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

Dynamic Programming

DP optimization (CHT, D&C, monotone)

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.

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DP over sequences and subsequences

DP over sequences and subsequences — anchored on 2023 S5 *The Filter* and 2020 S5 *Josh’s Double Bacon Deluxe*

DP with geometry/counting states

DP with geometry/counting states — anchored on 2024 S5 *Chocolate Bar Partition*

On this page

DP optimization (CHT, D&C, monotone)