Job Scheduling with two jobs allowed at a time

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.

Examples:

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 implementation the above idea is given below.

C++

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// CPP program to check if all jobs can be scheduled
// if two jobs are allowed at a time.
#include <bits/stdc++.h>
using namespace std;
  
bool checkJobs(int startin[], int endin[], int n)
{
    // making a pair of starting and ending time of job
    vector<pair<int, int> > a;
    for (int i = 0; i < n; i++)
        a.push_back(make_pair(startin[i], endin[i]));
  
    // sorting according to starting time of job
    sort(a.begin(), a.end());
  
    // starting first and second job simultaneously
    long long tv1 = a[0].second, tv2 = a[1].second;
  
    for (int i = 2; i < n; i++) {
          
        // Checking if starting time of next new job
        // is greater than ending time of currently
        // scheduled first job
        if (a[i].first >= tv1)
        {
            tv2 = tv1;
            tv1 = a[i].second;
        }
          
        // Checking if starting time of next new job
        // is greater than ending time of ocurrently
        // scheduled second job
        else if (a[i].first >= tv2)
            tv2 = a[i].second;
  
        else
            return false;
    }
    return true;
}
  
// Driver code
int main()
{
    int startin[] = { 1, 2, 4 }; // starting time of jobs
    int endin[] = { 2, 3, 5 }; // ending times of jobs
    int n = sizeof(startin) / sizeof(startin[0]);
    cout << checkJobs(startin, endin, n);
    return 0;
}

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Python3

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# Python3 program to check if all 
# jobs can be scheduled if two jobs 
# are allowed at a time. 
  
def checkJobs(startin, endin, n): 
  
    # making a pair of starting and
    # ending time of job 
    a = [] 
    for i in range(0, n):
        a.append([startin[i], endin[i]])
          
    # sorting according to starting
    # time of job 
    a.sort()
  
    # starting first and second job 
    # simultaneously 
    tv1 = a[0][1]
    tv2 = a[1][1]
  
    for i in range(2, n): 
          
        # Checking if starting time of next
        # new job is greater than ending time 
        # of currently scheduled first job 
        if (a[i][0] >= tv1) :
  
            tv2 = tv1 
            tv1 = a[i][1
  
        # Checking if starting time of next 
        # new job is greater than ending time 
        # of ocurrently scheduled second job 
        elif (a[i][0] >= tv2) :
            tv2 = a[i][1
  
        else:
            return 0
      
    return 1
  
# Driver Code 
if __name__ == '__main__'
    startin = [1, 2, 4] # starting time of jobs 
    endin = [2, 3, 5] # ending times of jobs 
    n = 3
    print(checkJobs(startin, endin, n))
  
# This code is contributed by
# Shubham Singh(SHUBHAMSINGH10)

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Output:

1

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.

This article is contributed by Sarthak Kohli. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

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Improved By : SHUBHAMSINGH10



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