Problem: Rectangle Area

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.

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

Solution

TODO

Code

public class Solution {
  public int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {

    int totalArea = (C - A) * (D - B) + (G - E) * (H - F);

    if(Math.min(C, G)<=Math.max(A, E)) 
      return totalArea;

    int width = Math.min(C, G) - Math.max(A, E);

    if(Math.min(D, H)<=Math.max(B,F)) 
      return totalArea;

    int hight = Math.min(D, H) - Math.max(B,F);

    return totalArea - width * hight;
  }
}

Performance