📅 2024-04-17 — Session: Implemented and Analyzed Advanced Algorithms in Python
🕒 15:45–16:50
🏷️ Labels: Python, Algorithms, Divide And Conquer, Mergesort, Karatsuba
📂 Project: Dev
⭐ Priority: MEDIUM
Session Goal
The session aimed to implement and analyze various advanced algorithms using Python, focusing on efficiency and complexity.
Key Activities
- Merge-and-Count Algorithm: Explored the Merge-and-Count technique for inversion counting during the merge step of Mergesort, maintaining an O(n log n) complexity. A Python implementation was provided.
- Closest Pair of Points: Implemented a divide-and-conquer algorithm to find the closest pair of points in a 2D space, detailing the steps and functions involved.
- Binary Tree Diameter: Developed a recursive algorithm to calculate the diameter of a binary tree, based on determining the height and diameter of each subtree, with a Python implementation.
- Karatsuba Algorithm: Explained the Karatsuba algorithm for multiplying large numbers, illustrated with examples in binary and decimal systems, followed by a Python implementation to reduce multiplication complexity.
- Matrix Power Sum: Presented a strategy to calculate the sum of matrix powers using a divide-and-conquer approach, with an efficient Python implementation.
Achievements
- Successfully implemented and tested multiple algorithms, enhancing understanding of complex algorithmic strategies and their Python applications.
Pending Tasks
- Further optimization and testing of the implemented algorithms to ensure robustness and efficiency in various scenarios.