Advanced

Some these topics have not appeared in Platinum and probably never will (ex. Matroid Intersection).
Others have appeared in Old Gold or Platinum very infrequently (ex. BCC, Suffix Array).

Modules Progress

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37 total

Problems Progress

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244 total

Data Structures

Max Suffix Query with Insertions Only

Rare

A solution to USACO Gold - Springboards.

Wavelet Tree

Has Not Appeared

Counting Minimums with Segment Tree

Has Not Appeared

Segment Tree Beats

Rare

?

Persistent Data Structures

Rare

?

Treaps

Not Frequent

?

Convexity

LineContainer

Rare

Convex Containers

Lagrangian Relaxation

Rare

aka Aliens Trick

Slope Trick

Rare

Slope trick refers to a way to manipulate piecewise linear convex functions. Includes a simple solution to USACO Landscaping.

Graphs

Shortest Paths with Negative Edge Weights

Has Not Appeared

Returning to Bellman-Ford and Floyd-Warshall.

Eulerian Tours

Has Not Appeared

Visiting all edges of a graph exactly once.

BCCs and 2CCs

Rare

Strongly Connected Components

Rare

Subsets of nodes in directed graphs where each node in a subset can reach each other node in the subset.

Offline Deletion

Has Not Appeared

Erasing from non-amortized insert-only data structures.

Euler's Formula

Rare

A formula for finding the number of faces in a planar graph.

Critical

Rare

CSES Critical Cities and Extensions

Link Cut Tree

Rare

?

Dynamic Programming

DP on Trees - Combining Subtrees

Rare

?

Additional DP Optimizations and Techniques

Rare

Techniques and optimizations like Knuth's optimization.

Sum over Subsets DP

Has Not Appeared

Taking bitmask DP to the next level.

Flows

Maximum Flow

Rare

Introduces maximum flow as well as flow with lower bounds.

Minimum Cut

Rare

?

Flow with Lower Bounds

Has Not Appeared

?

Minimum Cost Flow

Rare

Triangle Inequality, Johnson's Algorithm, and Min Cost Flow

Polynomials

Introduction to Fast Fourier Transform

Has Not Appeared

Quickly multiplying polynomials

More Complex Operations Using FFT

Has Not Appeared

?

Strings

String Searching

Rare

Knuth-Morris-Pratt and Z Algorithms (and a few more related topics).

Suffix Array

Rare

Quickly Sorting Suffixes of a String (and Applications)

String Suffix Structures

Has Not Appeared

Suffix Automata, Suffix Trees, and Palindromic Trees

Misc. Topics

Extended Euclidean Algorithm

Rare

?

XOR Basis

Rare

?

Fracturing Search

Rare

A simple solution to "Robotic Cow Herd" that generalizes.

Game Theory

Has Not Appeared

?

Prefix Sums of Multiplicative Functions

Has Not Appeared

?

Matroid Intersection

Has Not Appeared

?

Interactive and Communication Problems

Rare

Some tips and tricks

Vectorization in C++

?