223 Rectangle Area

223. Rectangle Area

1. 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.

Rectangle Area

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

2. Implementation

class Solution {
    public int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {
        int sum = (C - A) * (D - B) + (G - E) * (H - F);
        int intersectionHeight = Math.min(D, H) >  Math.max(B, F) ? Math.min(D, H) - Math.max(B, F) : 0;
        int intersectionWidth = Math.min(C, G) > Math.max(A, E) ? Math.min(C, G) - Math.max(A, E) : 0;
        return sum - intersectionHeight * intersectionWidth;
    }
}

3. Time & Space Complexity

时间复杂度: O(1), 空间复杂度: O(1)