Simple Arithmetic

Time limit1sMemory limit1024 MB

Summary

Read three integers a, b, c and print a times b divided by c within an absolute error of 1e-6.

Level: Easy1 of 10
Topics: Math, Implementation
Solved: No attempts yet

Problem

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

Input

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

Output

Output a single real number. It must differ from $a \cdot b / c$ by at most $10^{-6}$ in absolute value, that is, it must satisfy $|x - a \cdot b / c| \le 10^{-6}$ .

Examples4

Example 1
Input
```
3 5 7
```
Expected output
```
2.142857142857142857
```
Example 2
Input
```
9999 9876 1
```
Expected output
```
98750124
```

Example 3

Input

123456789 987654321 1

Expected output

121932631112635269.000000000000000000

Example 4

Input

123456789 987654321 7

Expected output

17418947301805038.428571428571428571