Problem S
Diggy Hole

Image taken from gaming.stackexchange.com

There is an old riddle that is as follows: If four workers take four hours to dig four holes, how long does it take two workers to dig half a hole?

We see that each worker takes four hours to dig a hole, so assuming they can work on the same hole in tandem, the answer should be one hour. The answer to the riddle is however that there is no such thing as half a hole, which is a dumb and stupid answer. Absolute cop out.

Thus, we now solve the actual riddle by giving that $n$ workers take $h$ hours to dig out $x$ cubic metres. We then ask how long it would take $m$ workers to dig out $y$ cubic metres. You may assume all workers work equally hard, they continue working at the same pace indefinitely and that they can work in tandem on the same cubic metres.

Input

The input consists of $5$ lines. The lines contain the integers $n, h, x, m, y$ in that order. The values are always between $1$ and $100$, inclusive.

Output

Print the answer to the updated riddle. As the answer might not be an integer we will consider an answer correct if its absolute or relative error from the correct answer is at most $1\% $. Thus it does not matter how many digits are printed after the decimal point exactly, as long as it is accurate enough.

Scoring

4
4
4
2
1

2.000000000000000

1
2
3
4
5

0.833333333333333