CustomCC0-1.0#cp010-3322000
Kth Distinct Subarray XOR
Summary
- •Phase 5 / prefix xor, trie, set
- •Reasoning-first competitive programming drill
Problem Description
Given an array of n integers, find the k-th smallest value among all distinct XORs of contiguous subarrays.
How to read this problem in plain language:
- This is a Phase 5 reasoning drill focused on prefix xor, trie, set.
- Typical lenses to test first: prefix xor, trie, subarray.
- Constraints reminder: 1 <= n <= 2*10^4, 1 <= ai <= 10^9, 1 <= k <= 10^6
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 <= 2*10^4, 1 <= ai <= 10^9, 1 <= k <= 10^6
Analysis
Key Insight
The goal is to force explicit intermediate reasoning before revealing more.
prefix xortriesubarray