110. Best Time to Buy and Sell Stock III

HardDynamic Programming

You are given an array prices where prices[i] is the price of a given stock on the ith day. Find the maximum profit you can achieve. You may complete at most two transactions. Note: You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).

Examples

Input: [3,3,5,0,0,3,1,4]

Output: 6

Explanation: Two transactions (+3 and +3) give 6.

Constraints

  • 1 <= prices.length <= 10^5
  • 0 <= prices[i] <= 10^5
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