Merge sort is an efficient sorting algorithm based on the divide-and-conquer paradigm. It recursively divides a large array into smaller sub-arrays, sorts those sub-arrays, and then merges them back together to create the final sorted array. Features: Algorithm Steps Example Let’s look at the process of sorting the array [8, 3, 1, 7, 0, 10, 2] using merge… Read More »
What is the Fibonacci Sequence? The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. It’s defined as follows: The sequence looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,… Implementing with Recursion Recursion is a technique where a function calls itself to solve a… Read More »
The Levenshtein distance (also known as edit distance) is a metric for measuring the similarity between two strings. It’s defined as the minimum number of operations required to transform one string into the other using insertion, deletion, and substitution operations. We can efficiently calculate the Levenshtein distance using dynamic programming. Example: Levenshtein Distance between “kitten” and “sitting” Let’s… Read More »
Quicksort is an efficient sorting algorithm based on the divide-and-conquer paradigm. It works as follows: Example of Quicksort: Let’s consider sorting the following array [5, 2, 8, 1, 9, 4, 7]. Python Code Example Quicksort Characteristics: Pivot Selection Strategies: The choice of pivot significantly impacts Quicksort’s performance. Quicksort is widely used due to its relatively simple implementation and… Read More »
Bubble sort is one of the simplest sorting algorithms. It works by repeatedly stepping through the list, comparing adjacent elements and swapping them if they are in the wrong order. Larger elements “bubble” to the end of the list with each pass. This process continues until the entire list is sorted in ascending (or descending) order. Example: Let’s… Read More »