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Solution: Rectangle Overlap

Explore the mathematical approach to solve the rectangle overlap problem by understanding how to check for positive overlaps along the x and y axes. This lesson helps you develop the skill to reduce the 2D geometry problem into 1D interval overlaps, enabling you to determine if two axis-aligned rectangles intersect with a positive area using constant time operations.

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) ...