Rectangle Area

LeetCode Q 223 - Rectangle Area

Find the total area covered by two rectilinear rectangles in a 2D plane.

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.

Solution

Code:

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 left = Math.max(A, E);
  int right = Math.min(C, G);
  int bottom = Math.max(B, F);
  int top = Math.min(D, H);
  
  int overlap = 0;
  if (left < right && bottom < top)
    overlap = (right - left) * (top - bottom);
  
  return sum - overlap;
}