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If the Best Time to Buy and Sell Stock II problem is modified to include a cooldown day after selling (you cannot buy the next day), which approach is best suited to solve this variant?

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Greedy Algorithms - Best Time to Buy and Sell Stock II
If the Best Time to Buy and Sell Stock II problem is modified to include a cooldown day after selling (you cannot buy the next day), which approach is best suited to solve this variant?
AGreedy approach summing all positive price differences
BDynamic programming with state tracking for cooldown days
CSorting prices and selecting max difference
DRecursive brute force without memoization
Step-by-Step Solution
Solution:
  1. Step 1: Understand cooldown constraint

    After selling, buying is forbidden the next day, adding state dependency.
  2. Step 2: Analyze approaches

    Greedy fails because it ignores cooldown; sorting is irrelevant; brute force is inefficient.
  3. Step 3: Use DP with states

    Dynamic programming can track holding, sold, and cooldown states to maximize profit.
  4. Final Answer:

    Option B -> Option B
  5. Quick Check:

    Cooldown requires state-aware DP [OK]
Quick Trick: Cooldown needs DP with states, not greedy [OK]
Common Mistakes:
MISTAKES
  • Applying greedy ignoring cooldown
  • Using sorting which doesn't handle constraints
  • Using brute force without memoization causing inefficiency
Trap Explanation:
PITFALL
  • Greedy ignores cooldown, brute force is inefficient
Interviewer Note:
CONTEXT
  • Tests knowledge of problem variants and appropriate algorithms
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