As a developer, mastering the concepts of algorithms and being proficient in implementing them is essential to improving problem-solving skills. This course aims to equip you with an in-depth understanding of algorithms and how they can be utilized for problem-solving in Python.

Starting with the basics, you'll gain a foundational understanding of what algorithms are, with topics ranging from simple multiplication algorithms to analyzing algorithms. Then, you’ll delve into more advanced topics like recursion, backtracking, dynamic programming, and greedy algorithms. You'll also learn about basic graph algorithms, depth-first search, shortest paths, minimum spanning trees, and all-pairs shortest paths. 

By the end of this course, you'll have acquired a wide range of skills that will significantly enhance your ability to solve problems efficiently in Python. Through this course, not only will you improve your coding skills, but you will also gain confidence in tackling complex problems.

Mastering Algorithms for Problem Solving in Python

A vertex with both incoming and outgoing edges.

The running time of Tarjan's algorithm is:

The running time of Tarjan’s algorithm is:

The algorithm computes the longest path problem in a directed graph $G$ with weighted edges in $O(V)$ time.

The algorithm computes the longest path problem in a directed graph $G$ with weighted edges in $O(E)$ time.

The algorithm computes the longest path problem in a directed graph $G$ with weighted edges in $O(V+E)$ time.

The algorithm computes the longest path problem in a directed graph $G$ with weighted edges in $O(V \times E)$ time.

What is the running time of the algorithm for computing the longest path problem in a directed acyclic graph (dag) with weighted edges using depth-first search and memoization?

What is the running time of the algorithm for computing the longest path problem in a directed acyclic graph (dag) with weighted edges using depth-first search and memoization?

A directed graph with no directed cycles.

What is a directed acyclic graph?

Reinforce your knowledge of depth-first search and its applications in problem-solving.

Getting Started

Introduction to Algorithm

Recursion

Backtracking

Dynamic Programming

Greedy Algorithms

Prove Your Skills: A Five-Chapter Assessment

Basic Graph Algorithms

Depth-First Search

Minimum Spanning Trees

Shortest Paths

All-Pairs Shortest Paths

Pushing Your Limits: A Comprehensive Assessment

Wrapping up

Quiz: Depth-First Search