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Solution: Rectangle Overlap

Explore how to determine if two axis-aligned rectangles overlap by reducing the problem to comparing one-dimensional intervals on the x and y axes. Understand the geometric conditions for positive area overlap and learn a constant time method to check these conditions.

Statement

An axis-aligned rectangle is represented by a list [x1,y1,x2,y2][x_1, y_1, x_2, y_2], where:

  • (x1,y1)(x_1, y_1) ...