To improve AIME score, and to be able to solve some problems at the JMO level.
Divisors and Multiples
Prime Numbers
Modular Congruence
Wilson and Fermat's theorems
Euler's Theorem
Binomial Coefficients
Order, Primitive Roots and LTE
Quadratic Congruence
Polynomial Congruence Introduction
Fibonacci Numbers
Floor Functions
Mathematical Induction
Parity
Inclusion Exclusion Principle
State Diagrams
Combinatorial Identities
Recursive Sequences
Counting with Recursions
Generating Functions
Burnside's Lemma
Mobius Inversion
Miscellaneous Case Studies
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