Problem
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.
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
class Solution {
public int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {
int a1 = (C-A)*(D-B);
int a2 = (G-E)*(H-F);
int left = Math.max(A,E);
int right = Math.min(C,G);
int top = Math.min(D,H);
int bottom = Math.max(B,F);
if (left < right && bottom < top) return a1+a2-(right-left)*(top-bottom);
else return a1+a2;
}
}
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