerCamelCase					,		lowerCamelCase       )
		__lowerCAmelCase       				=	int(n / 2       )
	return res_matrix[0][0]



def 	__lowerCAmelCase       (				lowerCamelCase :    int       ):






	'''simple docstring'''




	if n <= 1:
		return n
	__lowerCAmelCase       				=	0
	__lowerCAmelCase       				=	1
	for _ in range(2					,		n + 1       ):
		__lowerCAmelCase				,							__lowerCAmelCase       				=	fiba, fiba + fiba
	return fiba



def 	__lowerCAmelCase       (				):






	'''simple docstring'''




	for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
		__lowerCAmelCase       				=	int("".join(c for c in ordinal if c in "0123456789"       )       )  # 1000th --> 1000
		print(
		    f'''{ordinal} fibonacci number using matrix exponentiation is '''
		    f'''{nth_fibonacci_matrix(lowerCamelCase       )} and using bruteforce is '''
		    f'''{nth_fibonacci_bruteforce(lowerCamelCase       )}\n'''       )
	# from timeit import timeit
	# print(timeit("nth_fibonacci_matrix(1000000)",
	#              "from main import nth_fibonacci_matrix", number=5))
	# print(timeit("nth_fibonacci_bruteforce(1000000)",
	#              "from main import nth_fibonacci_bruteforce", number=5))
	# 2.3342058970001744
	# 57.256506615000035


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()