CustomCC0-1.0#cp0061400
Range Minimum with Dynamic Insertions
Summary
- •Phase 4 / stack, segment tree, deque
- •Reasoning-first competitive programming drill
Problem Description
Support two operations on an empty array: 1) Insert a value at the end; 2) Query the minimum in the last k inserted elements.
How to read this problem in plain language:
- This is a Phase 4 reasoning drill focused on stack, segment tree, deque.
- Typical lenses to test first: stack, RMQ, deque.
- Constraints reminder: 1 ≤ 1 ≤ 1 ≤ size
Mini examples for mental simulation:
1) Boundary example: Describe why this case is tricky. Explain expected behavior and why naive logic may fail.
2) Adversarial example: Adversarial case where naive greedy/local decision looks correct but fails globally.
Lite-mode writing target:
- Write 1~2 observations that shrink the search space.
- Name one final algorithm and state target complexity explicitly.
- Validate with at least 2 edge cases and one hand simulation.
Constraints
- •1 ≤ 1 ≤ 1 ≤ size
Analysis
Key Insight
Use this hint to refine your reasoning. This step should reduce search space or formalize correctness. State why this insight changes your algorithm choice.
stackRMQdequedata structure