223. Rectangle Area[M]

https://leetcode.com/problems/rectangle-area/

Description

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.

Rectangle Area

Example:

1
2
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

1
2
3
4
5
6
7
8
9
10
11
class Solution:
    def computeArea(self, A: int, B: int, C: int, D: int, E: int, F: int, G: int, H: int) -> int:
        result = (C - A) * (D - B) + (G - E) * (H - F)
        # no overlap
        if (C <= E or G <= A or H <= B or D <= F):
            return result
        # overlap length on x
        dx = min(C, G) - max(A, E)
        # overlap length on y
        dy = min(D, H) - max(B, F)
        return result - dx * dy