Custom Sorting: Advanced

Category

Python

Difficulty

advanced

Challenges

0 hands-on challenges

Topics covered: Counting Sort and Radix Sort — Breaking the O(n log n) Barrier, Distributed Sort Design — TeraSort at Scale, Sorting in System Design — Storage Layout as a Sort Decision, Sorting Networks and SIMD — How Columnar Databases Sort in Memory, The Staff Interview Discussion — Framing Sort as a Cost Decision

Lesson Sections

1. Counting Sort and Radix Sort — Breaking the O(n log n) Barrier

   Counting Sort — O(n + k) for Bounded Integer Ranges Radix Sort — O(d * n) for Multi-Digit Keys

2. Distributed Sort Design — TeraSort at Scale

   The Range Partitioning Algorithm Tournament Tree (Loser Tree) — Optimal K-Way Merge

3. Sorting in System Design — Storage Layout as a Sort Decision

   The Full Storage Layout Design Question

4. Sorting Networks and SIMD — How Columnar Databases Sort in Memory

5. The Staff Interview Discussion — Framing Sort as a Cost Decision

   The Cost Model for Sort Decisions When NOT to Sort — The Anti-Pattern