CustomCC0-1.0#cptp0061400
Minimal Cost Array Rotation
Summary
- •Phase 4 / array_rotation, monotonicity
- •Reasoning-first competitive programming drill
Problem Description
Given an array of n integers, find the minimal cost to rotate the array any number of times (possibly zero) so that the resulting array is non-decreasing. To rotate, you may move the last element to the front. The cost is the number of such operations.
How to read this problem in plain language:
- This is a Phase 4 reasoning drill focused on arra, monotonicity.
- Typical lenses to test first: array, rotation, greedy.
- Constraints reminder: 1 ≤ , ≤ 1e9
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 ≤ , ≤ 1e9
Analysis
Key Insight
The goal is to force explicit intermediate reasoning before revealing more.
arrayrotationgreedy