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Which of the following problems CANNOT be solved using the 0/1 Knapsack dynamic programming pattern?

easy🔍 Pattern Recognition Q2 of Q15
Dynamic Programming: Knapsack - 0/1 Knapsack Problem
Which of the following problems CANNOT be solved using the 0/1 Knapsack dynamic programming pattern?
ASelecting items to maximize value without exceeding weight capacity
BChoosing a subset of tasks with deadlines and profits to maximize total profit
CFinding the maximum value subset of items where each item can be chosen at most once
DSelecting fractions of items to maximize value within capacity
Step-by-Step Solution
Solution:

  1. Step 1: Understand 0/1 Knapsack constraints

    Items are indivisible and can be included or excluded entirely.

  2. Step 2: Identify problem types

    Fractional knapsack allows partial items, solved greedily, not by 0/1 knapsack DP.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    Fractional items break 0/1 knapsack assumptions [OK]
Quick Trick: Fractional items -> not 0/1 knapsack
Common Mistakes:
MISTAKES
  • Assuming 0/1 knapsack solves fractional knapsack
Trap Explanation:
PITFALL
  • Candidates confuse fractional knapsack with 0/1 knapsack, thinking DP applies.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and understanding of problem constraints
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