StackEvidence Contributing
Monotonic Deque
Maintain a double-ended queue of candidate indices in monotonic order to answer sliding-window max/min in O(1) amortized.
Practice Problems: 2
Difficulty: 0 Easy·1 Medium·1 Hard
Algorithmic Intuition & Recognition
The Monotonic Deque technique is applied when tackling problems characterized by specific invariants in the problem state or constraints:
- Core Strategy: Maintain a double-ended queue of candidate indices in monotonic order to answer sliding-window max/min in O(1) amortized.
- When to use: Look for opportunities where repeated re-computation can be replaced by maintaining monotonic properties, state windows, or relational pointers.
- Interview Signal: Demonstrating this pattern shows mastery of Stack foundations, reducing worst-case algorithmic complexity.