Given the stock price of N days, the trader is allowed to make at most K transactions, where a new transaction can only start after the previous transaction is complete. You may complete at most k transactions. The cost of a stock on each day is given in an array, find the max profit that you can make by buying and selling in those days. We use cookies to ensure you have the best browsing experience on our website. By using our site, you In this post, we are only allowed to make at max k transactions. When tax considerations aren't a factor, investors can buy and sell shares as many times as they want. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Maximum profit by buying and selling a share at most K times | Greedy Approach, Maximum profit by buying and selling a share at most k times, Finding sum of digits of a number until sum becomes single digit, Program for Sum of the digits of a given number, Compute sum of digits in all numbers from 1 to n, Count possible ways to construct buildings, Maximum profit by buying and selling a share at most twice, Maximum difference between two elements such that larger element appears after the smaller number, Given an array arr[], find the maximum j – i such that arr[j] > arr[i], Sliding Window Maximum (Maximum of all subarrays of size k), Sliding Window Maximum (Maximum of all subarrays of size k) using stack in O(n) time, Next greater element in same order as input, Maximum product of indexes of next greater on left and right, Stack | Set 4 (Evaluation of Postfix Expression), Write a program to reverse an array or string, Find the smallest and second smallest elements in an array, Stack Data Structure (Introduction and Program), Maximum profit by buying and selling a stock at most twice | Set 2, Maximum profit after buying and selling the stocks, Maximize profit in buying and selling stocks with Rest condition, Maximize the profit by selling at-most M products, Maximum profit by selling N items at two markets, Find Selling Price from given Profit Percentage and Cost, Find cost price from given selling price and profit or loss percentage, Maximize the profit after selling the tickets, Sum of all numbers formed having 4 atmost X times, 5 atmost Y times and 6 atmost Z times, Coin game of two corners (Greedy Approach), Travelling Salesman Problem | Greedy Approach, Find the maximum amount that can be collected by selling movie tickets, Maximum inversions in a sequence of 1 to N after performing given operations at most K times, Calculate the loss incurred in selling the given items at discounted price, Count pairs (p, q) such that p occurs in array at least q times and q occurs at least p times, Minimum possible sum of array elements after performing the given operation, Check if a path exists in a tree with K vertices present or are at most at a distance D, Given an array A[] and a number x, check for pair in A[] with sum as x, Python | Using 2D arrays/lists the right way, Dijkstra's shortest path algorithm | Greedy Algo-7, Prim’s Minimum Spanning Tree (MST) | Greedy Algo-5, Kruskal’s Minimum Spanning Tree Algorithm | Greedy Algo-2, Write a program to print all permutations of a given string, Write Interview Examples: There are various versions of the problem. The task is to find out … 188. Design an algorithm to find the maximum profit. If we are allowed to buy and sell only once, then we can use the Maximum difference between the two elements algorithm. NOTE: You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again). These serve as the current buying and selling prices respectively. Writing code in comment? If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. So, if we have already calculated max(profit[t-1][j] – price[j]) for all j in range [0, i-2], we can calculate it for j = i – 1 in constant time. profit[t][i-1] which represents not doing any transaction on the ith day. Yes you can. 7. Note that you cannot buy on day 1, buy on day 2 and sell them later, as you are engaging multiple transactions at the same time. Don’t stop learning now. Input: Price = [10, 22, 5, 75, 65, 80] K = 2 Output: 87 Trader earns 87 as sum of 12 and 75 Buy at price 10, sell at 22, buy at 5 and sell at 80 Input: Price = [12, 14, 17, 10, 14, 13, 12, 15] K = 3 Output: 12 Trader earns 12 as the sum of 5, 4 and 3 Buy at price 12, sell at 17, buy at 10 and sell at 14 and buy at 12 and sell at 15 Input: Price = [100, 30, 15, 10, 8, 25, 80] K = 3 Output: 72 Only one transaction. In order to sell shares on ith day, we need to purchase it on any one of [0, i – 1] days. With the difference of 3 days, if we buy stock of rupees 1 and sell it rupees 8 with the difference of 3 days which mean purchase on day 2 and sell it after 3 days then maximum profit after paying the transaction fee of rupees 2 i.e.8-1-2=5 we will get the profit of 5 rupees. There is no limit to the number of times you can buy a stock and sell it, buy it back and sell it again. Say you have an array for which the i th element is the price of a given stock on day i.. Design an algorithm to find the maximum profit. Black Friday, Cyber Monday and the Christmas season are prime examples of … acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Finding sum of digits of a number until sum becomes single digit, Program for Sum of the digits of a given number, Compute sum of digits in all numbers from 1 to n, Count possible ways to construct buildings, Maximum profit by buying and selling a share at most twice, Maximum profit by buying and selling a share at most k times, Maximum difference between two elements such that larger element appears after the smaller number, Given an array arr[], find the maximum j – i such that arr[j] > arr[i], Sliding Window Maximum (Maximum of all subarrays of size k), Sliding Window Maximum (Maximum of all subarrays of size k) using stack in O(n) time, Next greater element in same order as input, Maximum product of indexes of next greater on left and right, Stack | Set 4 (Evaluation of Postfix Expression), Top 20 Dynamic Programming Interview Questions, Maximum profit by buying and selling a share at most K times | Greedy Approach, Maximum profit by buying and selling a stock at most twice | Set 2, Maximum profit after buying and selling the stocks, Find Selling Price from given Profit Percentage and Cost, Find cost price from given selling price and profit or loss percentage, Sum of all numbers formed having 4 atmost X times, 5 atmost Y times and 6 atmost Z times, Maximum inversions in a sequence of 1 to N after performing given operations at most K times, Calculate the loss incurred in selling the given items at discounted price, Maximum profit such that total stolen value is less than K to get bonus, Times required by Simple interest for the Principal to become Y times itself, Minimum possible value T such that at most D Partitions of the Array having at most sum T is possible, Loss when two items are sold at same price and same percentage profit/loss, Program to calculate the profit sharing ratio, Program to find the profit or loss when CP of N items is equal to SP of M items, Maximize profit when divisibility by two numbers have associated profits, Combinatorial Game Theory | Set 2 (Game of Nim), Minimum time to finish tasks without skipping two consecutive, Travelling Salesman Problem | Set 1 (Naive and Dynamic Programming), Write a program to print all permutations of a given string, Set in C++ Standard Template Library (STL), Write Interview Keep doing this until your funds run out prices respectively share the link here at max k transactions to! 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