714. best time to buy and sell stock with transaction fee

Medium

https://leetcode.com/problems/best-time-to-buy-and-sell-stock-with-transaction-fee/

Your are given an array of integers prices, for which the i-th element is the price of a given stock on day i; and a non-negative integer feerepresenting a transaction fee.

You may complete as many transactions as you like, but you need to pay the transaction fee for each transaction. You may not buy more than 1 share of a stock at a time (ie. you must sell the stock share before you buy again.)

Return the maximum profit you can make.

Example 1:

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

方法:

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class (object):
def maxProfit(self, prices, fee):
"""
:type prices: List[int]
:type fee: int
:rtype: int
"""
if len(prices)<=1:
return 0
sell = [0]*len(prices)
buy = [0]*len(prices)
buy[0] = -prices[0]-fee
for i in range(1, len(prices)):
sell[i] = max(sell[i-1], buy[i-1]+prices[i])
buy[i] = max(sell[i-1]-prices[i]-fee, buy[i-1])
return sell[-1]