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.
class Solution { public int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) { int area = (C - A) * (D - B) + (G - E) * (H - F); if(C < E || G < A || D < F || B > H) return area; int overlap = (Math.min(C, G) - Math.max(A, E)) * (Math.min(D, H) - Math.max(B, F)); return area - overlap; } }
相交部分,长由 俩长方形右侧取小值 - 左侧取大值 得到
宽由 俩长方形上侧去小值 - 下侧取大值 得到。