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Top rated data structure and algorithms
Here are some top-rated data structures and algorithms, widely used and accepted in the field of computer science:
Data Structures:
- Arrays: A fundamental data structure used to store a collection of elements of the same data type.
- Linked Lists: A dynamic data structure used to store a collection of elements, where each element is a separate object.
- Stacks: A Last-In-First-Out (LIFO) data structure used to store and retrieve elements.
- Queues: A First-In-First-Out (FIFO) data structure used to store and retrieve elements.
- Trees: A hierarchical data structure used to store elements in a tree-like structure.
- Graphs: A non-linear data structure used to store elements and their relationships.
- Hash Tables: A data structure used to store key-value pairs and provide fast lookup, insertion, and deletion operations.
Algorithms:
- Sorting Algorithms:
- Quicksort: A divide-and-conquer algorithm with an average time complexity of O(n log n).
- Merge Sort: A divide-and-conquer algorithm with a time complexity of O(n log n).
- Heap Sort: A comparison-based sorting algorithm with a time complexity of O(n log n).
- Searching Algorithms:
- Linear Search: A simple searching algorithm with a time complexity of O(n).
- Binary Search: A fast searching algorithm with a time complexity of O(log n).
- Graph Algorithms:
- Dijkstra's Algorithm: A shortest path algorithm with a time complexity of O(|E| + |V|log|V|).
- Bellman-Ford Algorithm: A shortest path algorithm with a time complexity of O(|E| * |V|).
- Floyd-Warshall Algorithm: A shortest path algorithm with a time complexity of O(|V|^3).
- String Algorithms:
- Rabin-Karp Algorithm: A string searching algorithm with a time complexity of O(n + m).
- Knuth-Morris-Pratt Algorithm: A string searching algorithm with a time complexity of O(n + m).
- Dynamic Programming:
- Fibonacci Series: A classic example of dynamic programming with a time complexity of O(n).
- Longest Common Subsequence: A dynamic programming algorithm with a time complexity of O(n * m).
Top-Rated Algorithms:
- Topological Sort: A linear ordering of vertices in a directed acyclic graph (DAG).
- Minimum Spanning Tree: A subset of edges in a graph that connects all vertices with minimum total weight.
- K-Means Clustering: An unsupervised learning algorithm for partitioning data into K clusters.
- Sieve of Eratosthenes: An algorithm for finding all prime numbers up to a given number.
- Fast Fourier Transform: An efficient algorithm for calculating the discrete Fourier transform of a sequence.
Note: The time complexities mentioned above are for the average case, and the actual time complexity may vary depending on the specific implementation and input data.
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