How to Solve Maximum Profit in Job Scheduling Problem
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Maximum Profit in Job Scheduling
We have n jobs, where every job is scheduled to be done from startTime[i] to endTime[i], obtaining a profit of profit[i]. You're given the startTime, endTime and profit arrays, return the maximum prof...
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Understanding the Maximum Profit in Job Scheduling Problem
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Problem Statement
We have n jobs, where every job is scheduled to be done from startTime[i] to endTime[i], obtaining a profit of profit[i]. You're given the startTime, endTime and profit arrays, return the maximum profit you can take such that there are no two jobs in the subset with 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.
Maximum Profit in Job Scheduling
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Examples
startTime = [1,2,3,3], endTime = [3,4,5,6], profit = [50,10,40,70]
120
The subset chosen is the first and fourth job. Time range [1-3]+[3-6] , we get profit of 120 = 50 + 70.
startTime = [1,2,3,4,6], endTime = [3,5,10,6,9], profit = [20,20,100,70,60]
150
The subset chosen is the first, fourth and fifth job. Profit obtained 150 = 20 + 70 + 60.
startTime = [1,1,1], endTime = [2,3,4], profit = [5,6,4]
6
Constraints
1 <= startTime.length == endTime.length == profit.length <= 5 * 104
1 <= startTime[i] < endTime[i] <= 109
1 <= profit[i] <= 104
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