What are some advanced algorithms I should know for programming competitions?

What are some advanced algorithms I should know for programming competitions?

You should definitely be familiar with algorithms like Dijkstra's for shortest paths, dynamic programming techniques, and graph algorithms like Kruskal's and Prim's for minimum spanning trees.

Can you explain dynamic programming with an example?

Sure! Dynamic programming is used to solve problems by breaking them down into simpler subproblems. For example, the Fibonacci sequence can be computed efficiently using dynamic programming by storing previously computed values.

What about graph algorithms? How do they work?

Graph algorithms are used to solve problems related to graph structures. For instance, Dijkstra's algorithm finds the shortest path from a source node to all other nodes in a weighted graph.

Are there any resources you recommend for learning these algorithms?

Yes! Websites like LeetCode, HackerRank, and Codeforces offer great practice problems. Additionally, books like 'Introduction to Algorithms' by Cormen et al. are excellent resources.