Challenge: Closest Pair of Points

Closest Pair of Points

In a 2D Euclidean plane, the closest pair of points is the one which has the minimum distance between them.

Reminder: Distance between two points in a 2D Euclidean plane can be calculated using the Euclidean formula:

$\mathrm{\mid }\mathrm{\mid }pq\mathrm{\mid }\mathrm{\mid }=sqrt[(p_x-q_x{)}^2+(p_y-q_y{)}^{}$