3. An airline that operates between Delhi (A) and Kolkata (B) has time table as shown below. Crews must have a minimum layover of 5 hours between flights. Obtain the pairing of flights that minimizes layover time away from home. Note that crews flying from A to B and back can be based either at A or at B. For any given pairing, the crew will be based at the city that results in smaller layover. Delhi - Kolkata Flight no. 1 2 3 4 56 Departure 6.00 am 7.30 am 10.30 am 2.00 pm 6.00 pm 11.30 pm Arrival 7.00 am 8.30 am 11.30 am 3.00 pm 7.00 pm 0.30 am Jaipur - Kolkata Departure 8.00 am 9.00 am 11.30 am 3.00 pm 7.30 pm 10.00 pm Flight no. 101 102 103 104 105 106 Arrival 9.15 am 10.15 am 0.45 pm 4.15 pm 8.45 pm 11.15 pm