How do you detect overlapping rectangles in a set?
This problem requires checking intersection conditions between multiple rectangles. It tests logic and geometric constraints.
Why Interviewers Ask This
Interviewers ask this to test spatial reasoning and the ability to formulate conditions for intersection. It checks if candidates can break down the problem into coordinate comparisons. It also evaluates optimization strategies for large sets.
How to Answer This Question
Explain that two rectangles overlap if they intersect in both X and Y dimensions. Define the condition: max(left1, left2) < min(right1, right2) and similarly for Y. Iterate through pairs to check this condition. Discuss complexity O(n^2) for naive approach.
Key Points to Cover
- Axis projection check
- Coordinate comparison
- Pairwise iteration
- Optimization options
Sample Answer
Two rectangles overlap if their projections on both the X and Y axes overlap. For the X-axis, the maximum of the left coordinates must be less than the minimum of the right coordinates. Similarly for the Y-axis. I can it…
Common Mistakes to Avoid
- Checking only corners
- Incorrect inequality direction
- Ignoring edge cases
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