code: 
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  def 				UpperCamelCase	(  snake_case	,     snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     SCREAMING_SNAKE_CASE__			:				Optional[Any]       						= []
     SCREAMING_SNAKE_CASE__			:				str       						= len(snake_case   )
     for i in range(snake_case   ):
        SCREAMING_SNAKE_CASE__			:				Optional[Any]       						= []
        for j in range(snake_case   ):
           SCREAMING_SNAKE_CASE__			:				Optional[int]       						= 0
           for k in range(snake_case   ):
              SCREAMING_SNAKE_CASE__			:				str       						= val + matrix_a[i][k] * matrix_b[k][j]
           list_a.append(snake_case   )
        matrix_c.append(snake_case   )
     return matrix_c
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     return [[int(row == column   ) for column in range(snake_case   )] for row in range(snake_case   )]
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     if n <= 1:
        return n
     SCREAMING_SNAKE_CASE__			:				Optional[Any]       						= identity(2   )
     SCREAMING_SNAKE_CASE__			:				Any       						= [[1, 1], [1, 0]]
     SCREAMING_SNAKE_CASE__			:				Union[str, Any]       						= n - 1
     while n > 0:
        if n % 2 == 1:
           SCREAMING_SNAKE_CASE__			:				Optional[Any]       						= multiply(snake_case	,     snake_case   )
        SCREAMING_SNAKE_CASE__			:				Optional[int]       						= multiply(snake_case	,     snake_case   )
        SCREAMING_SNAKE_CASE__			:				str       						= int(n / 2   )
     return res_matrix[0][0]
  
  
  def 				UpperCamelCase	(  snake_case   ):
  
  
  
  
     '''simple docstring'''
  
     if n <= 1:
        return n
     SCREAMING_SNAKE_CASE__			:				str       						= 0
     SCREAMING_SNAKE_CASE__			:				Tuple       						= 1
     for _ in range(2	,     n + 1   ):
        SCREAMING_SNAKE_CASE__			:				Any       						= fiba, fiba + fiba
     return fiba
  
  
  def 				UpperCamelCase	(  ):
  
  
  
  
     '''simple docstring'''
  
     for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
        SCREAMING_SNAKE_CASE__			:				List[str]       						= 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(snake_case   )} and using bruteforce is """
            f"""{nth_fibonacci_bruteforce(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()
  
  
style_context: 
  
  
  
  
  '''simple docstring'''
  
  
  
  
  
  def 				UpperCamelCase	(  snake_case = 99_80_01   ):
  
  
  
  
     '''simple docstring'''
  
     for number in range(n - 1	,     99_99	,     -1   ):
        SCREAMING_SNAKE_CASE__			:				int       						= str(snake_case   )
  
        # checks whether 'str_number' is a palindrome.
        if str_number == str_number[::-1]:
           SCREAMING_SNAKE_CASE__			:				Any       						= 9_99
  
           # if 'number' is a product of two 3-digit numbers
           # then number is the answer otherwise fetch next number.
           while divisor != 99:
              if (number % divisor == 0) and (len(str(number // divisor   )   ) == 3.0):
                 return number
              divisor -= 1
     raise ValueError('''That number is larger than our acceptable range.'''   )
  
  
  if __name__ == "__main__":
         print(F"{solution() = }")
  
  