While purchasing certain items, a discount of 10% is offered if the quantity purchased is more than 1000. If the quantity and price per item are input, write a program to calculate the total expenses.

Input

The first line contains an integer T, total number of test cases. Then follow T lines, each line contains integers quantity and price.

Output
Output the total expenses while purchasing items.

Constraints

1 ≤ T ≤ 1000
1 ≤ quantity,price ≤ 100000

Example

Input

3
100 120
10 20
1200 20

Output

12000.000000
200.000000
21600.000000

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