Electricity bills by connection type

Problem

The electricity board bills home, shop and factory connections. Every bill is units × rate + a fixed charge, but the rate and the fixed charge depend on the type.

Write an abstract class Connection with a constructor that stores units, abstract int rate(), abstract int fixedCharge() and a final int bill(). Write Home (Rs. 5 per unit, no fixed charge), Shop (Rs. 8, Rs. 100) and Factory (Rs. 6, Rs. 500).

Input, output and limits

Input: The first line has t. Each of the next t lines is home u, shop u or factory u.
Output: t lines TYPE units -> Rs. bill (TYPE in capitals), then TOTAL Rs. x.
Constraints: 1 ≤ t ≤ 1000
0 ≤ u ≤ 100000

Examples

Example

Input

3
home 200
shop 200
factory 200

Output

HOME 200 -> Rs. 1000
SHOP 200 -> Rs. 1700
FACTORY 200 -> Rs. 1700
TOTAL Rs. 4400

1000, 1600 + 100 and 1200 + 500.

Hints

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

Hint 1

The formula lives only in bill() in the parent; children give just two numbers.

Hint 2

Each child constructor passes units up with super(units).

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

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