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买卖股票的最佳时机 II

Best Time to Buy and Sell Stock II

专题
Algorithmic Programming / 算法编程
难度
L3
来源
Citadel

题目详情

问题:买卖股票的最佳时机 II

考察:数组、贪心

来源:Citadel

链接:https://www.jointaro.com/interviews/questions/best-time-to-buy-and-sell-stock-ii/

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

On each day, you may decide to buy and/or sell the stock. You can only hold at most one share of the stock at any time. However, you can buy it then immediately sell it on the same day.

Find and return the maximum profit you can achieve.

 

Example 1:

Input: prices = [7,1,5,3,6,4]
Output: 7
Explanation: Buy on day 2 (price = 1) and sell on day 3 (price = 5), profit = 5-1 = 4.
Then buy on day 4 (price = 3) and sell on day 5 (price = 6), profit = 6-3 = 3.
Total profit is 4 + 3 = 7.

Example 2:

Input: prices = [1,2,3,4,5]
Output: 4
Explanation: Buy on day 1 (price = 1) and sell on day 5 (price = 5), profit = 5-1 = 4.
Total profit is 4.

Example 3:

Input: prices = [7,6,4,3,1]
Output: 0
Explanation: There is no way to make a positive profit, so we never buy the stock to achieve the maximum profit of 0.

 

Constraints:

  • 1 <= prices.length <= 3 * 104
  • 0 <= prices[i] <= 104
解析

思路:允许多次交易时,只要相邻两天价格上涨,就把这段涨幅加入利润。等价于把每个上升区间的低点买入、高点卖出拆成逐日收益。

复杂度:时间 O(n),空间 O(1)。