Determine feasible task ordering

Q: Determine feasible task ordering

This question evaluates knowledge of graph algorithms and dependency management, emphasizing concepts such as topological ordering and cycle detection and the ability to determine feasibility and produce a valid execution sequence.

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Question

You are given n tasks labeled 0..n−1 and a list of dependency pairs (a, b) meaning task a requires task b to be completed first. Implement functions to (

determine whether all tasks can be completed and (
return any valid execution order if it exists. Analyze time and space complexity and discuss how your solution behaves on large sparse versus dense dependency graphs.

Determine feasible task ordering

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