algorithm-pro

Design algorithms with formal modeling, strategy selection, and complexity analysis.

1|Updated Jul 3, 2026
One-click install
npx skills add https://github.com/truongnat/skills --skill algorithm-pro
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: algorithm-pro
Source: https://github.com/truongnat/skills/tree/main/skills/algorithm-pro
Command: npx skills add https://github.com/truongnat/skills --skill algorithm-pro

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Professional algorithm design and correctness reasoning guidance for tackling hard coding interview style problems, formal modeling, and performance trade-offs.

Core Features & Use Cases

  • Formal problem modeling and constraints definition.
  • Strategy selection among DP, greedy, graph search, and other families with complexity reasoning.
  • Use Case: prepare for coding interviews or integrate algorithmic solutions into production systems.

Quick Start

Provide an end-to-end algorithm design solution for a given problem, including modeling, strategy, and complexity trade-offs.

Frequently Asked Questions about algorithm-pro

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I design an algorithm and prove its correctness for a complex coding problem?

Algorithm design requires formal problem modeling, strategy selection among DP, greedy, or graph approaches, and invariant proofs to ensure correctness. This yields an end-to-end solution with explicit complexity and resource usage derivations for rigorous performance analysis.

What is the best way to choose between dynamic programming and greedy strategies for optimization tasks?

Choosing between DP and greedy strategies requires analyzing problem constraints and optimal substructure. This analysis identifies whether local optimal choices guarantee global optimality, providing a formal strategy selection with rigorous complexity reasoning and trade-offs.

How do I model constraints and analyze complexity for graph search algorithms in production systems?

Modeling graph search algorithms involves formal problem definition and explicit complexity derivation. This process evaluates resource usage and performance trade-offs, ensuring the algorithmic solution integrates efficiently into production systems.

Can I use formal algorithm modeling and invariant proofs for coding interview preparation?

Formal algorithm modeling and invariant proofs are highly effective for coding interview preparation. They guide strategy selection and rigorous performance analysis, helping you solve deep algorithm design and correctness reasoning tasks.

Why does my algorithmic solution lack rigorous performance analysis and resource usage derivation?

Rigorous performance analysis requires explicit complexity derivation and formal resource usage modeling. Without these derivations, algorithmic solutions lack the formal trade-off evaluation needed for production contexts and correctness verification.