LeetCode: 223. Rectangle Area

题目描述

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:

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.

解题思路

覆盖面积 = 两个矩形的面积 - 两个矩形都覆盖的面积

AC 代码

class Solution {
public:
    int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {
        int bothCover = 0;
        if(A >= G || E >= C || B >= H || F >= D) bothCover = 0;
        else
        {
            int l = max(A, E);
            int t = min(D, H);
            int r = min(C, G);
            int b = max(B, F);     
            bothCover = (r-l)*(t-b);
        }

        return (G-E)*(H-F) + (C-A)*(D-B) - bothCover;
    }
};