


def 			__lowerCAmelCase       (SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )->    list[list[int]]:




      """simple docstring"""

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






def 			__lowerCAmelCase       (SCREAMING_SNAKE_CASE   )->    list[list[int]]:




      """simple docstring"""

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






def 			__lowerCAmelCase       (SCREAMING_SNAKE_CASE   )->    int:




      """simple docstring"""

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






def 			__lowerCAmelCase       (SCREAMING_SNAKE_CASE   )->    int:




      """simple docstring"""

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






def 			__lowerCAmelCase       ()->    None:




      """simple docstring"""

      for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
            snake_case_			= 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(SCREAMING_SNAKE_CASE   )} and using bruteforce is '''
                f'''{nth_fibonacci_bruteforce(SCREAMING_SNAKE_CASE   )}\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()



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 lowerCAmelCase_		(					unittest.TestCase   ,		lowerCamelCase__			):

 '''simple docstring'''

 def 		UpperCamelCase__	(      self   ):
       snake_case_			= load_tool('''image-question-answering'''   )
       self.tool.setup()
       snake_case_			= load_tool('''image-question-answering'''						, remote=_UpperCAmelCase   )



 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.tool(_UpperCAmelCase						, '''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )



 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.remote_tool(_UpperCAmelCase						, '''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )



 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.tool(image=_UpperCAmelCase						, question='''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )





 def 		UpperCamelCase__	(      self   ):
       snake_case_			= Image.open(Path(get_tests_dir('''fixtures/tests_samples/COCO'''   )   ) / '''000000039769.png'''   )
       snake_case_			= self.remote_tool(image=_UpperCAmelCase						, question='''How many cats are sleeping on the couch?'''   )
       self.assertEqual(_UpperCAmelCase						, '''2'''   )