CustomCC0-1.0#P0011400
Sliding Median XOR
Summary
- •Phase 2 / Sliding Window, Order Statistics
- •Reasoning-first competitive programming drill
Problem Description
Given an array of N integers and a window size K, for each position i (1 ≤ ), compute the XOR of the median value in the window A[i..i+K-1] with K. Output the sum of these values over all windows.
How to read this problem in plain language:
- This is a Phase 2 reasoning drill focused on Sliding Window, Order Statistics.
- Typical lenses to test first: sliding window, order-statistics, xor.
- Constraints reminder: 1 ≤ , 1 ≤ , 0 ≤ A[i] < 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 ≤ , 1 ≤ , 0 ≤ A[i] < 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 windoworder-statisticsxor