Instagram link:- / reelcoding
/ @reelcoding
Approach:-
Project Initialization:
Create a list of pairs where each pair contains the capital required and the profit of a project.
Sort this list based on the capital required in ascending order.
Priority Queue for Profits:
Use a max-heap (priority queue with reverse order) to keep track of the maximum profit projects that can be started with the available capital.
Iterate to Select Projects: Iterate up to k times to select up to k projects.
For each iteration, add all projects to the priority queue that can be started with the current available capital.
Select the project with the maximum profit from the priority queue and add its profit to the total available capital.
If the priority queue is empty and no more projects can be started, break out of the loop.
Return the Maximized Capital: Return the total capital after selecting up to
k projects.
Time and Space Complexity
Time Complexity:
Sorting the projects list: O(nlogn).
Inserting and removing from the priority queue: O(klogn).
Overall time complexity is O(nlogn+klogn).
Space Complexity:
The space complexity is O(n) due to the storage of project pairs and the priority queue.
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