The 0/1 Knapsack Problem

Updated Apr 28, 2026

Short answer

Selecting items with weight and value to maximize value within a weight limit.

Deep explanation

Mid-level DP involves identifying the transition recurrence and the dimensions of the DP table. Selecting items with weight and value to maximize value within a weight limit.

Real-world example

Optimizing cargo loading on a ship with weight limits.

Common mistakes

  • Confusing 0/1 Knapsack (cannot split items) with Fractional Knapsack (Greedy).

Follow-up questions

  • How can you optimize space in 0/1 Knapsack?

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