Train ticket with a default coach

Problem

A railway counter books tickets. If the passenger does not name a coach, the ticket is for Sleeper (SL). The fare is the distance times the rate per km of the coach, plus a booking charge of 20: SL 1, 3A 2, 2A 3 and 1A 5 rupees per km.

Write a class Ticket with fields passenger, distance, coach and fare. The constructor Ticket(String passenger, int distance, String coach) works out the fare, and Ticket(String passenger, int distance) calls it with "SL".

Input, output and limits

Input: The first line has n. Each of the next n lines has a one-word name and the distance, and sometimes a coach.
Output: n lines: passenger coach fare.
Constraints: 1 ≤ n ≤ 1000
1 ≤ distance ≤ 5000
A coach, when given, is SL, 3A, 2A or 1A

Examples

Example

Input

3
Asha 100
Ravi 250 3A
Meena 40 1A

Output

Asha SL 120
Ravi 3A 520
Meena 1A 220

Asha named no coach, so she travels Sleeper: 100 × 1 + 20.

Hints

Try the problem first. Open one hint at a time.

Hint 1

The two-argument constructor is one line: this(passenger, distance, "SL");.

Hint 2

Work out the fare inside the full constructor, so every ticket gets it however it was built.

Hint 3

A small method int ratePerKm() keeps the rate table in one place.

Write your Java code, run it on the examples and submit it to hidden tests.

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