# Practice on Toph

Participate in exhilarating programming contests, solve unique algorithm and data structure challenges and be a part of an awesome community.

# HAKA-LAKA King

By Islam_Rafat · Limits 1s, 512 MB

Alice and Bob are participating for this year’s HAKA-LAKA contest. Both of them qualified for the final with their talent. Now in the final, they got a very easy geometry problem to solve. Whoever can solve the problem will be this year’s HAKA-LAKA King. So the problem requires one to find the radius of a circle where $AB$ and $CD$ is perpendicular and the length of $OA$, $OB$, $OD$ are given. Bob doesn't know how to solve this problem so this is the golden opportunity for Alice to win. Since you’re Alice’s friend, help Alice to solve the problem.

## Input

Every test will contain 3 integers $OA$, $OB$, $OD$ $\leq 5000$

## Output

You have to print the answer as per statement.

Your answer will be considered correct if its absolute or relative error doesn't exceed $10^{-6}$.

## Sample

InputOutput
20 50 71

45.1092377973


### Statistics

96% Solution Ratio

Nowshin_SEarliest, Oct '20

Nowshin_SFastest, 0.0s

TurinhstuLightest, 0 B

mdvirusShortest, 84B