[leetcode] problem 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

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.

Note

  • 0 < prices.length <= 50000.
  • 0 < prices[i] < 50000.
  • 0 <= fee < 50000.

Code

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// sell[i]: Max profit till index i. The series of transaction is ending with a sell.
// buy[i] = max(buy[i - 1], sell[i - 1] - prices[i])
// sell[i] = max(sell[i - 1], buy[i - 1] + prices[i] - fee)
public int (int[] prices, int fee) {
if (prices == null || prices.length <= 1)
return 0;

int b0, b1 = -prices[0];
int s0 = 0, s1 = 0;

for (int i = 1; i < prices.length; i++) {
b0 = Math.max(b1, s1 - prices[i]);
s0 = Math.max(s1, b1 + prices[i] - fee);

b1 = b0;
s1 = s0;
}

return s0;
}