There are distinct lattice points marked on the 2D plane (2 dimensional).
Find least possible value of , such that we can always choose 2 points out of points (wherever they may be marked), such that there's at least one more lattice point on the segment joining them.
Details and assumptions:-
In the 2D plane (or Cartesian plane), every point can be represented as coordinates , where
Lattice points are points that have integer coordinates.