Transport Dilemma#11303
Petryk is running late for a movie at the cinema, so he wants to choose the fastest way to the shopping mall he needs.
Since he is standing right next to public transport stops, he knows that the nearest bus will arrive in d_b minutes, the trip will take t_b minutes, and walking from the bus stop to the shopping mall will take w_b minutes.
Petryk also has access to the metro, where waiting for the train takes d_m minutes, the ride takes t_m minutes, and walking from the metro station to the shopping mall takes w_m minutes.
Considering the urgency of the trip, he is also considering a taxi, which according to the mobile app will arrive in d_t minutes, and the ride will take t_t minutes.
Please help Petryk determine which mode of transport he should use to get to the shopping mall as quickly as possible.
If Petryk has several options to get to the shopping mall in the shortest time, he will choose the cheapest option. The bus is cheaper than the metro, and the metro is cheaper than the taxi.
The first line contains three integers d_b, t_b, and w_b (1 \le d_b, t_b, w_b \le 10^8).
The second line contains three integers d_m, t_m, and w_m (1 \le d_m, t_m, w_m \le 10^8).
The third line contains two integers d_t and t_t (1 \le d_t, t_t \le 10^8).
Print "Bus" if Petryk will use the bus, "Metro" if the metro, "Taxi" if the taxi (the answer should be printed without quotes).
Example 1
Example 2
Example 3
Example 16
Explanation for the first example.
The bus waiting time is 1 minute, the ride takes 3 minutes, and walking from the stop takes 2 minutes, which results in 6 minutes total for this route.
The metro waiting time is 2 minutes, the ride takes 10 minutes, and walking from the station takes 1 minute, which results in 13 minutes total for this route.
The taxi waiting time is 20 minutes, which already exceeds the time required for other transport options.
The bus is the optimal mode of transport in terms of time in this case.
Explanation for the second example.
Similar to the previous example, the total travel time can be calculated as the sum of waiting time, travel time, and walking time to the shopping mall. For the bus, this value is 100+10+15=125, for the metro 10+5+5=20, and for the taxi 15+5=20. In this case, both metro and taxi are optimal, but since metro is cheaper than taxi, Petryk will choose the metro.
Explanation for the third example.
The total travel time by bus is 10+10+7=27, by metro 3+5+20=28, by taxi 3+5=8. Therefore, the answer is taxi as the only fastest mode of transport.