math-olympiad

Solve competition math problems and verify solutions with adversarial methods.

Updated Jan 5, 2021
One-click install
npx skills add https://github.com/sauvala/dotfiles --skill math-olympiad-sauvala
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: math-olympiad
Source: https://github.com/sauvala/dotfiles/tree/main/common/.claude/plugins/marketplaces/claude-plugins-official/plugins/math-olympiad/skills/math-olympiad
Command: npx skills add https://github.com/sauvala/dotfiles --skill math-olympiad-sauvala

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill requires python, numpy, sympy, and includes scripts (resource) and references (resource) and assets (resource) components.

What problem does it solve?

This Skill solves complex math problems (e.g., IMO, Putnam, USAMO, AIME) and verifies the correctness of solutions using adversarial methods, ensuring reliability and accuracy.

Core Features & Use Cases

  • Problem Solving: Solve a variety of math problems within the domains of international mathematical competitions.
  • Adversarial Verification: Employ adversarial verification to catch errors missed by self-verification, ensuring high confidence in solutions.
  • Use Case: A student preparing for the IMO can use this Skill to solve practice problems and verify their solutions for accuracy.

Quick Start

Ask the math-olympiad skill to solve the following problem: Prove that the sum of the first n odd numbers is n^2.

Frequently Asked Questions about math-olympiad

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

FAQPage Schema
How do I solve and verify complex math olympiad problems accurately?

To solve and verify complex math olympiad problems accurately, this Skill computes solutions using Python, numpy, and sympy, then applies adversarial verification methods to catch errors missed by standard self-verification.

What is adversarial verification in mathematical problem solving?

Adversarial verification in mathematical problem solving is an error-catching mechanism that challenges initial solutions to find flaws missed by self-verification, ensuring high confidence and reliability for competition mathematics results.

Can I use Python and sympy to solve Putnam and USAMO competition problems?

Yes, you can use Python and sympy to solve Putnam and USAMO competition problems, as this Skill requires Python libraries for computation and handles international mathematical competition problems across IMO, Putnam, USAMO, and AIME.

Does this math problem solver work for AIME and IMO preparation?

Yes, this math problem solver works for AIME and IMO preparation by allowing students to solve practice problems and verify their solutions for accuracy using adversarial methods within the scope of educational activities.

What's the best way to prove that the sum of the first n odd numbers is n^2?

The best way to prove that the sum of the first n odd numbers is n^2 is to ask this Skill to solve the problem, which will compute the proof and verify its correctness using adversarial verification methods.