Point in rectangle X53379

Using the definitions

class Point:
    """attributes: x, y"""

class Rectangle:
    """attributes: width, height, corner"""

write a function

point_in_rectangle(p, r)

that returns @inside@ if a point $p$ is inside a rectangle $r$, @border@ if $p$ lies on the boundary of $r$, and @outside@ if $p$ is outside $r$. For example, the point $(50, 100)$ is inside a rectangle of width $100$, height $200$, and lower-left corner $(0, 0)$, the point $(100,200)$ lies on the boundary of the rectangle, and the point $(200, 300)$ is outside the rectangle.

Input

The input consists of several rectangles (four non-negative integer numbers: the width, the height, and the coordinates of the lower-left corner), each followed by a point (two non-negative integer numbers).

Output

For each rectangle and point, print @inside@, @border@, or @outside@ according to the point being inside, on the boundary of, or outside the rectangle.