Dynamic ProgrammingEvidence Contributing

0/1 Knapsack

DP where each item may be used at most once, choosing a subset that hits or approaches a target.

Practice Problems: 2
Difficulty: 0 Easy·2 Medium·0 Hard

Algorithmic Intuition & Recognition

The 0/1 Knapsack technique is applied when tackling problems characterized by specific invariants in the problem state or constraints:

  • Core Strategy: DP where each item may be used at most once, choosing a subset that hits or approaches a target.
  • When to use: Look for opportunities where repeated re-computation can be replaced by maintaining monotonic properties, state windows, or relational pointers.
  • Interview Signal: Demonstrating this pattern shows mastery of Dynamic Programming foundations, reducing worst-case algorithmic complexity.

Canonical Practice Problems

2 problems

Curated Sheets Containing This Pattern

Related Algorithmic Patterns