Visualize Algorithms Like Never Before

Break down complex algorithmic concepts into easy-to-understand animated explanations with detailed step-by-step visualizations.

Explore Algorithm Categories

Choose from various algorithm types to visualize and understand their inner workings

Sorting Algorithms

Quick Sort, Merge Sort, Bubble Sort

Graph Algorithms

Dijkstra, BFS, DFS, MST

Dynamic Programming

Fibonacci, Knapsack, LCS

How It Works

Understanding Algorithms Visually

Our visualization tool breaks down complex algorithms into digestible steps with clear animations.

Step-by-Step Visualization

Each algorithm is broken down into discrete steps with visual representations of data structures and operations.

Mathematical Explanation

Clear mathematical notation accompanies each visualization to explain the underlying principles.

Interactive Code

Follow along with pseudocode and real implementations that highlight key algorithmic concepts.

Sample Visualization Preview

See how our visualizations bring algorithms to life

Merge Sort Visualization

Array being divided and merged

function mergeSort(arr):
    if length(arr) <= 1:
        return arr
    
    mid = length(arr) / 2
    left = mergeSort(arr[0...mid])
    right = mergeSort(arr[mid...end])
    
    return merge(left, right)

Mathematical Explanation

\( T(n) = 2T\left(\frac{n}{2}\right) + O(n) \)

The recurrence relation for merge sort shows that the problem is divided into two subproblems of half the size, and then combined in linear time.

The solution to this recurrence is:

\( T(n) = O(n \log n) \)

This makes merge sort one of the most efficient sorting algorithms with guaranteed \( O(n \log n) \) performance.