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

Graph Algorithms (S4)

Strongly connected components

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.

Topological sort and DAGs

Topological sort and DAGs — anchored on 2017 S4 *Minimum Cost Flow*

DSU applications and offline processing

DSU applications and offline processing — anchored on 2018 S5 *Maximum Strategic Savings*

On this page

Strongly connected components