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Given a set of N jobs where each jobi has a deadline and profit associated with it.
Each job takes 1 unit of time to complete and only one job can be scheduled at a time. We earn the profit associated with job if and only if the job is completed by its deadline.
Find the number of jobs done and the maximum profit.
Note: Jobs will be given in the form (Jobid, Deadline, Profit) associated with that Job.
Example 1:
Input: N = 4 Jobs = {(1,4,20),(2,1,10),(3,1,40),(4,1,30)} Output: 2 60 Explanation: Job1 and Job3 can be done with maximum profit of 60 (20+40).
Example 2:
Input: N = 5 Jobs = {(1,2,100),(2,1,19),(3,2,27), (4,1,25),(5,1,15)} Output: 2 127 Explanation: 2 jobs can be done with maximum profit of 127 (100+27).
Your Task :
You don't need to read input or print anything. Your task is to complete the function JobScheduling() which takes an integer N and an array of Jobs(Job id, Deadline, Profit) as input and returns the count of jobs and maximum profit.
Expected Time Complexity: O(NlogN)
Expected Auxilliary Space: O(N)
Constraints:
1 <= N <= 105
1 <= Deadline <= 100
1 <= Profit <= 500
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