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.

clipboard.png

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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