How do you arrange buildings to ensure a clear view of the sea?
This problem involves finding visible elements in an array based on height constraints, testing stack-based solutions.
Why Interviewers Ask This
It tests your ability to optimize for time complexity while maintaining logical correctness. The problem is a variation of the 'next greater element' pattern, common in technical interviews.
How to Answer This Question
Iterate through the array from right to left. Maintain a variable for the maximum height seen so far. If a building is taller than the max, it has a view. Update the max height. This ensures O(n) time complexity.
Key Points to Cover
- Right-to-left iteration
- Tracking maximum height
- O(n) time complexity
- View definition logic
Sample Answer
I iterate through the building heights from right to left, assuming the sea is on the right. I keep track of the maximum height encountered so far. If the current building's height is greater than this maximum, it has a clear view. I update the maximum height to include this building. This approach ensures every building is checked exactly once.
Common Mistakes to Avoid
- Using nested loops (O(n^2))
- Incorrect direction of iteration
- Failing to update max height
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