Solution: Rectangle Area
Explore how to compute the total area covered by two axis-aligned rectangles on a 2D plane. Understand how to calculate individual areas, determine overlap through coordinate comparisons, and subtract overlapping regions to avoid double counting. This lesson provides a step-by-step method with a constant time solution, enhancing your ability to solve geometric coding interview problems efficiently.
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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). ...