def job_sequencing_with_deadlines(jobs: list) -> list: """ Function to find the maximum profit by doing jobs in a given time frame Args: jobs [list]: A list of tuples of (job_id, deadline, profit) Returns: max_profit [int]: Maximum profit that can be earned by doing jobs in a given time frame Examples: >>> job_sequencing_with_deadlines( ... [(1, 4, 20), (2, 1, 10), (3, 1, 40), (4, 1, 30)]) [2, 60] >>> job_sequencing_with_deadlines( ... [(1, 2, 100), (2, 1, 19), (3, 2, 27), (4, 1, 25), (5, 1, 15)]) [2, 127] """ # Sort the jobs in descending order of profit jobs = sorted(jobs, key=lambda value: value[2], reverse=True) # Create a list of size equal to the maximum deadline # and initialize it with -1 max_deadline = max(jobs, key=lambda value: value[1])[1] time_slots = [-1] * max_deadline # Finding the maximum profit and the count of jobs count = 0 max_profit = 0 for job in jobs: # Find a free time slot for this job # (Note that we start from the last possible slot) for i in range(job[1] - 1, -1, -1): if time_slots[i] == -1: time_slots[i] = job[0] count += 1 max_profit += job[2] break return [count, max_profit] if __name__ == "__main__": import doctest doctest.testmod()