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IPO

Explore how to maximize capital by selecting up to k projects under capital constraints. Learn to apply heaps to optimize project selection, handle profits, and solve dynamic resource allocation problems in coding interviews.

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 nn available projects. Each project 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:

  • 11 \leq k ...