Minimum Area Rectangle - Algorithm

$1.$ Store all points in a hash set.

$2.$ For each pair of points $(x_1, y_1)$ and $(x_2, y_2)$ where $x_1 \neq x_2$ and $y_1 \neq y_2$ (potential diagonal corners):

$3.$ Check if $(x_1, y_2)$ and $(x_2, y_1)$ are in the set.

$4.$ If yes, compute area and update minimum.