# Ornaments

Your task is to write a program that calculates the length of the string, given the radius $r$ of the circle, the distance $h$ from the knot to the center of the circle, and some multiplier to account for the excess needed to tie the knot.

## Input

The input will contain multiple test cases, up to $200$. Each test case contains on a single line three integers $r$ ($1 \le r \le 10,000$), $h$ ($r \le h \le 10,000$), and $s$ ($0 \le s \le 100$). $s$ denotes the necessary excess string in %. The percentage is relative to what would be needed without accounting for the knot, so if $s = 25$, you should increment the necessary length by $1/4$.

The input will be terminated by a line containing $3$ zeros.

## Output

For each test case, output the length of the needed string, rounded to two decimals.

Sample Input 1 | Sample Output 1 |
---|---|

1 3 10 2 5 8 10 11 0 0 0 0 |
10.43 18.46 63.40 |