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Bit Manipulationhard70 minFull Stack Developer

Admin Policy State Compression

Full Stack Developer signal: bitmask DP + state compression in a admin permissions context. This is a ProdMatch-owned full stack engineer drill, framed as a April 2026 SAP Labs Internal Tools simulation, not a copied platform question.

Company context

SAP Labs · Internal Tools

Freshness

April 2026

Product surface

admin permissions

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

Question

For admin permissions, each policies 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

  • workflow graphs
  • API pagination
  • cache invalidation
  • 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.

Next Similar Problems

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