Problem K
Simple Arithmetic

You are given three integers $a, b, c$ ($1 \le a, b, c \le 10^9$). Compute $a \cdot b / c$, with an absolute precision of $10^{-6}$.

Input

The first and only line of input contains the three integers $a, b, c$ separated by a single space.

Output

Output a single floating point number. It must differ from $a \cdot b / c$ by at most $10^{-6}$ in absolute value, i.e., it should obey $|x - a \cdot b / c| \le 10^{-6}$.

Constraints

Your solution will be tested on a set of test groups, each worth a number of points. Each test group contains a set of test cases. To get the points for a test group you need to solve all test cases in the test group. Your final score will be the maximum score of a single submission.

3 5 7

2.142857142857142857

9999 9876 1

98750124

123456789 987654321 1

121932631112635269.000000000000000000

123456789 987654321 7

17418947301805038.428571428571428571