Suppose this is 2030. In Dhaka city the public transportation system consists of one metro rail line and one bus line. The metro goes from station T to R to S to G to H to I, stopping at each station, and then returns, making the same stops in the reverse order. The bus goes from station R to W to L to G to F, stopping at each station and then returns, making the same stops in the reverse order. On each line, there are frequent buses or trains that make stop at each station along the route. During rush hour, there is an express bus on the bus line that stops only at R, L and F and returns, making the same three stops in the reverse order. A passenger can transfer from the metro line or bus line to the other line wherever the bus and metro both stop at a station with the same name. It is not possible to transfer from an express bus to a non-express bus. There is no other means of transportation available on the public transportation system..3 To go on public transportation from F to T, a passenger must