code: 
  
  
  
  """simple docstring"""
  
  
  
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		list[list[int]]		,						SCREAMING_SNAKE_CASE__			:		list[list[int]]       )						->     list[list[int]]:
  
  
  
  
  
       '''simple docstring'''
  
       _UpperCAmelCase    :			List[Any]              =					[]
       _UpperCAmelCase    :			Union[str, Any]              =					len(SCREAMING_SNAKE_CASE__       )
       for i in range(SCREAMING_SNAKE_CASE__       ):
            _UpperCAmelCase    :			List[str]              =					[]
            for j in range(SCREAMING_SNAKE_CASE__       ):
                 _UpperCAmelCase    :			Optional[int]              =					0
                 for k in range(SCREAMING_SNAKE_CASE__       ):
                      _UpperCAmelCase    :			Optional[int]              =					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 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int       )						->     list[list[int]]:
  
  
  
  
  
       '''simple docstring'''
  
       return [[int(row == column       ) for column in range(SCREAMING_SNAKE_CASE__       )] for row in range(SCREAMING_SNAKE_CASE__       )]
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       if n <= 1:
            return n
       _UpperCAmelCase    :			List[str]              =					identity(2       )
       _UpperCAmelCase    :			Dict              =					[[1, 1], [1, 0]]
       _UpperCAmelCase    :			str              =					n - 1
       while n > 0:
            if n % 2 == 1:
                 _UpperCAmelCase    :			List[Any]              =					multiply(SCREAMING_SNAKE_CASE__		,						SCREAMING_SNAKE_CASE__       )
            _UpperCAmelCase    :			Any              =					multiply(SCREAMING_SNAKE_CASE__		,						SCREAMING_SNAKE_CASE__       )
            _UpperCAmelCase    :			Tuple              =					int(n / 2       )
       return res_matrix[0][0]
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       if n <= 1:
            return n
       _UpperCAmelCase    :			Dict              =					0
       _UpperCAmelCase    :			List[str]              =					1
       for _ in range(2		,						n + 1       ):
            _UpperCAmelCase       , _UpperCAmelCase    :			str              =					fiba, fiba + fiba
       return fiba
  
  def 		__snake_case		(   )						->     None:
  
  
  
  
  
       '''simple docstring'''
  
       for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
            _UpperCAmelCase    :			Dict              =					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()
  
style_context: 
  
  
  
  """simple docstring"""
  
  
  
  
  import sys
  
  def 		__snake_case		(   SCREAMING_SNAKE_CASE__			:		int		,						SCREAMING_SNAKE_CASE__			:		list[int]       )						->     int:
  
  
  
  
  
       '''simple docstring'''
  
       if not numbers:
            return 0
       if target == 0 and target in numbers:
            return 0
       if not isinstance(SCREAMING_SNAKE_CASE__		,						(list, tuple)       ) or not all(
           isinstance(SCREAMING_SNAKE_CASE__		,						SCREAMING_SNAKE_CASE__       ) for number in numbers       ):
            raise ValueError("numbers must be an iterable of integers"       )
  
       _UpperCAmelCase    :			List[Any]              =					0
       _UpperCAmelCase    :			str              =					sys.maxsize
  
       while right < len(SCREAMING_SNAKE_CASE__       ):
            curr_sum += numbers[right]
            while curr_sum >= target and left <= right:
                 _UpperCAmelCase    :			Any              =					min(SCREAMING_SNAKE_CASE__		,						right - left + 1       )
                 curr_sum -= numbers[left]
                 left += 1
            right += 1
  
       return 0 if min_len == sys.maxsize else min_len
  