Discuss a real-world scenario where topological sorting is used extensively, and explain its importance in that context.
- Arranging files in a file system alphabetically.
- Randomly arranging items in a list.
- Scheduling tasks in a project management system to ensure dependencies are met.
- Sorting elements in an array based on their values.
Topological sorting is extensively used in scheduling tasks in project management. It ensures that tasks are executed in the correct order based on dependencies, helping in efficient project completion. For example, if Task B depends on Task A, topological sorting ensures Task A is scheduled before Task B.
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