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Bit Manipulationmedium45 minBackend Engineer

Courier Policy State Compression

Backend Engineer signal: bitmask DP + state compression in a courier assignment context. This is a ProdMatch-owned backend engineer drill, framed as a April 2026 Lenskart Dispatch Engine simulation, not a copied platform question.

Company context

Lenskart · Dispatch Engine

Freshness

April 2026

Product surface

courier assignment

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

Question

For courier assignment, each orders requires a subset of capabilities. Choose the smallest team of services covering all required capabilities; tie-break by lowest total risk.

Input

  • m capabilities and services with capability masks plus risk.

Output

  • Minimum service count and risk, or impossible.

Constraints

  • 1 <= m <= 22
  • 1 <= services.length <= 2000
  • Capability sets may overlap heavily.

Concepts

  • idempotency
  • queues
  • rate limiting
  • bitmask DP
  • state compression
  • subset enumeration

required={A,B,C}, services=[AB risk 4, C risk 1] -> count=2, risk=5

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

  • Do not shift beyond the integer width in fixed-width languages.
  • Keep feature-to-bit mapping stable.

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