Solution: IPO
Understand how to maximize an investor's capital by selecting up to k projects based on profit and capital constraints. Explore a step-by-step solution using min-heaps to manage project requirements and max-heaps to prioritize profits, optimizing time and space complexity for effective decision-making.
Statement
An investor is looking to maximize their capital by undertaking a set of profitable projects. Due to limited time and resources, they can complete at most k distinct projects.
There are i has:
A profit of
profits[i]earned upon completion.A minimum capital requirement of
capital[i]needed to start the project.
The investor starts with an initial capital of c. After completing a project, its profit is immediately added to the investor's current capital.
The goal is to choose up to k different projects in a way that maximizes the investor’s final capital. Return the maximum capital achievable after completing these projects.
It is guaranteed that the answer fits within a 32-bit signed integer.
Constraints:
kc...