jsumabat is trying to pay off his new car, a Toyota Corolla 2011. Write him a program that determines how much money he needs to pay each month to finish paying off his car in ~m~ months if the principal amount he owes is ~p~ and the rate of interest is ~r~. The monthly payment is calculated using the following formula:
~\frac{p\frac{r}{12}}{1-(1+\frac{r}{12})^{-m}}~

Input

The first line of input is ~p~ ~(1 \le p \le 1\,000\,000)~.
The next line is ~r~ ~(0 < r < 1)~.
The next line is ~m~ ~(1 \le m \le 10\,000)~.

Output

Rounded to 2 decimals and using double precision floating point math, including trailing zeroes, print the monthly payment jsumabat should pay in order to pay off his car in ~m~ months.

Note: Do not use DecimalFormat for this question. Use System.out.printf(). Refer to this documentation)

Sample Input

20000
0.07
48

Sample Output

478.92