Search⌘ K
AI Features
Home
Courses
Grokking the Coding Interview Patterns in C++

Solution: IPO

Explore how to maximize an investor's capital by selecting up to k profitable projects, starting with limited initial capital. Learn how to use min-heaps and max-heaps to prioritize projects by capital requirements and profits, efficiently updating capital after each selection. This lesson teaches you an optimized approach to solve the IPO problem with improved time and space complexity suitable for coding interviews.

We'll cover the following...

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:

  • 1≤1 \leq k ≤103\leq 10^3

  • 0≤0 \leq c ≤\leq ...