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# Best Time to Buy and Sell Stocks III

Problem Description

Say you have an array, A, for which the ith element is the price of a given stock on day i.

Design an algorithm to find the maximum profit. You may complete at most 2 transactions.

Return the maximum possible profit.

Note: You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).

Problem Constraints
1 <= length(A) <= 7e5
1 <= A[i] <= 1e7

Input Format
The first and only argument is an integer array, A.

Output Format
Return an integer, representing the maximum possible profit.

Example Input
```Input 1:
A = [1, 2, 1, 2]

Input 2:
A = [7, 2, 4, 8, 7]
```

Example Output
```Output 1:
2
Output 2:
6
```

Example Explanation
```Explanation 1:
Day 1 : Sell
Day 3 : Sell

Explanation 2:
Day 3 : Sell
```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
• Hint 1
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• Complete Solution

## Discussion

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