Universal bus service operates seven days in a week. A trip from Delhi to Rajpura takes six hours by bus. A typical time table of the bus service in both directions is given below. Delhi - Mumbai Mumbai - Delhi Flight No Departure Arrival a 06.00 12.00 b 07.30 13.30 c 11.30 17.30 d 19.00 01.00 e 00.30 06.30                    Flight No Departure Arrival 1 05.30 11.30 2 09.00 15.00 3 15.00 21.00 4 18.30 00.30 5 00.00 06.00 The cost of providing this service by the transport company depends upon the time spent by the bus crew (driver and conductor) away from their places in addition to service times. There are five crews. There is a constraint that every crew should be provided with more than 4 hours of rest before the return trip and should not wait for more than 24 hours for the return trip. The company has residential facilities for the crew of Delhi as well as of Rajpura. Find which line of service be connected with which other line so as to reduce the waiting time to the minimum.

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Universal bus service operates seven days in a week. A trip from Delhi to Rajpura takes six hours by bus. A typical time table of the bus service in both directions is given below.

Delhi - Mumbai Mumbai - Delhi

Flight No Departure Arrival

a 06.00 12.00

b 07.30 13.30

c 11.30 17.30

d 19.00 01.00

e 00.30 06.30                    Flight No Departure Arrival

1 05.30 11.30

2 09.00 15.00

3 15.00 21.00

4 18.30 00.30

5 00.00 06.00

The cost of providing this service by the transport company depends upon the time spent by the bus crew (driver and conductor) away from their places in addition to service times. There are five crews. There is a constraint that every crew should be provided with more than 4 hours of rest before the return trip and should not wait for more than 24 hours for the return trip. The company has residential facilities for the crew of Delhi as well as of Rajpura. Find which line of service be connected with which other line so as to reduce the waiting time to the minimum.

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