Graph Algorithms (S4)

Dijkstra and weighted shortest paths Minimum spanning trees Topological sort and DAGs Strongly connected components DSU applications and offline processing

Trees

Tree DP and rerooting LCA and binary lifting

Dynamic Programming

1D DP and state design The knapsack family Grid and interval DP DP on DAGs and shortest-path-as-DP DP over sequences and subsequences DP optimization (CHT, D&C, monotone)DP with geometry/counting states

Number Theory and Combinatorics

Modular exponentiation, inverses, sieves Binomial coefficients and counting mod p

Geometry II

Convex hull and orientation Sweep line and geometric counting

Data Structures II

BIT and segment trees

Number Theory and Combinatorics

Binomial coefficients and counting mod p

common

Work in progress

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Modular exponentiation, inverses, sieves

Modular exponentiation, inverses, and sieves — anchored on 2021 S5 *Math Homework* and 2013 S5 *Factor Solitaire*

Convex hull and orientation

Convex hull and orientation — anchored on 2015 S4 *Convex Hull*

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Binomial coefficients and counting mod p