If you are planning to travel on 18th May go for 17001 till SC take a break and later in the evening take Godavari on 19th to reach VSKP..
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If you are planning to take on 19th May go for 17205/17205-slip only thing with slip is from BZA it waits for lot of time and reach VSKP by 4:45 AM..Else Go till SLO in 17205 and take another train mostly East-coast Exp from there only disadvantage is you would reach around midnight to VSKP.