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] = 1Selling at prices[3] = 8Buying at prices[4] = 4Selling at prices[5] = 9The total profit is ((8 - 1) - 2) + ((9 - 4) - 2) = 8.
Note:
0 < prices.length <= 50000
.
0 < prices[i] < 50000
.
0 <= fee < 50000
.
class Solution {
public int maxProfit(int[] prices, int fee) {
int T_ik0 = 0, T_ik1 = Integer.MIN_VALUE;
for (int price : prices) {
int T_ik0_old = T_ik0;
// If we want 0 stocks in our hand at end of ith day
// Either take ans from 0 stock i-1th day
// Or take ans from 1 stock i-1th day and sell it
T_ik0 = Math.max(T_ik0, T_ik1 + price);
// If we want 1 stock in our hand at end of ith day
// Either take ans from 1 stock i-1th day
// Or take ans from 0 stock i-1th day and but 1 stock at ith day
// Also we are including fees when we buy stock
T_ik1 = Math.max(T_ik1, T_ik0_old - price - fee);
}
return T_ik0;
}
}
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