CustomCC0-1.0#cp0141500
Longest Contiguous Segment with Unique Sums
Summary
- •Phase 4 / prefix sum, set, sliding window
- •Reasoning-first competitive programming drill
Problem Description
Given an array of n integers, find the length of the longest contiguous subarray such that all prefix sums within it are unique.
How to read this problem in plain language:
- This is a Phase 4 reasoning drill focused on prefix sum, set, sliding window.
- Typical lenses to test first: sliding window, prefix sum, set.
- 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
Use this hint to refine your reasoning. This step should reduce search space or formalize correctness. State why this insight changes your algorithm choice.
sliding windowprefix sumset