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Graphshard70 minDevOps / SRE Engineer

Capacity Dependency DAG Recovery

DevOps / SRE Engineer signal: topological sort + cycle detection in a capacity allocator context. This is a ProdMatch-owned devops sre drill, framed as a March 2026 Zoho Cloud Infra simulation, not a copied platform question.

Company context

Zoho · Cloud Infra

Freshness

March 2026

Product surface

capacity allocator

ProdMatch interview simulation based on product-team patterns; not a claim of a real company question.

Question

You own capacity allocator for a DevOps / SRE Engineer loop. Given workloads and directed dependencies between them, return a valid execution order. If a cycle exists, return an empty list and identify that the rollout is blocked.

Input

  • n nodes labelled 0..n-1 and dependency pairs [before, after].

Output

  • A valid order of all nodes, or [] when dependencies contain a cycle.

Constraints

  • 1 <= n <= 200000
  • 0 <= dependencies.length <= 400000
  • The graph may be disconnected.

Concepts

  • blast-radius graphs
  • alert dedupe
  • rolling windows
  • topological sort
  • cycle detection
  • dependency graph

workloads: 4, deps: [[0,1],[0,2],[2,3]] -> [0,1,2,3] or [0,2,1,3]

Approach

Try framing your own approach first. The 30 seconds you think before peeking is where learning happens.

Clean Solution

Reveal the approach first.

How well did you understand?

Your rating tunes when this problem shows up again.

Common Mistakes

  • Mark visited when enqueueing, not after repeated dequeue.
  • Do not ignore disconnected components if the product surface can have them.

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