CustomCC0-1.0#cpq004-7461750
Bitwise Segment Majority
Summary
- •Phase 2 / bitwise, segment-tree
- •Reasoning-first competitive programming drill
Problem Description
Given an array A of N integers, answer Q queries. Each query specifies L, R, and K. For each query, find the K-th largest bitwise majority bit (0-indexed, most significant bit is 0) in the subarray A[L..R].
How to read this problem in plain language:
- This is a Phase 2 reasoning drill focused on bitwise, segment-tree.
- Typical lenses to test first: bitwise, segment-tree, range-query.
- Constraints reminder: 1 <= N, Q <= 1e5; 0 <= 1 <= L <= R <= N; 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 <= N, Q <= 1e5; 0 <= 1 <= L <= R <= N; 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.
bitwisesegment-treerange-query