← Capital One Interview Insights
Use a balanced binary search tree (e.g., TreeSet in Java) to store wall indices, allowing O(log n) insertions and range queries via floor/ceiling operations. For each query, check if the smallest wall index >= L is <= R; if so, output 1, else 0. This efficiently handles dynamic updates and range existence checks.
Pro tip: Mention that a Fenwick tree with binary search can also solve this in O(log n) per operation, but a TreeSet is simpler and less error-prone in an interview. Always clarify the expected number of operations and whether indices are bounded to choose the optimal data structure.
Ask about the number of operations, index range, and whether walls can be placed at the same index multiple times. This determines if a simple set or a more complex structure is needed.
Select a balanced BST (like TreeSet) to maintain sorted wall indices, enabling O(log n) insertions and efficient range queries. Alternatively, consider a Fenwick tree if indices are bounded and updates are frequent.
For each wall placement operation, insert the index into the data structure. If using a set, duplicates are automatically ignored.
For a query [L, R], find the smallest wall index >= L (using ceiling). If it exists and is <= R, output 1; otherwise, output 0.
Collect the outputs for each query in a list and return it after processing all operations.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.