We are given N jobs, and their starting and ending times. We can do two jobs simultaneously at a particular moment. If one job ends at the same moment some other show starts then we can’t do them. We need to check if it is possible to complete all the jobs or not.
Input : Start and End times of Jobs 1 2 2 3 4 5 Output : Yes By the time third job starts, both jobs are finished. So we can schedule third job. Input : Start and End times of Jobs 1 5 2 4 2 6 1 7 Output : No All 4 jobs needs to be scheduled at time 3 which is not possible.
We first sort the jobs according to their starting time. Then we start two jobs simultaneously and check if the starting time of third job and so on is greater than the ending time of and of the previous two jobs.
The C++ implementation the above idea is given below.
An alternate solution is to find maximum number of jobs that needs to be scheduled at any time. If this count is more than 2, return false. Else return true.
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