Score : $600$ points
Given are $N$ points $(x_i, y_i)$ in a two-dimensional plane.
Find the minimum radius of a circle such that all the points are inside or on it.
Input is given from Standard Input in the following format:
$N$ $x_1$ $y_1$ $:$ $x_N$ $y_N$
Print the minimum radius of a circle such that all the $N$ points are inside or on it.
Your output will be considered correct if the absolute or relative error from our answer is at most $10^{-6}$.
2 0 0 1 0
0.500000000000000000
Both points are contained in the circle centered at $(0.5,0)$ with a radius of $0.5$.
3 0 0 0 1 1 0
0.707106781186497524
10 10 9 5 9 2 0 0 0 2 7 3 3 2 5 10 0 3 7 1 9
6.726812023536805158
If the absolute or relative error from our answer is at most $10^{-6}$, the output will be considered correct.