# 714. 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 fee representing 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:
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.
# Solution
Approach 1: DP with 2 states.
# Code (Python)
Approach 1:
def maxProfit(self, prices: List[int], fee: int) -> int:
if len(prices) < 2:
return 0
# same definition with cooldown
hold = [-prices[0]]
sold = [0]
for price in prices[1:]:
hold.append(max(hold[-1], sold[-1] - price))
sold.append(max(sold[-1], hold[-2] + price - fee))
return sold[-1]
# Code (C++)
Approach 1:
Approach 2: