CustomCC0-1.0#p0011450
Prefix XOR Equalizer
Summary
- •Phase 1 / prefix_xor, greedy
- •Reasoning-first competitive programming drill
Problem Description
Given an array of n integers, you can perform at most one operation: flip (XOR with 1) any continuous subarray. What is the maximum number of equal prefix XORs (prefixes from 1 to i for any i) you can achieve after the operation?
How to read this problem in plain language:
- This is a Phase 1 reasoning drill focused on prefi, greedy.
- Typical lenses to test first: xor, prefix, greedy.
- Constraints reminder: 1 ≤ , 0 ≤
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 ≤ , 0 ≤
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.
xorprefixgreedyarrays