# Ellipse

Time Limit: 2 Seconds

Memory Limit: 65536 KB

## Description

There is an beautiful ellipse whose curve equation is:

.

There is a parallelogram named P inscribed in this ellipse. At the same time, the parallelogram P is externally tangent to some circle center at the origin (0,0).

Now your task is to output the maximum and minimum area of P among all possible conditions.

## Input

The input consists of multiple test cases.

For each test case, there is exactly one line consists of two integers a and b. 0 < b <= a <= 109

## Output

For each test case, output one line of two one-space splited numbers: the maximum area and the minimum area. The absolute or relative error of the coordinates should be no more than 10-6.

## Sample Input

1 1


## Sample Output

2 2


None

None