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Algorithm 面试题与答案

问题 6. How does the Rabin-Karp algorithm work?

The Rabin-Karp algorithm is a string-searching algorithm that efficiently finds the occurrence of a pattern within a text by using hashing. It checks for a match by comparing hash values of the pattern and substrings of the text.

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问题 7. Explain the concept of the traveling salesman problem (TSP).

The traveling salesman problem is a combinatorial optimization problem where the goal is to find the shortest possible tour that visits a given set of cities and returns to the starting city. It is NP-hard.

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问题 8. What is the purpose of the Prim's algorithm?

Prim's algorithm is used to find the minimum spanning tree of a connected, undirected graph. It starts with an arbitrary node and adds the shortest edge at each step, avoiding cycles.

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问题 9. Explain the concept of memoization.

Memoization is an optimization technique where the results of expensive function calls are stored and reused, avoiding redundant computations. It is often used in dynamic programming.

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问题 10. What is the purpose of the Karger's algorithm?

Karger's algorithm is a randomized algorithm used to find a minimum cut of a connected graph. It repeatedly contracts random edges until only two nodes (representing the two sides of the cut) remain.

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