Leetcode Problem 188. Best Time to Buy and Sell Stock IV

188. Best Time to Buy and Sell Stock IV

Leetcode Solutions

Dynamic Programming Approach

  1. Initialize a 3D array dp with dimensions [days][transactions][2] to store the state of the maximum profit.
  2. Set initial states dp[0][0][0] to 0 and dp[0][1][1] to -prices[0].
  3. Iterate over each day i from 1 to n-1.
  4. For each day i, iterate over each transaction j from 1 to k.
  5. Update the state for holding the stock: dp[i][j][1] = max(dp[i-1][j][1], dp[i-1][j-1][0] - prices[i]).
  6. Update the state for not holding the stock: dp[i][j][0] = max(dp[i-1][j][0], dp[i-1][j][1] + prices[i]).
  7. The final answer is the maximum of dp[n-1][j][0] for all j from 0 to k.
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