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Which of the following problems CANNOT be solved using the Ones and Zeroes (2D Knapsack) dynamic programming pattern?

easy🔍 Pattern Recognition Q2 of Q15
Dynamic Programming: Knapsack - Ones and Zeroes (2D Knapsack)
Which of the following problems CANNOT be solved using the Ones and Zeroes (2D Knapsack) dynamic programming pattern?
ASelecting a subset of strings with constraints on maximum zeros and ones
BChoosing strings to maximize count without exceeding zero and one limits
CFinding the shortest path in a weighted graph
DMaximizing number of items chosen with two resource constraints
Step-by-Step Solution
Solution:
  1. Step 1: Analyze problem types

    Options A, B, and D describe problems with two resource constraints suitable for 2D knapsack.
  2. Step 2: Identify the odd one out

    Finding shortest path is a graph problem, not a knapsack variant.
  3. Final Answer:

    Option C -> Option C
  4. Quick Check:

    Shortest path ≠ knapsack pattern [OK]
Quick Trick: Shortest path is graph, not knapsack [OK]
Common Mistakes:
MISTAKES
  • Confusing shortest path with knapsack
  • Assuming all subset problems fit knapsack
Trap Explanation:
PITFALL
  • Candidates often misclassify graph problems as knapsack due to subset selection wording.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and problem classification skills.
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