Can you explain the depth-first search algorithm with an example?
Sure! Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the root (or an arbitrary node) and explores as far as possible along each branch before backtracking.
How does DFS work step by step?
DFS works by using a stack to keep track of the nodes to visit. It visits a node, marks it as visited, and then recursively visits each unvisited neighbor until all nodes are explored.
Can you give me a simple example using a graph?
Absolutely! Consider a graph with nodes A, B, C, D, and E. Starting from A, DFS would visit A, then B, then D, backtrack to B, then C, and finally E.
What are the applications of DFS?
DFS is used in various applications like pathfinding, topological sorting, and solving puzzles like mazes.
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