There are distinct lattice points marked in the 3D space.
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 3D space, every point can be represented as coordinates , where
Lattice points are points that have integer coordinates.
Easier version 2D
Harder version 5D