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Algorithm 面试题与答案

问题 26. Explain the concept of the Longest Common Subsequence (LCS).

The Longest Common Subsequence is the longest sequence of characters that appear in the same order in two (or more) strings. It is used in bioinformatics, text comparison, and version control.

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问题 27. How does the Primality Testing algorithm work?

Primality testing determines whether a given number is prime or composite. Various algorithms, such as the Miller-Rabin algorithm, are used for efficient primality testing.

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问题 28. What is the purpose of the Trie-based autocomplete system?

A Trie-based autocomplete system efficiently suggests word completions by traversing a trie data structure that stores a dictionary. It is commonly used in search engines and text editors.

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问题 29. Explain the concept of the Minimum Spanning Tree (MST).

A Minimum Spanning Tree is a tree that spans all the vertices in a connected, undirected graph with the minimum possible total edge weight. Algorithms like Kruskal's and Prim's are used to find MSTs.

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问题 30. What is the purpose of the B-tree data structure?

A B-tree is a self-balancing tree data structure that maintains sorted data and allows for efficient insertion, deletion, and search operations. It is commonly used in databases and file systems.

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