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含手续费的买卖股票最佳时机

Best Time to Buy and Sell Stock with Transaction Fee

专题
Algorithmic Programming / 算法编程
难度
L3
来源
Citadel

题目详情

问题:含手续费的买卖股票最佳时机

考察:数组、动态规划、贪心

来源:Citadel

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

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

Find the maximum profit you can achieve. You may complete as many transactions as you like, but you need to pay the transaction fee for each transaction.

Note:

  • You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).
  • The transaction fee is only charged once for each stock purchase and sale.

 

Example 1:

Input: prices = [1,3,2,8,4,9], fee = 2
Output: 8
Explanation: The maximum profit can be achieved by:
- Buying at prices[0] = 1
- Selling at prices[3] = 8
- Buying at prices[4] = 4
- Selling at prices[5] = 9
The total profit is ((8 - 1) - 2) + ((9 - 4) - 2) = 8.

Example 2:

Input: prices = [1,3,7,5,10,3], fee = 3
Output: 6

 

Constraints:

  • 1 <= prices.length <= 5 * 104
  • 1 <= prices[i] < 5 * 104
  • 0 <= fee < 5 * 104
解析

思路:维护两个状态:手里持股的最大收益和不持股的最大收益。买入会从不持股转为持股,卖出时扣除手续费并转为不持股。

复杂度:时间 O(n),空间 O(1)。