Olympiad (USA(J)MO)

Prepare specifically for proof-based olympiad rounds with guided practice in construction, invariants, and elegant argument design.
Emphasis is on clarity, correctness, and full-solution communication.

This section is currently under development. The content you see here is filler for now.

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Proof Writing

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Proof Writing Basics

Structure, clarity, and rigor for olympiad proofs.
Updated: 2 weeks ago

Induction and Extremal Principle

Graph Theory (Intro)

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Graph Theory (Intro)

Basic graph definitions, invariants, and simple proofs.
Updated: 2 weeks ago

Advanced Inequalities

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Advanced Inequalities

Techniques in homogenization, substitution, and inequality proofs.
Updated: 2 weeks ago

Olympiad Number Theory

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Olympiad Number Theory

Orders, lifting, and structure for proof-based NT problems.
Updated: 18 hours ago

Lifting the Exponent Lemma

Learn how the Lifting the Exponent Lemma helps compute prime powers dividing expressions such as a^n-b^n and a^n+b^n.
Updated: 2 weeks ago

Lifting the Exponent Lemma

Learn how the Lifting the Exponent Lemma helps compute prime powers dividing expressions such as a^n-b^n and a^n+b^n.
Updated: 2 weeks ago

Olympiad Geometry

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Olympiad Geometry

The starting point of olympiad geometry
Updated: 2 weeks ago

Strategy and Writeups

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Strategy and Write-up Structure

Contest pacing, solution planning, and clean write-ups.
Updated: 2 weeks ago

Uncategorized

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Auto-discovered modules not yet placed in a syllabus chapter.

Angle Chasing

The core of olympiad geometry
Updated: 2 weeks ago

Exponents in NT

LTE, Zsigmondy, and other things related to Exponents
Updated: 2 weeks ago

Induction on olympiad

Induction is olympiads, used as a strategy with a recurrsion.
Updated: 2 weeks ago

Introduction to function equations

Introduction for FE beginners
Updated: 2 weeks ago

orders

Orders
Updated: Yesterday