Time

10:49:13
11 Feb 2012
ACM-ICPC Thailand Southern Region Programming Contest 2011
Left: 4 hours 11 minutes
End: 11.02.2012 15:00
Leader: Informatimukas
Five for week 22
Left: 11 hours 11 minutes
End: 11.02.2012 22:00
Leader: NuM
Version for print

Big accuracy

   The rational fraction m/n is given. Write it in the decimal notation with k digits after the decimal point.


Specifications

   Input

   Three numbers m, n, k are written in one line. 0 < m, n100, 0k1000.

   Output

   Print k digits after the decimal point of the given number.


Problem information

Time Limit: 1 seconds
Memory Limit: 64 MB
Balls for the passed test: 10
Complexity: 41% 540/911

Example

Example input

1 2 3

Example output

0.500


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