The various stock prices of an item during various points throughout the day are given in this text. What is the maximum profit you can get if you are allowed to perform at most two buys and at most two sells?
Details and Assumptions
You can only buy another stock if you have sold the one you bought previously.
As an explicit example if the stock prices are
[2, 4, 5, 6, 9, 5, 4, 3, 8] you buy at \(2\) and sell at \( 9\), and you buy another stock at \(3\) and sell at \(8\). for a max profit of \(12\)
[8, 7, 5, 4, 3, 2] there will be no profit, as the value of the stock is decreasing with time.
The stock prices are sequential with respect to time, so that you can only buy or sell only the stock at hand.