'''simple docstring'''




def 						__snake_case (       lowerCAmelCase       :     list[list[int]]      ,  lowerCAmelCase       :     list[list[int]]			)     ->   Tuple:
 __UpperCAmelCase         =					[]
 __UpperCAmelCase         =					len(lowerCAmelCase			)
 for i in range(lowerCAmelCase			):
  __UpperCAmelCase         =					[]
  for j in range(lowerCAmelCase			):
   __UpperCAmelCase         =					0
   for k in range(lowerCAmelCase			):
    __UpperCAmelCase         =					val + matrix_a[i][k] * matrix_b[k][j]
   list_a.append(lowerCAmelCase			)
  matrix_c.append(lowerCAmelCase			)
 return matrix_c



def 						__snake_case (       lowerCAmelCase       :     int			)     ->   List[str]:
 return [[int(row == column			) for column in range(lowerCAmelCase			)] for row in range(lowerCAmelCase			)]



def 						__snake_case (       lowerCAmelCase       :     int			)     ->   Union[str, Any]:
 if n <= 1:
  return n
 __UpperCAmelCase         =					identity(2			)
 __UpperCAmelCase         =					[[1, 1], [1, 0]]
 __UpperCAmelCase         =					n - 1
 while n > 0:
  if n % 2 == 1:
   __UpperCAmelCase         =					multiply(lowerCAmelCase      ,  lowerCAmelCase			)
  __UpperCAmelCase         =					multiply(lowerCAmelCase      ,  lowerCAmelCase			)
  __UpperCAmelCase         =					int(n / 2			)
 return res_matrix[0][0]



def 						__snake_case (       lowerCAmelCase       :     int			)     ->   List[Any]:
 if n <= 1:
  return n
 __UpperCAmelCase         =					0
 __UpperCAmelCase         =					1
 for _ in range(2      ,  n + 1			):
  __UpperCAmelCase  ,			__UpperCAmelCase         =					fiba, fiba + fiba
 return fiba



def 						__snake_case (       )     ->   List[str]:
 for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
  __UpperCAmelCase         =					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()




'''simple docstring'''




import unittest
from pathlib import Path

from transformers import is_vision_available, load_tool
from transformers.testing_utils import get_tests_dir

from .test_tools_common import ToolTesterMixin


if is_vision_available():
     from PIL import Image

class   _lowercase(     unittest.TestCase   ,_lowerCamelCase				):



   """simple docstring"""





   def 			snake_case	(							self:    Optional[int]	):
    __UpperCAmelCase         =					load_tool('image-captioning'	)
    self.tool.setup()
    __UpperCAmelCase         =					load_tool('image-captioning'			,remote=a	)





   def 			snake_case	(							self:    List[Any]	):
    __UpperCAmelCase         =					Image.open(Path(get_tests_dir('fixtures/tests_samples/COCO'	)	) / '000000039769.png'	)
    __UpperCAmelCase         =					self.tool(a	)
    self.assertEqual(a			,'two cats sleeping on a couch'	)





   def 			snake_case	(							self:    List[Any]	):
    __UpperCAmelCase         =					Image.open(Path(get_tests_dir('fixtures/tests_samples/COCO'	)	) / '000000039769.png'	)
    __UpperCAmelCase         =					self.remote_tool(a	)
    self.assertEqual(a			,'two cats sleeping on a couch'	)





   def 			snake_case	(							self:    Optional[Any]	):
    __UpperCAmelCase         =					Image.open(Path(get_tests_dir('fixtures/tests_samples/COCO'	)	) / '000000039769.png'	)
    __UpperCAmelCase         =					self.tool(image=a	)
    self.assertEqual(a			,'two cats sleeping on a couch'	)





   def 			snake_case	(							self:    Tuple	):
    __UpperCAmelCase         =					Image.open(Path(get_tests_dir('fixtures/tests_samples/COCO'	)	) / '000000039769.png'	)
    __UpperCAmelCase         =					self.remote_tool(image=a	)
    self.assertEqual(a			,'two cats sleeping on a couch'	)



