Solution: IPO
Explore how to solve the IPO problem by using two heaps to select projects that maximize final capital within constraints. Understand the step-by-step approach of applying min-heap and max-heap to prioritize projects based on capital requirements and profits, and analyze the time and space complexity of the solution.
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...