The FORTH programming language does not support floating-point arithmetic
at all. Its author, Chuck Moore, maintains that floating-point calculations are too slow
and most of the time can be emulated by integers with proper scaling. For example, to
calculate the area of the circle with the radius R he suggests to use formula like
R * R * 355 / 113, which is in fact surprisingly accurate. The value of 355 / 113 =
3.14159... is approximating the value of π with the absolute error of only about 10^{-7}.
You are to find the best integer approximation of a given floating-point number A
within a given integer limit L. That is, to find such two integers N and D
(1 ≤ N, D ≤ L) that the value of absolute error |A - N / D| is minimal.

Input file format

The first line of input file contains a floating-point number A with the precision of up to
15 decimal digits. The second line contains the integer limit L.

Output file format

Output file must contain two integers, N and D, separated by space.