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Solution: Rectangle Area

Understand how to calculate the total area covered by two axis-aligned rectangles by identifying their individual areas and subtracting any overlapping region. This lesson guides you through finding rectangle boundaries, determining overlap dimensions, and applying constant time complexity arithmetic for an efficient solution.

Statement

You are given the coordinates of two axis-aligned rectangles in a 2D plane. Your task is to calculate the total area covered by both rectangles.

  • The first rectangle is specified by the coordinates of its bottom-left corner (ax1, ay1) and top-right corner (ay1, ay2).

  • Similarly, the second rectangle is defined by its bottom-left corner (bx1, by1) and top-right corner (bx2, by2). ...