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## Learning Opportunities

This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

## Statement

## Goal

You are planning a journey from your current city to a destination city. This involves selecting which routes to take (some routes may be irrelevant to you), as well as choosing between the train and the car, whichever is faster to reach your destination. Make the right decision according to the following benefits and constraints.Train:

- Average speed:

- Average speed when crossing a city:

- Pause at each stop:

- To reach final destination from the final train station :

- To go from your home to the first train station:

Car:

- Average speed:

- Average speed when crossing a city:

Example:

<<Paris ---- 133 km ----> Orléans ---- 218 km -----> Tours>>

Details by train:

- 35 minutes to reach the train station at Paris

- Train starts at 50 km/h for the first 3 km

- Train runs at 284 km/h for the next 127 km

- Train runs at 50 km/h for the 3 km before Orléans

- Train stops at Orléans for 8 minutes

- Train starts at 50 km/h for the first 3 km after Orléans

- Train runs at 284 km/h for the next 212 km

- Train speed decreases to 50 km/h for the last 3 km before arriving at Tours

- 30 minutes to reach your final destination

Time by train => 35 + 3*60/50 + 127*60/284 + 3*60/50 + 8 + 3*60/50 + 212*60/284 + 3*60/50 + 30 = 159.01 minutes (2:39)

Details by car:

- First 7 km at 50 km/h to reach highway

- Average speed of 105 km/h for 119 km to reach Orléans

- To cross Orléans, I drive at 50 km/h for 14 km

- Then average speed of 105 km/h for 204 km to reach Tours

- Arriving at Tours, I drive at 50 km/h for the last 7 km

Time by car: 7*60/50 + 119*60/105 + 14*60/50 + 204*60/105 + 7*60/50=218.17 minutes (3:38)

So it will be faster by train, and the answer is:

**TRAIN 2:39**

Input

line 1: starting city destination : starting city is the city where you come from. destination is the city where you want to go.

line 2: one integer

following lines:city1 and city2 and distance between the cities in km

line 2: one integer

`N`for the number of lines belowfollowing lines:

Output

one line with

**CAR**or**TRAIN**+**duration**to go from starting city to destinationConstraints

Format for the

All cities will appear only one time as starting point and/or end point. (no loop possible)

For all tests, there is only one solution.

values for duration are rounded down: Math.floor() and not Math.ceil()

**duration**:**hh:mm**All cities will appear only one time as starting point and/or end point. (no loop possible)

For all tests, there is only one solution.

values for duration are rounded down: Math.floor() and not Math.ceil()

Example

Input

Paris Tours 2 Paris Orleans 133 Orleans Tours 218

Output

TRAIN 2:39

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