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.