

"""simple docstring"""






def 	lowercase      (   __UpperCamelCase      ,   __UpperCamelCase						) ->      float:
 _validate_point(__UpperCamelCase						)
 _validate_point(__UpperCamelCase						)
 if len(__UpperCamelCase						) != len(__UpperCamelCase						):
  raise ValueError('''Both points must be in the same n-dimensional space'''						)

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





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





def 	lowercase      (   __UpperCamelCase      ,   __UpperCamelCase						) ->      float:
 _validate_point(__UpperCamelCase						)
 _validate_point(__UpperCamelCase						)
 if len(__UpperCamelCase						) != len(__UpperCamelCase						):
  raise ValueError('''Both points must be in the same n-dimensional space'''						)

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


if __name__ == "__main__":
 import doctest

 doctest.testmod()




"""simple docstring"""






class        _lowercase					:







     def __init__(      self ,						UpperCamelCase_       ):
      __magic_name__     =      size
      __magic_name__     =      [0] * size
      __magic_name__     =      [0] * size







     @staticmethod
     def 	lowerCAmelCase__    (      UpperCamelCase_       ):
      return index | (index + 1)







     @staticmethod
     def 	lowerCAmelCase__    (      UpperCamelCase_       ):
      return (index & (index + 1)) - 1







     def 	lowerCAmelCase__    (      self ,						UpperCamelCase_ ,						UpperCamelCase_       ):
      __magic_name__     =      value
      while index < self.size:
       __magic_name__     =      self.get_prev(UpperCamelCase_       ) + 1
       if current_left_border == index:
        __magic_name__     =      value
       else:
        __magic_name__     =      max(UpperCamelCase_ ,						UpperCamelCase_ ,						UpperCamelCase_       )
       __magic_name__     =      self.get_next(UpperCamelCase_       )







     def 	lowerCAmelCase__    (      self ,						UpperCamelCase_ ,						UpperCamelCase_       ):
      right -= 1  # Because of right is exclusive
      __magic_name__     =      0
      while left <= right:
       __magic_name__     =      self.get_prev(UpperCamelCase_       )
       if left <= current_left:
        __magic_name__     =      max(UpperCamelCase_ ,						self.tree[right]       )
        __magic_name__     =      current_left
       else:
        __magic_name__     =      max(UpperCamelCase_ ,						self.arr[right]       )
        right -= 1
      return result


if __name__ == "__main__":
 import doctest

 doctest.testmod()

