How to Solve Best Time to Buy and Sell Stock V Problem
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Best Time to Buy and Sell Stock V
You are given an integer array prices where prices[i] is the price of a stock in dollars on the ith day, and an integer k. You are allowed to make at most k transactions, where each transaction can be...
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Understanding the Best Time to Buy and Sell Stock V Problem
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Problem Statement
You are given an integer array prices where prices[i] is the price of a stock in dollars on the ith day, and an integer k. You are allowed to make at most k transactions, where each transaction can be either of the following: Normal transaction: Buy on day i, then sell on a later day j where i < j. You profit prices[j] - prices[i]. Short selling transaction: Sell on day i, then buy back on a later day j where i < j. You profit prices[i] - prices[j]. Note that you must complete each transaction before starting another. Additionally, you can't buy or sell on the same day you are selling or buying back as part of a previous transaction. Return the maximum total profit you can earn by making at most k transactions.
Best Time to Buy and Sell Stock V
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Examples
prices = [1,7,9,8,2], k = 2
14
We can make $14 of profit through 2 transactions: A normal transaction: buy the stock on day 0 for $1 then sell it on day 2 for $9. A short selling transaction: sell the stock on day 3 for $8 then buy back on day 4 for $2.
prices = [12,16,19,19,8,1,19,13,9], k = 3
36
We can make $36 of profit through 3 transactions: A normal transaction: buy the stock on day 0 for $12 then sell it on day 2 for $19. A short selling transaction: sell the stock on day 3 for $19 then buy back on day 4 for $8. A normal transaction: buy the stock on day 5 for $1 then sell it on day 6 for $19.
Constraints
2 <= prices.length <= 103
1 <= prices[i] <= 109
1 <= k <= prices.length / 2
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