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Best Time to Buy and Sell Stock with Transaction Fee

Updated: Mar 24, 2021

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).




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

Solution:

class Solution {
    public int maxProfit(int[] prices, int fee) {
       int havingstock,nothavingstock;
        havingstock = -prices[0];
        nothavingstock =0;
        
        for(int i=1;i<prices.length;i++)
        {
            havingstock = Math.max(havingstock,nothavingstock-prices[i]);
            nothavingstock = Math.max(nothavingstock,havingstock+prices[i]-fee);
        }
        return nothavingstock;
    }
} 



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