🎓How I Study AIHISA
📖Read
📄Papers📰Blogs🎬Courses
💡Learn
🛤️Paths📚Topics💡Concepts🎴Shorts
🎯Practice
⏱️Coach🧩Problems🧠Thinking🎯Prompts🧠Review
SearchSettings
How I Study AI - Learn AI Papers & Lectures the Easy Way
CustomCC0-1.0#cptp0112200

Range Inversion Query

Thinking Mode

Summary

  • •Phase 5 / mo_algorithm, fenwick
  • •Reasoning-first competitive programming drill

Problem Description

Given an array of n integers, answer q queries: for each (l, r), compute the number of inversions in the subarray a[l..r] (1-based). How to read this problem in plain language: - This is a Phase 5 reasoning drill focused on moa​lgorithm, fenwick. - Typical lenses to test first: mo-algorithm, inversions, queries. - Constraints reminder: 1 ≤ n,q≤1e5, 1 ≤ ai≤1e6 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, 1 ≤ ai≤1e6

Analysis

Key Insight

The goal is to force explicit intermediate reasoning before revealing more.

mo-algorithminversionsqueries
mo-algorithminversionsqueries