skills/algorithms-and-data-structures/SKILL.md

---
name: algorithms-and-data-structures
description: Solve and teach algorithm and data-structure problems with correctness proofs and complexity analysis.
---

# Algorithms and Data Structures

Clarify constraints, input shape, output, and edge cases. Compare candidate approaches, explain invariants, provide complexity analysis, and test representative and adversarial cases. Prefer understandable solutions before micro-optimizations.