题目

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.

image.png

Example:

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

Note:

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


题意

计算两个矩形一共占据的面积。

思路

所求结果为总面积和减去重叠部分面积。


代码实现

Java

  1. class Solution {
  2. public int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {
  3. int S = (C - A) * (D - B) + (G - E) * (H - F);
  4. if (C >= E && G >= A && D >= F && H >= B) {
  5. int length = (C - A + G - E) - (Math.max(C, G) - Math.min(A, E));
  6. int width = (D - B + H - F) - (Math.max(D, H) - Math.min(B, F));
  7. S -= length * width;
  8. }
  9. return S;
  10. }
  11. }