> For the complete documentation index, see [llms.txt](https://garylai.gitbook.io/algorithm-and-data-structure/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://garylai.gitbook.io/algorithm-and-data-structure/classic-problems/best-time-to-buy-and-sell-stock/best-time-to-buy-and-sell-stock-iii.md).

# 123. Best Time to Buy and Sell Stock III

[123. Best Time to Buy and Sell Stock III](https://leetcode.com/problems/best-time-to-buy-and-sell-stock-iii/)

```python
Final Profit = (Initial Profit — Buying Price) + Selling Price
```

```python
class Solution:
    def maxProfit(self, prices: List[int]) -> int:
        firstBuy, firstSell = float('-inf'), 0
        secondBuy, secondSell = float('-inf'), 0

        for price in prices:
            firstBuy = max(firstBuy, -price)
            firstSell = max(firstSell, firstBuy + price)
            secondBuy = max(secondBuy, firstSell - price)
            secondSell = max(secondSell, secondBuy + price)

        return secondSell
```