223. Rectangle Area

Description

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 (See example).

Note:

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

Constraints

Approach

Links

• GeeksforGeeks

• Leetcode

• ProgramCreek

• YouTube

Examples

Example 1

Input: A = -3, B = 0, C = 3, D = 4, E = 0, F = -1, G = 9, H = 2

Output: 45

Solutions

Solution 1

/**
 * Time complexity : 
 * Space complexity : 
 */

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

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