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Generate every ordered string of ones and twos whose digit values sum to a target integer, with no duplicates and lexicographic output. The problem tests complete enumeration, deterministic ordering, small-target edge cases, and reasoning about an inherently exponential result set.

  • medium
  • Google
  • Coding & Algorithms
  • Software Engineer

Generate Every Ordered Sum Using Ones and Twos

Company: Google

Role: Software Engineer

Category: Coding & Algorithms

Difficulty: medium

Interview Round: Onsite

Quick Answer: Generate every ordered string of ones and twos whose digit values sum to a target integer, with no duplicates and lexicographic output. The problem tests complete enumeration, deterministic ordering, small-target edge cases, and reasoning about an inherently exponential result set.

Last updated: Aug 5, 2026
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