LeetCode-in-Java

223. Rectangle Area

Medium

Given the coordinates of two rectilinear rectangles in a 2D plane, return the total area covered by the two rectangles.

The first rectangle is defined by its bottom-left corner (ax1, ay1) and its top-right corner (ax2, ay2).

The second rectangle is defined by its bottom-left corner (bx1, by1) and its top-right corner (bx2, by2).

Example 1:

Rectangle Area

Input: ax1 = -3, ay1 = 0, ax2 = 3, ay2 = 4, bx1 = 0, by1 = -1, bx2 = 9, by2 = 2

Output: 45

Example 2:

Input: ax1 = -2, ay1 = -2, ax2 = 2, ay2 = 2, bx1 = -2, by1 = -2, bx2 = 2, by2 = 2

Output: 16

Constraints:

Solution

@SuppressWarnings("java:S107")
public class Solution {
    public int computeArea(int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) {
        long left = Math.max(ax1, bx1);
        long right = Math.min(ax2, bx2);
        long top = Math.min(ay2, by2);
        long bottom = Math.max(ay1, by1);
        long area = (right - left) * (top - bottom);
        // if not overlaping, either of these two will be non-posittive
        // if right - left = 0, are will automtically be 0 as well
        if (right - left < 0 || top - bottom < 0) {
            area = 0;
        }
        return (int) ((ax2 - ax1) * (ay2 - ay1) + (bx2 - bx1) * (by2 - by1) - area);
    }
}