Solution: IPO
Explore how to solve the project selection problem by using min-heaps and max-heaps to optimize capital growth. Understand step-by-step how to select projects based on capital requirements and profits, leveraging heap data structures to achieve efficient time complexity and maximize final capital.
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...