






def 				__lowerCamelCase     (							__lowerCAmelCase							:					list					,							__lowerCAmelCase							:					list							)     ->  float:
   _validate_point(__lowerCAmelCase							)
   _validate_point(__lowerCAmelCase							)
   if len(__lowerCAmelCase							) != len(__lowerCAmelCase							):
      raise ValueError("""Both points must be in the same n-dimensional space"""							)

   return float(sum(abs(a - b							) for a, b in zip(__lowerCAmelCase					,							__lowerCAmelCase							)							)							)


def 				__lowerCamelCase     (							__lowerCAmelCase							:					list[float]							)     ->  None:
   if point:
      if isinstance(__lowerCAmelCase					,							__lowerCAmelCase							):
         for item in point:
            if not isinstance(__lowerCAmelCase					,							(int, float)							):
               __UpperCamelCase	:			Optional[Any]					=					(
                   """Expected a list of numbers as input, found """
                   f'{type(__lowerCAmelCase							).__name__}'
               )
               raise TypeError(__lowerCAmelCase							)
      else:
         __UpperCamelCase	:			Tuple					=					f'Expected a list of numbers as input, found {type(__lowerCAmelCase							).__name__}'
         raise TypeError(__lowerCAmelCase							)
   else:
      raise ValueError("""Missing an input"""							)


def 				__lowerCamelCase     (							__lowerCAmelCase							:					list					,							__lowerCAmelCase							:					list							)     ->  float:
   _validate_point(__lowerCAmelCase							)
   _validate_point(__lowerCAmelCase							)
   if len(__lowerCAmelCase							) != len(__lowerCAmelCase							):
      raise ValueError("""Both points must be in the same n-dimensional space"""							)

   return float(sum(abs(x - y							) for x, y in zip(__lowerCAmelCase					,							__lowerCAmelCase							)							)							)


if __name__ == "__main__":
       import doctest

       doctest.testmod()











from __future__ import annotations


def 				__lowerCamelCase     (							__lowerCAmelCase							:					str					,							__lowerCAmelCase							:					Tuple					,							__lowerCAmelCase							:					int					,							__lowerCAmelCase							:					Tuple							)     ->  Optional[Any]:  # noqa: E741
   while r - l > 1:
      __UpperCamelCase	:			int					=					(l + r) // 2
      if v[m] >= key:
         __UpperCamelCase	:			Dict					=					m
      else:
         __UpperCamelCase	:			Optional[Any]					=					m  # noqa: E741
   return r


def 				__lowerCamelCase     (							__lowerCAmelCase							:					list[int]							)     ->  int:
   if len(__lowerCAmelCase							) == 0:
      return 0

   __UpperCamelCase	:			Optional[Any]					=					[0] * len(__lowerCAmelCase							)
   __UpperCamelCase	:			Optional[int]					=					1

   __UpperCamelCase	:			Union[str, Any]					=					v[0]

   for i in range(1					,							len(__lowerCAmelCase							)							):
      if v[i] < tail[0]:
         __UpperCamelCase	:			Dict					=					v[i]
      elif v[i] > tail[length - 1]:
         __UpperCamelCase	:			Optional[int]					=					v[i]
         length += 1
      else:
         __UpperCamelCase	:			List[Any]					=					v[i]

   return length


if __name__ == "__main__":
       import doctest

       doctest.testmod()



