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Given an array of stock prices where you can perform unlimited buy-sell transactions, which strategy efficiently calculates the maximum profit?

easy💻 Programming Q1 of Q15
Greedy Algorithms - Best Time to Buy and Sell Stock II
Given an array of stock prices where you can perform unlimited buy-sell transactions, which strategy efficiently calculates the maximum profit?
AUse dynamic programming to track all possible transactions
BFind the single largest price difference between any two days
CSum all positive differences between consecutive days' prices
DSort prices and pick the lowest and highest for one transaction
Step-by-Step Solution
Solution:

  1. Step 1: Identify profitable segments

    Look for every pair of consecutive days where price increases.

  2. Step 2: Sum positive gains

    Add all positive differences to maximize total profit from multiple transactions.

  3. Final Answer:

    Option C -> Option C

  4. Quick Check:

    Check if summing positive increments yields max profit [OK]
Quick Trick: Add all upward price changes for max profit [OK]
Common Mistakes:
MISTAKES
  • Only considering the largest single transaction
  • Trying to sort prices which doesn't help
  • Overcomplicating with unnecessary DP
Trap Explanation:
PITFALL
  • Choosing largest single difference ignores multiple profitable transactions
Interviewer Note:
CONTEXT
  • Tests understanding of greedy approach for multiple transactions
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