IPO
Explore how to maximize an investor's capital by selecting up to k profitable projects with specific capital requirements. Learn to apply heap data structures to efficiently solve this optimization problem and understand how profits increase available capital dynamically.
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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:
kcprofits.lengthcapitals.lengthprofits[i]capitals[i]
Examples
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:
IPO
What is the maximum capital for the following input?
k
c
capitals
profits
Figure it out!
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Try it yourself
Implement your solution in the following coding playground.
int MaximumCapital(int c, int k, vector<int> capitals, vector<int> profits){// Replace this placeholder return statement with your codereturn -1;}