Find the maximum profit you can make from a given list of jobs. Dynamic Programming Interview Questions: Maximum Profit in Job Scheduling. Today’s problem is challenging — a classic problem you may have seen in your algorithms courses. For those of you who’ve already seen it, this will serve as a great comprehensive review. If it’s new to you, take your time to digest it all.
Today’s problem is challenging — a classic problem you may have seen in your algorithms courses. For those of you who’ve already seen it, this will serve as a great comprehensive review. If it’s new to you, take your time to digest it all.
Let’s take a look at the problem.
n jobs, where every job is scheduled to be done from
endTime[i], obtaining a profit of
You’re given the
profit arrays. You need to output the maximum profit you can take, such that there are no two jobs in the subset with an overlapping time range.
If you choose a job that ends at time x you will be able to start another job that starts at time x.
startTime = [1,1,1],
endTime = [2,3,4],
profit = [5,6,4]
Before we get into solving this problem, let’s consider a simpler version of it.
Suppose the profit for all jobs is equal. Essentially, this means that completing as many jobs as possible will be our optimal solution (it really doesn’t matter what job you take as long as it’s a job). Does this sound familiar? Bingo — it sounds like a greedy algorithm type of problem!
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