3
This is the fifth problem from PRIMES $2022$:
(i) Describe an algorithm to find the closed ball (disk) of smallest radius containing a given finite set of points $(x_i, y_i), i = 1, \ldots, n$, in $\mathbb{R}^2$.
(ii) Do the same for points $(x_i, y_i, z_i), i = 1, \ldots, n$, in $\mathbb{R}^3$....