Repeating Decimal

For this problem, write a program that reports the decimal value of various integer fractions.

Input

Input consists of up to $100$ lines. Each line contains three integers: $a$, $b$ and $c$. The constraints are: $1 \le a < b \le 10^6$ and $1 \le c \le 10\, 000$. Input ends at the end of file.

Output

For each input line, output a line giving the first $c$ fractional digits of the decimal representation for $\frac{a}{b}$. Truncate your result; don’t round.

Sample Input 1 Sample Output 1
3 7 10
199 200 1
9 35 25
7 10 3
0.4285714285
0.9
0.2571428571428571428571428
0.700