





"""simple docstring"""


def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						_validate_point(SCREAMING_SNAKE_CASE     )
						_validate_point(SCREAMING_SNAKE_CASE     )
						if len(SCREAMING_SNAKE_CASE     ) != len(SCREAMING_SNAKE_CASE     ):
												raise ValueError("""Both points must be in the same n-dimensional space"""     )

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

def      UpperCamelCase							(SCREAMING_SNAKE_CASE     ):
						if point:
												if isinstance(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
																		for item in point:
																								if not isinstance(SCREAMING_SNAKE_CASE							,     (int, float)     ):
																														UpperCamelCase				:		List[Any]				   =			(
																														    """Expected a list of numbers as input, found """
																														    f"""{type(SCREAMING_SNAKE_CASE     ).__name__}"""
																														)
																														raise TypeError(SCREAMING_SNAKE_CASE     )
												else:
																		UpperCamelCase				:		List[Any]				   =			f"""Expected a list of numbers as input, found {type(SCREAMING_SNAKE_CASE     ).__name__}"""
																		raise TypeError(SCREAMING_SNAKE_CASE     )
						else:
												raise ValueError("""Missing an input"""     )

def      UpperCamelCase							(SCREAMING_SNAKE_CASE							,     SCREAMING_SNAKE_CASE     ):
						_validate_point(SCREAMING_SNAKE_CASE     )
						_validate_point(SCREAMING_SNAKE_CASE     )
						if len(SCREAMING_SNAKE_CASE     ) != len(SCREAMING_SNAKE_CASE     ):
												raise ValueError("""Both points must be in the same n-dimensional space"""     )

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


if __name__ == "__main__":
		import doctest

		doctest.testmod()




def 		snake_case__	(		lowercase					):
   lowerCAmelCase_:							Union[str, Any]       =	[1]

   lowerCAmelCase_  ,	lowerCAmelCase_  ,	lowerCAmelCase_:							int       =	0, 0, 0
   lowerCAmelCase_:							Union[str, Any]       =	ugly_nums[ia] * 2
   lowerCAmelCase_:							str       =	ugly_nums[ia] * 3
   lowerCAmelCase_:							Dict       =	ugly_nums[ia] * 5

   for _ in range(1							,				lowercase					):
      lowerCAmelCase_:							Any       =	min(lowercase							,				lowercase							,				lowercase					)
      ugly_nums.append(lowercase					)
      if next_num == next_a:
         ia += 1
         lowerCAmelCase_:							str       =	ugly_nums[ia] * 2
      if next_num == next_a:
         ia += 1
         lowerCAmelCase_:							Optional[int]       =	ugly_nums[ia] * 3
      if next_num == next_a:
         ia += 1
         lowerCAmelCase_:							int       =	ugly_nums[ia] * 5
   return ugly_nums[-1]


if __name__ == "__main__":
 from doctest import testmod

 testmod(verbose=True)
 print(f'''{ugly_numbers(2_0_0) = }''')