# Problem: * Point in the Figure

The figure consists of 6 blocks with size h * h, placed as in the figure below. The lower left angle of the building is on position {0, 0}. The upper right angle of the figure is on position {2*h, 4*h}. The coordinates given in the figure are for h = 2:

Write a program that enters an integer h and the coordinates of a given point {x, y} (integers) and prints whether the point is inside the figure (inside), outside of the figure (outside) or on any of the borders of the figure (border).

## Sample Input and Output

Input Output Input Output
2
3
10
outside 2
3
1
inside
Input Output Input Output
2
2
2
border 2
6
0
border
Input Output Input Output
2
0
6
outside 15
13
55
outside
Input Output Input Output
15
29
37
inside 15
37
18
outside
Input Output Input Output
15
-4
7
outside 15
30
0
border

## Hints and Guidelines

A possible logic for solving the task (not the only correct one):

• We might split the figure into two rectangles with a common side:

• A point is outer (outside) for the figure, when it is outside both of the rectangles.
• A point is inner (inside) for the figure, if it is inside one of the rectangles (excluding their borders) or lies on their common side.
• In other case the point lies on the border of the rectangle (border).

## Implementation of the Proposed Idea

An exemplary implementation of the described idea (parts of the code are blurred with the purpose of stimulating logical thinking and solving skills):