For each test case, output a single number on a separate line~--- the maximum area of the convex hull of this set of points, if any of the white points can be moved by no more than $r$.

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

Formally, let your answer be $a$, and the jury's answer be $b$. Your answer will be accepted if and only if $\frac{|a - b|}{\max{(1, |b|)}} \le 10^{-6}$.