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

Modular exponentiation, inverses, sieves

common

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 with geometry/counting states

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

Binomial coefficients and counting mod p

Binomial coefficients and counting mod p — anchored on 2022 S3 *Good Samples* and 2012 S1 *Don’t pass me the ball!*

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Modular exponentiation, inverses, sieves