CustomCC0-1.0#cpq015-6211520
Dynamic Array Rotation Queries
Summary
- •Phase 2 / prefix-sum, simulation
- •Reasoning-first competitive programming drill
Problem Description
Given an array A of N integers, process Q queries:
1 x: Rotate the array right by x positions.
2 l r: Output the sum of elements from indices l to r in the current array.
How to read this problem in plain language:
- This is a Phase 2 reasoning drill focused on prefix-sum, simulation.
- Typical lenses to test first: prefix-sum, simulation, rotation.
- Constraints reminder: 1 <= N, Q <= 1e5; <= 1e9; 1 <= 1 <= l <= r <= N
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 <= N, Q <= 1e5; <= 1e9; 1 <= 1 <= l <= r <= N
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.
prefix-sumsimulationrotation