# Question

Find the total area covered by two rectilinear rectangles in a 2D plane.

Each rectangle is defined by its bottom left corner and top right corner as shown in the figure.

Example:

```
Input: A = -3, B = 0, C = 3, D = 4, E = 0, F = -1, G = 9, H = 2
Output: 45
```

Note:

Assume that the total area is never beyond the maximum possible value of int.

# Solution

```
class Solution(object):
def computeArea(self, A, B, C, D, E, F, G, H):
"""
:type A: int
:type B: int
:type C: int
:type D: int
:type E: int
:type F: int
:type G: int
:type H: int
:rtype: int
"""
if A < E < C < G:
horizontal = C - E
elif E < A < G < C:
horizontal = G - A
elif E >= A and C >= G:
horizontal = G - E
elif A >= E and G >= C:
horizontal = C - A
else:
horizontal = 0
if B < F < D < H:
vertical = D - F
elif F < B < H < D:
vertical = H - B
elif F >= B and D >= H:
vertical = H - F
elif B >= F and H >= D:
vertical = D - B
else:
vertical = 0
return (C - A) * (D - B) + (G - E) * (H - F) - horizontal * vertical
```