Problem D
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