I. Deer is Better! @ Open Ural SU Championship 2009 @ Timus Online Judge

I. Deer is Better!

Time limit: 1.0 second
Memory limit: 64 MB

A crow is sitting on a branch with a piece of cheese in its mouth.
A fox is running by:
“Crow, are you going to the election?”
“No!”
The cheese falls down. The crow sits thinking:
“Would anything have changed had I said yes?”

A Chukcha set out to go to the election. There are l kilometers between his yaranga and the polling station. His deer run so that they cover every k-kilometer segment of the way in exactly h hours. What is the minimal and maximal time in which the Chukcha will be able to perform his civic duty?

Input

The only input line contains space-separated integers l, k, and h (1 ≤ k ≤ l ≤ 1000; 1 ≤ h ≤ 1000).

Output

Output the minimal and maximal time in which Chukcha can get from his yaranga to the polling station, accurate to at least 10^–5. The numbers must be separated with a space.

Sample

input	output
30 10 1	3.00000000 3.00000000

Problem Author: Sergey Pupyrev (prepared by Daniil Ayzenshteyn)
Problem Source: XIV Open USU Championship