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

1D DP and state design

very-frequent

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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LCA and binary lifting

LCA and binary lifting — anchored on 2018 S4 *Balanced Trees* (full)

The knapsack family

The knapsack family — anchored on 2012 S5 *Mouse Journey* and 2019 S4 *Tourism*

On this page

1D DP and state design