# -*- coding: utf-8 -*-
from collections import namedtuple


class Coordinate(namedtuple("Coordinate", ["x", "y"])):
    def __sub__(self, other: "Coordinate"):
        return Coordinate(self.x - other.x, self.y - other.y)

    def __add__(self, other: "Coordinate"):
        return Coordinate(self.x + other.x, self.y + other.y)

    def manhattan_distance(self, other: "Coordinate"):
        return abs(self.x - other.x) + abs(self.y - other.y)

    @property
    def polarity_x(self):
        try:
            return abs(self.x) / self.x
        except ZeroDivisionError:
            return 0

    @property
    def polarity_y(self):
        try:
            return abs(self.y) / self.y
        except ZeroDivisionError:
            return 0