Data Structure Display vs Algorithm++

A novel data structure learning app, the most significant feature is that you can dynamically debug the data structure in this app, and visually observe the changes in the data structure during the operation. In this app you can learn the following data structures: 1. Linear structures, including arrays, linked lists, queues, stacks. Linear structures are the basis for other advanced data structures, as fine as advanced algorithms. 2. Tree structures, including binary tree, binary search tree, AVL tree, red-black tree, and heap. In this app, you can dynamically debug three traversals of the binary tree (including non-recursive traversal implementations), searching in the tree, balance adjustments in the AVL tree and red-black tree, and heap sorting. Give you the ability of handwritten red-black trees. 3. Graph structure, including the adjacency list storage representation of the graph structure, depth-first search and breadth-first search, finding the Euler path in the graph, topological sorting, maximum connected components, minimum spanning tree problem, and shortest single source Path problem. It also provides dynamic debugging of these classic graph algorithms. 4. The data structure introductory class will talk about the problem of the Tower of Hanoi. The algorithm that solves this problem is often recursive. This app provides dynamic debugging of the Tower of Hanoi problem, so you can no longer be confused about the recursive calls of the Tower of Hanoi.

Unlock the world of algorithms with Algorithm++! Visualize, listen, and master the logic behind sorting algorithms. Whether you are a Computer Science student preparing for exams, a developer brushing up for technical interviews, or an enthusiast who enjoys satisfying visualizations, Algorithm++ is the ultimate educational tool. Visualize & Customize Watch 16 different sorting algorithms in action. Use the dynamic sliders to adjust the sorting speed and change the array size from 10 to 100 items. Experience the difference between O(n²) and O(n log n) visually. Hear the Algorithms (Sonification) Don't just watch—listen! Algorithm++ features a real-time audio oscillator that generates sound based on value comparisons and swaps. Hear the chaotic noise of a random array transform into a satisfying, rising scale as it gets sorted. Inspect the Code Learn how it works under the hood. View the actual Swift source code for every algorithm with beautiful syntax highlighting. Perfect for understanding the implementation details. Master Big O Complexity Get instant access to Time Complexity and Space Complexity data for every algorithm. Understand the efficiency trade-offs between different methods. Test with Real-World Patterns Algorithms behave differently based on input data. Use the "Data Patterns" feature to test sorting on: Random: The standard chaos. Sorted: See how algorithms handle already-sorted data. Reversed: The worst-case scenario for many algorithms. Almost Sorted: Watch Insertion Sort shine! Few Unique: Visualize sorting with repeated values. Included Algorithms: From the basics to the advanced, and even the "joke" sorts: Basic: Bubble, Selection, Insertion Efficient: Quick Sort, Merge Sort, Heap Sort, Shell Sort Educational: Cocktail Shaker, Comb, Odd-Even, Gnome, Cycle, Pancake, Stooge Non-Comparative: Radix Sort (LSD) Bonus: Bogo Sort (Good luck!) Features: Clean, modern SwiftUI interface. Interactive controls (Pause, Resume, Step). Mute/Unmute functionality. Detailed algorithm information cards. Dark Mode support. Download Algorithm++ today and turn abstract concepts into clear, interactive experiences!