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Which of the following problems CANNOT be solved optimally using the greedy approach used in Best Time to Buy and Sell Stock II?

easy🔍 Pattern Recognition Q2 of Q15
Greedy Algorithms - Best Time to Buy and Sell Stock II
Which of the following problems CANNOT be solved optimally using the greedy approach used in Best Time to Buy and Sell Stock II?
AMaximize profit with unlimited buy-sell transactions on given stock prices
BCalculate total profit by summing all positive price differences
CFind maximum profit with exactly one buy and one sell transaction
DMaximize profit with unlimited transactions but with a fixed transaction fee per trade
Step-by-Step Solution
Solution:

  1. Step 1: Analyze problem constraints

    Transaction fee changes profit calculation, making simple greedy summing invalid.

  2. Step 2: Identify approach suitability

    Greedy summing positive differences fails when fees reduce net profit; DP is needed.

  3. Final Answer:

    Option D -> Option D

  4. Quick Check:

    Transaction fees break simple greedy [OK]
Quick Trick: Transaction fees require DP, not simple greedy [OK]
Common Mistakes:
MISTAKES
  • Assuming greedy works with fees
  • Confusing single transaction with unlimited
  • Ignoring fees impact
Trap Explanation:
PITFALL
  • Candidates often think unlimited transactions always allow greedy summing, ignoring fees.
Interviewer Note:
CONTEXT
  • Tests anti-pattern recognition and limits of greedy approach.
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