Compare the breadth-first and depth-first search algorithms : What Are We Searching for?

The video tutorial introduces the concept of searching in graphs, covering breadth-first and depth-first search algorithms. It explains the purpose of searching graphs, such as exploring the graph's structure or finding specific goals. The tutorial uses an airline route example to demonstrate how graph searching can solve real-world problems, like finding the best travel route. Finally, it discusses using search algorithms to solve puzzles, emphasizing the practical applications of graph searching.

How can searching a graph help in solving real-world problems, as illustrated in the text?

Describe the sliding puzzle mentioned in the text and how searching algorithms can be applied to it.