Profound Academy

04/14/2025

Discussing some of the best ways to learn Algorithms and Data Structures, should one use AI when solving algorithmic problems, and should you even spend time learning Algorithms in this day and age...

📚 Full DSA Course: https://profound.academy/algorithms-data-structures🎓 Teach with Profound Academy: https://profound.academy/teachhttps://profound.academy...

01/14/2025

Very exciting video on Breadth-First Search 🎉
It's a graph algorithm usually taught at universities during the introductory Data Structures and Algorithms course. It's one of the most popular algorithms in competitive programming and algorithmic interview questions.

Breadth First Search or BFS for short, is one of the most popular graph traversal algorithms. It can be used to traverse a graph, search for some properties,...

09/26/2024

Merge Sort is one of the most efficient comparison-based sorting algorithms. Merge Sort is a great way to understand the divide-and-conquer technique. While Merge Sort is generally faster than simpler algorithms like Insertion Sort or Bubble Sort, especially for larger datasets, it’s also known for its stable sorting behavior and consistent performance.

In this tutorial, we walk through the core ideas of the Merge Sort Algorithm, its step-by-step implementation, and how it works on example arrays. We also explore the Time and Memory Complexity of the Merge Sort algorithm. Finally, we compare Merge Sort to other sorting algorithms to showcase where the Merge Sort excels in real-world scenarios.

Full Video:

Merge Sort is one of the most efficient comparison based sorting algorithms. Merge Sort is a great way to dive deeper into understanding the divide-and-conqu...

06/27/2024

Many universities start their Algorithms and Data Structures courses with a simple sorting algorithm, like Bubble Sort. Even though it's far from being the most efficient sorting algorithm, it's still a great place to start.
It's especially useful when explaining things like algorithm complexity and Big O notation.

In this tutorial, we go through the details of the Bubble Sort Algorithm, how to implement the sorting algorithm itself, and several important properties. We'll see if Bubble Sort is stable or not, check if it uses additional memory, and finally arrive at the Time Complexity of the algorithm (both best and worst cases).

Full Video:

Bubble Sort is one of the first sorting algorithms universities teach in their curriculum. Bubble Sort Algorithm is a great place to start learning about alg...

05/30/2024

Binary Search is one of the most popular algorithms taught by universities and is widely used in the industry. It significantly speeds up searching for data in large and ordered collections.

Fun fact: Did you know that a 1988 study found that 3 out of 4 Computer Science textbooks had a bug in the implementation of the Binary Search algorithm?

Binary Search is one of the most popular algorithms both at universities and in industry. It significantly speeds up the process of searching for data in lar...

05/12/2023

In this video, we delve deep into the powerful Sliding Window technique, a key tool in algorithmic problem-solving that can significantly speed up calculations and improve performance. This technique is often used in competitive programming and algorithmic interviews, and mastering it can give you a significant edge.

In this video, we delve deep into the powerful Sliding Window technique, a key tool in algorithmic problem-solving that can significantly speed up calculatio...

05/09/2023

Do you know how to compute the sum of a submatrix in O(1) time? In this video we discuss the details of 2D prefix sum arrays and how to perform O(1) submatrix sum queries.

2D prefix sum arrays are often found in algorithmic interview questions and in real-world applications like image processing and computer graphics, where one needs to perform area-based calculations quickly.

A 2-dimensional prefix sum is a powerful algorithmic technique used in computer science and mathematics to preprocess a given 2D grid or matrix, enabling eff...

05/09/2023

We're starting a series of videos on Algorithms and Data Structures. This is the first video covering prefix sum arrays and how to perform range sum queries in O(1) time.

Practice on Profound AcademyPrefix Sum Arrays or simply Prefix Sums are used to perform fast range sum queries on a given array. The time complexity of the a...

10/07/2022

Python is a programming language that lets you work quickly and integrate systems more efficiently. Here are some interesting facts about Python.