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Best Time to Buy and Sell Stock IV

Updated: Mar 24, 2021

You are given an integer array prices where prices[i] is the price of a given stock on the ith day, and an integer k.


Find the maximum profit you can achieve. You may complete at most k transactions.


Note: You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).


Example 1:

Input: k = 2, prices = [2,4,1]
Output: 2
Explanation: Buy on day 1 (price = 2) and sell on day 2 (price = 4), profit = 4-2 = 2.

Example 2:

Input: k = 2, prices = [3,2,6,5,0,3]
Output: 7
Explanation: Buy on day 2 (price = 2) and sell on day 3 (price = 6), profit = 6-2 = 4. Then buy on day 5 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3.

Constraints:

  • 0 <= k <= 100

  • 0 <= prices.length <= 1000

  • 0 <= prices[i] <= 1000

Solution:


class Solution 
{
    public int maxProfit(int k, int[] prices)
     {
        if(prices.length<2) return 0;
       int havingstock;
        int[][] nothavingstock = new int[k+1][prices.length+1];
               
        for(int t=1;t<=k;t++)
        {
        havingstock = -prices[0];
        for(int i=1;i<prices.length;i++)
        {
            havingstock = Math.max(havingstock,nothavingstock[t-1][i-1]-prices[i]);
            nothavingstock[t][i] = Math.max(nothavingstock[t][i-1],havingstock+prices[i]);
        }
                  
        }
        return nothavingstock[k][prices.length-1];
    }
}





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