Problem Statement

In the world where Raki lives, a year has $A$ days, a week has $B$ days, and $C$ days of each week are holidays.

Raki became curious about the average number of holidays in one year.
Please find the average number of holidays in one year for Raki.

Assume that there are no leap years, public holidays, or the like.

It can be proved that the average number of holidays does not change even if the positions of the holidays within a week change.

Input

$A\ B\ C$

$A$ is the number of days in a year ($1 \le A \le 1000$),
$B$ is the number of days in a week ($1 \le B \le 1000$),
and $C$ is the number of holidays in a week (($0 \le C \le B$).

Output

Output the average number of holidays.
Your answer is accepted if at least one of its absolute error or relative error is at most $10^{-6} $.

Sample

365 7 2

104.28571428

10 20 20

10.00000000

1000 7 0

0.0000000