LeetCode: 121. Best Time to Buy and Sell Stock

121. Best Time to Buy and Sell Stock

121. Best Time to Buy and Sell Stock

Summary

You are given an array prices where prices[i] is the price of a stock on the i-th day.

You want to maximize your profit by choosing a single day to buy one stock and choosing a different day in the future to sell that stock.

Return the maximum profit you can achieve from this transaction. If you cannot achieve any profit, return 0.

Approach

Use a prefix-minimum-style approach.

For each day, compare the current price with the minimum price seen so far. The profit on that day is current price - minimum past price, and the answer is the maximum such profit.

Function

Initialization:

  • min_price = prices[0]
  • best = 0

For each price p in prices:

  • best = max(best, p - min_price)
  • min_price = min(min_price, p)

Return best.

Complexity

Time complexity: O(N) Space complexity: O(1)