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Advanced Algorithms and Data Structures

This is an advanced course on algorithms and data structures.

If you want to learn algorithms and data structures from the ground-up, follows this course instead: Learn Algorithms and Data Structures.

The tutorials have been edited and curated meticulously and are some of the best tutorials on each topic available online.

One-off algorithms

This section contains algorithms that don't clearly fit any bucket.

Solving linear recurrence using matrix exponentiation
2 mins
Sieve of Eratosthenes tutorial
2 mins

Graph Algorithms continued

All Pairs Shortest Path (Floyd Warshall)
5 mins
Single Source Shortest Path: Bellman Ford
4 mins
Dynamic Programming on Trees (or Tree DP)
14 mins
Centroid Decomposition in Trees Tutorial
3 mins

Segment Trees + Binary Indexed Trees + MO's algorithm

Segment Trees
3 mins
Binary Indexed Trees (aka Fenwick Tree)
2 mins
Merge Sort Trees [Tutorial]
7 mins
Augmented Segment Trees
2 mins
Persistent segment trees: Explained with SPOJ problems
13 mins
MO’s Algorithm (Query square root decomposition)
12 mins
Heavy Light Decomposition
22 mins

Computational Geometry + Miscellaneous

Convex hull: Monotone Chain Method
3 mins
Graham Scan: O(n log n) convex-hull algorithm
3 mins
Quick-Hull: A quick-sort like algorithm for convex hull
2 mins
Parallel Binary Search
2 mins
The Inclusion-Exclusion Principle
2 mins

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Solving linear recurrence using matrix exponentiation

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