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

Geometry II

Sweep line and geometric counting

occasional

Work in progress

This module is still being written — the content here is a placeholder. This guide is open source, and contributions are welcome.

Contribute on GitHub — help write this module by opening a pull request.

Convex hull and orientation

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

BIT and segment trees

BIT and segment trees — anchored on 2025 S5 *To-Do List*

On this page

Sweep line and geometric counting