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Bit Manipulationhard70 minData Engineer

Quality Policy State Compression

Data Engineer signal: bitmask DP + state compression in a data quality monitor context. This is a ProdMatch-owned data engineer drill, framed as a April 2026 Google Data Trust simulation, not a copied platform question.

Company context

Google · Data Trust

Freshness

April 2026

Product surface

data quality monitor

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

Question

For data quality monitor, each checks 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

  • stream windows
  • watermarks
  • lineage DAGs
  • 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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