Solution: Sort Items by Groups Respecting Dependencies
Explore how to sort items respecting both item-level and group-level dependencies by applying hierarchical topological sorting. Learn to assign unique groups, build dependency graphs, detect cycles, and achieve a valid item order that respects group contiguity and prerequisite requirements.
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Statement
You are given m groups, described by the array group, where:
group[i]represents the group of theitem. If
group[i], the item isn’t assigned to any existing group and should be treated as belonging to its own unique group.
You’re also given a list, beforeItems, where beforeItems[i] contains all items that must precede item
Your goal is to arrange all
Dependency order: Every item must appear after all the items listed in
beforeItems[i].Group continuity: All items that belong to the same group must appear next to each other in the final order.
If there are multiple valid orderings, return any of them. If there’s no possible ordering, return an empty list.
Constraints:
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