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Bit Manipulationhard70 minMobile Engineer

Search Policy State Compression

Mobile Engineer signal: bitmask DP + state compression in a on-device search context. This is a ProdMatch-owned mobile engineer drill, framed as a May 2026 ServiceNow Mobile Search simulation, not a copied platform question.

Company context

ServiceNow · Mobile Search

Freshness

May 2026

Product surface

on-device search

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

Question

For on-device search, each tokens 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

  • offline sync
  • local cache
  • gesture streams
  • 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

Sync Policy State CompressionhardFeed Policy State CompressionhardCache Policy State Compressionmedium