Job Sequencing
Detailed guide and Python implementation for the 'Job Sequencing' problem.
Problem Statement
Write a function job_scheduling(jobs) that takes a list of tuples jobs where each tuple is (job_id, deadline, profit). Each job takes 1 unit of time to complete. Find the maximum profit and the number of jobs completed, and return them as a tuple (job_count, max_profit).
- •1 <= len(jobs) <= 10^4
- •1 <= deadline <= 100
- •1 <= profit <= 1000
Examples
job_scheduling([(1, 4, 20), (2, 1, 10), (3, 1, 40), (4, 1, 30)])
(2, 60)
We can do job 3 at time 1 and job 1 at time 2. Total profit is 40 + 20 = 60.
job_scheduling([(1, 2, 100), (2, 1, 19), (3, 2, 27), (4, 1, 25), (5, 3, 15)])
(3, 142)
We can do job 1, 3, and 5 for a total profit of 100 + 27 + 15 = 142.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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