Best Time to Buy and Sell Stock with Transaction

Category

DP - Multidimensional

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Difficulty

Medium

Index

Key Ideas

The key idea to solve this problem is to use dynamic programming to keep track of the maximum profit that can be obtained at each day, considering both buying and selling transactions.

Problem Number

714

Problem Summary

The problem "Best Time to Buy and Sell Stock with Transaction" (Problem Number: 714) is a medium difficulty problem in the Dynamic Programming category. The goal is to find the maximum profit that can be obtained by buying and selling stocks, with the restriction that a transaction fee is charged for each buy or sell action. A key pitfall to watch out for is considering the transaction fee in the calculation of the profit, as it affects the overall outcome.

Solution Summary

The best solution for the problem "Best Time to Buy and Sell Stock with Transaction" involves using dynamic programming. It requires keeping track of the minimum stock price and the maximum profit at each day. By iterating through the stock prices, we can update the minimum price and calculate the maximum profit by comparing it with the current price minus the minimum price. This approach allows us to find the maximum profit that can be obtained by buying and selling the stock with at most one transaction. It has a time complexity of O(n) and a space complexity of O(1), making it an efficient solution.