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Grokking the Coding Interview Patterns in C#

Solution: Rectangle Area

Explore how to calculate the total covered area of two axis-aligned rectangles on a 2D plane by identifying and subtracting the overlapping region. Learn to apply geometric reasoning and efficient arithmetic operations to solve this problem clearly and confidently.

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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). ...